Determine the value of a so that the line whose equation is ax+y-4=0 is perpendicular to the line containing the points (2,-5) and (-3,2)

Answers

Answer 1

First, write the equation of the line containing the points (2,-5) and (-3,2).

We can use 2 point form, or point-slope form.

Let's use point-slope form.

the slope m is [tex] \frac{-5-2}{2-(-3)}= \frac{-7}{5} [/tex], then use any of the points to write the equation. (ex, pick (2, -5))

y-(-5)=(-7/5)(x-2)

y+5=(-7/5)x+14/5

y= (-7/5)x+14/5 - 5 =(-7/5)x+14/5 - 25/5 =(-7/5)x-11/5

Thus, the lines are

i) y=-ax+4 and ii) y=(-7/5)x-11/5

the slopes are the coefficients of x: -a and (-7/5),

the product of the slopes of 2 perpendicular lines is -1,

so

(-a)(-7/5)=-1

7/5a=-1

a=-1/(7/5)=-5/7

Answer: -5/7

Related Questions

In science class, Savannah measures the temperature of a liquid to be 50∘ Celsius. Her teacher wants her to convert the temperature to degrees Fahrenheit. What is the temperature of Savannah's liquid to the nearest degree Fahrenheit

Answers

Final answer:

To convert the temperature of Savannah's liquid from Celsius to Fahrenheit, use the equation °F = (°C × 9/5) + 32. Savannah's temperature in Celsius is 50°, so her temperature in Fahrenheit is 122°F.

Explanation:

To convert the temperature from Celsius to Fahrenheit, you can use the equation:
°F = (°C × 9/5) + 32.
In this case, Savannah's temperature in Celsius is 50°. Using the equation, we can calculate her temperature in Fahrenheit as:
°F = (50 × 9/5) + 32 = 122°F.
Therefore, the temperature of Savannah's liquid to the nearest degree Fahrenheit is 122°F.

Final answer:

Savannah's liquid, initially measured at 50°C, converts to 122°F using the formula F = C x (9/5) + 32.

Explanation:Converting Celsius to Fahrenheit

To convert the temperature from degrees Celsius to degrees Fahrenheit, we use the conversion formula: F = $ C \times \frac{9}{5} + 32 $, where F is the temperature in degrees Fahrenheit and C is the temperature in degrees Celsius.

In Savannah's case, she measured the temperature as 50°C. Applying the conversion formula:

First, multiply the Celsius temperature by $ \frac{9}{5} $50 \times \frac{9}{5} = 90Then, add 32 to this result to find the Fahrenheit temperature.90 + 32 = 122

Therefore, the temperature of Savannah's liquid to the nearest degree Fahrenheit is 122°F.

To the nearest square unit, what is the area of the shaded region?

Answers

Since the diagram is a regular octagon, it can form 8 of the same triangles.
The area of one triangle= 1/2 x 15 x 18.11
=135.825
The area of the octagon = 135.825 x 8
= 1086.6
The area of shaded region will be the area of the octagon minus the square
The area of the shaded region = 1086.5-(15x15)
=861.6
Answer will be C as you need to round off to three significant figures

First we need to distribute it in parts of
2 trapezium
1 rectangle
These reading are for shaded region
Each side of octagone is 15 as it is regular
The height of octagone=18.11 x 2=36.22 this is one side of trapezium
and the other is 15 as it is regular
the height of trapezium=10.61 from the whole horizontal length is equal to vertical as it is regular octagone
then we need to subtract this horizontal length by 15 which is one of the side =36.22-15=21.22 then divide it by 2 so that can get height of each trapezium =10.61
so the area of each trapezium= 0.5 x (36.22+15) x 10.61=271.7
And of two are= 271.7 x 2 =543.4
The area of triangle = 15 x 21.22 ( this is not the area of rectangle shown it is the area of rectangle which is above it and part of shaded region.
=318.3
Area of shaded region = 543.44 + 318 3 =861.7=862 to nearest whole number
SO ANSWER IS C THAT IS 862 square units

Outside a home there is a keypad that will open the garage if the correct four digit code is entered.? How many codes are possible?

Answers

Assume that none of the digits on the keypad are repeated. This means that we have 10 digits: 0,1,2,3,4,5,6,7,8,9.

The number of ways to arrange 10 distinct digits is
10! = 10*9*8*7*6*5*4*3*2*1 = 3,628,800

Answer: 3,628,800
That is 3 million, 628 thousand, and 800.

Final answer:

There are 10,000 possible codes that can be entered into the keypad to open the garage.

Explanation:

The number of possible codes is determined by the number of choices for each digit of the code. In this case, there are 10 possible choices for each digit (0-9). Since there are 4 digits in the code, we can multiply the number of choices for each digit together to find the total number of possible codes: 10 x 10 x 10 x 10 = 10,000. Therefore, there are 10,000 possible codes that can be entered into the keypad to open the garage.

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1. Evaluate 6.314 - 9.77.

3.456
-3.464
-3.456
-16.084

2. Evaluate -5.118 - (-4.1).

-9.218
-1.018
1.018
9.218

3. Find the value of x + y for x = 75.9 and y = 2.65.

10.24
102.4
78.55
79.55

4. Find the value of -x + y for x = 75.9 and y = 2.65.

-78.55
78.55
73.25
-73.25

Answers

Evaluate 6.314 - 9.77.

3.456
-3.464
-3.456 ☆
-16.084

2. Evaluate -5.118 - (-4.1).

-9.218
-1.018 ☆
1.018
9.218

3. Find the value of x + y for x = 75.9 and y = 2.65.

10.24
102.4
78.55 ☆
79.55

4. Find the value of -x + y for x = 75.9 and y = 2.65.

-78.55
78.55
73.25
-73.25☆

Answer:

1. -3.456

2. -1.018

3. 78.55

4. -73.25

Step-by-step explanation:

In Algebra, the following notations have to be considered.

Algebra is a branch of mathematics that deals with the computation of numbers irrespective of the signs involved.

- × - = +

+ × - = -

- × + = -

+ × + = +

Therefore,

1. 6.314 - 9.77 = -3.456

2. -5.118 - (-4.1) = -5.118 + 4.1 = -1.018

3. x + y for x = 75.9 and y = 2.65.

This requires substitution

75.9 + 2.65 = 78.55

4. -x + y for x = 75.9 and y = 2.65

= -75.9 + 2.65

= -73.25

Find 3 consecutive even intergers if the sum is 108

Answers

x+ (x+2)+(x+4)= 108
3x+6= 108
3x=102
x= 34

Final answer: 34, 36, 38

You are required to take five courses, one each in humanities, sociology, science, math, and music. you have a choice of 2 humanities courses, 2 sociology courses, 6 science courses, 6 math courses, and 8 music courses. how many different sets of five courses are possible?

Answers

Final answer:

By multiplying the course options together for Humanities, Sociology, Science, Math and Music (2*2*6*6*8), we found that there are a total of 576 different sets of five courses.

Explanation:

To answer this question, we have to calculate the number of different sets of five courses. This can be done by multiplying the number of choices available for each requirement. So, if you have 2 humanities courses, 2 sociology courses, 6 science courses, 6 math courses, and 8 music courses to decide from, the calculation would be as follows:

We then multiply these options together (2*2*6*6*8) to get the total number of different sets of courses possible, which is 576.

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To find the total number of different sets of five courses, multiply the number of choices for each course category: 2 (Humanities) × 2 (Sociology) × 6 (Science) × 6 (Math) × 8 (Music). This results in 1152 different sets of five courses.

To determine the number of different sets of five courses possible, we need to consider the choices available for each category:

- Humanities: 2 choices

- Sociology: 2 choices

- Science: 6 choices

- Math: 6 choices

- Music: 8 choices

The total number of different sets of five courses can be found by multiplying the number of choices in each category together. Here is the calculation:

2 × 2 × 6 × 6 × 8

Let's calculate this step-by-step:

1. 2 × 2 = 4

2. 4 × 6 = 24

3. 24 × 6 = 144

4. 144 × 8 = 1152

Therefore, the number of different sets of five courses possible is: 1152

The teen club had a cupcake sale. they started with 126 cupcakes. they sold 2/3 of their cupcakes in the morning. how many were left for them to sell in the afternoon?

Answers

126 ÷ 3= 42
42×2= 84 (number of cupcakes sold)
126-84= 42 (number of cupcakes left)

What equation results from completing the square and then factoring? x2 + 6x = 13

Answers

Step 1: Subtract 13 from both sides.
x^2+6x−13=13−13x^2+6x−13=0
Step 2: Use quadratic formula with a=1, b=6, c=-13.
x=−b±√b2−4ac2ax=−(6)±√(6)2−4(1)(−13)2(1)
x=−6±√882
x=−3+√22 or x=−3−√22
Answer would be
x=−3+√22 or x=−3−√22

The rate of inflation is 3% . The cost of an item in future years can be found by iterating the function c(x) = 1.03x. Find the cost of a $1500 refrigerator in three years if the rate of inflation remains consistent .

********PLEASE HELP********

Answers

This is the concept of business mathematics, given an inflation rate of 3%, that has modeled the price of items using the function c(x)=1.03x, the cost of the refrigerator in 3 years will be as follows;
cost after 1 year:
c(1)=1.03*1500
=1545
cost after 2 years
c(2)=1.03*1545
=1591.35
the cost after 3 years will be:
c(3)=1.03*1591.35
=$1,639.09

Foe the AP given by a1,a2,......,an,...with non zero common difference, the equation satisfied are

Answers

The given sequence is
a₁, a₂, ..., [tex] a_{n} [/tex]

Because the given sequence is an arithmetic progression (AP), the equation satisfied is
[tex] a_{n}=a_{1}+(n-1)d [/tex]
where
d = the common difference.

The common difference may be determined as
d = a₂ - a₁

The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..

The sum of the first n terms is
[tex]S_{n}= \frac{n}{2} (a_{1}+a_{n})[/tex]

Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is
[tex]a_{n}=1+2(n-1)[/tex]

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100

How many square meters are in 350 square centimeters?

Answers

There are 3.5 square meters in 350 square centimeters. A way to help remember this is that the prefix "centi" means one hundred, and there are a hundred centimeters in one meter. Hope this helps:)

~Ash

Final answer:

To convert 350 square centimeters to square meters, divide by the conversion factor that 1 square meter equals 10,000 square centimeters, resulting in 0.035 square meters.

Explanation:

To convert 350 square centimeters to square meters, we should remember that 1 square meter is equal to 10,000 square centimeters because 1 meter is equal to 100 centimeters and for area, we need to square that conversion (100 cm × 100 cm).

We start with the given quantity of 350 square centimeters. Then, we use the conversion factor 1 square meter is 10,000 square centimeters to perform the calculation, which gives us:

350 cm² × (1 m² / 10,000 cm²) = 0.035 m².

Therefore, 350 square centimeters is equal to 0.035 square meters.

PLEASE HELP 50 POINTS
A sports club rewards teams based on overall points earned in a season. The data for points are shown in the table, where Low represents the fewest points scored and High represents the highest points scored by a single team member.

Team Low High Range Mean Median IQR σ
Team A 22 58 36 42.1 44 18.25 10.35
Team B 38 49 11 43.9 44.5 3.5 2.97
Team C 27 36 9 31.8 32 3.75 2.55

Part A: If the club wants to award the team that has the most consistent scoring among its team members, which team should it choose and why? Justify your answer mathematically. (5 points)

Part B: If the club wants to award the team with the highest average score, which team should it choose and why? Justify your answer mathematically. (5 points)

Answers

Part A: Team C should be chosen if the club wants to award the team that has the most consistent scoring among its team members
Part B: Team B should be chosen if the club wants to award the team w/ the highest average score
hope this helps:)
please mark thanks and brainliest:)

Part A: Team A, because they constantly win and have the most wins.

Part B: Team A, because they have the highest median.

Your welcome:)

if it was wrong I am sorry:(

My sister is 15 years older than i am. the sum of our ages is 41. find our ages

Answers

x = you, and y = ur sis

x + y = 41
y = x + 15

x + (x + 15) = 41
2x + 15 = 41
2x = 41 - 15
2x = 26
x = 26/2
x = 13 <== u r 13

y = x + 15
y = 13 + 15
y = 28 <== ur sis

A and b are complementary angles find a and b a=3/4x-13 b=3x-17

Answers

3/4x-13+3x-17=90

3 3/4x-30=90

3 3/4x = 120

x=32

A=11
B=79

Two numbers are in the ratio of 3 to 4. If nine is subtracted from each, they are in the ratio of 3 to 5. Find the numbers.

Answers

12:16= 3:4 when simplified
12-9=3
16-9=5
When subtracting 9 from each the new ratio is 3:5

Hope this helps!

If BC=5.3, CD=8.8, and AD= 14.3, find AB to the nearest tenth.

Answers

The picture above shows us that triangle ABC and triangle ACD are similar triangles by showing us that then have congruent angles. This tells us that each side of the triangle is bigger/smaller than the other triangle by the same factor. To find this out, we use two corresponding sides of the two triangles. In this case, two corresponding lengths that are given to us are BC and CD. If we divide CD by BC, this tell us that triangle ACD is approximately 5/3 bigger than triangle ABC. Using this, we can figure out the length of AB. We simply take 14.3 and divide it by 5/3. We divide because we are trying to mind the magnitude of the length of the smaller triangle. If we were looking for the length of the larger triangle, we would have multiplied. After dividing 14.2 by 5/3, we find that the length of AB is about 8.6.

Step-by-step explanation:

8.6 is the answer to the equation

In two or more complete sentences describe how to determine the appropriate model for the set of data, (0,2), (2,3), (5,4), (10,5).

Answers

When you have a set of data points and you want to get a model out of it, you do data fitting. The first thing to do is plot the points using a scatter plot type of chart as shown in the picture. I used MS Excel as a tool for data fitting. On the left side of the picture, I used linear fitting. Then, it gives you the linear equation y=0.2907x + 2.2643. It has a correlation coefficient, R^2, of 0.9595. This measures how good your data fits the model equation. The closer it is to 1, the better. However, it is rare to get 1 because that is very ideal. A R^2 of 0.9595 is very satisfactory already. But if you want an even better model, the right side of the picture shows data fitting on a quadratic equation with an equation of y=0.0209x^2 +0.506x+2.0232 with R^2 of 0.9992.

Answer:

The closer this value is to 1 or -1, the better the fit. For linear, the correlation coefficient R2=.96. For quadratic, the R2=.99. For exponential, the R2=.91. This means quadratic is the best fit, very good actually since .99 is very close to 1.

Step-by-step explanation:

midpoint of 4 – 3i and –2 + 7i please help!!!!!

Answers

hello :
let : z = 4-3ii z' = -2+7i
the distance between the points 4-3i and -2+7i is : |z - z' |
|z - z' | = |4-3i+2-7i| = |6-10i | =√(6²+(-10)²) =√136

How many cubic feet of space is there in a warehouse that is 610 feet wide by 140 feet deep and has an 18 foot ceiling?

Answers

To solve:
Find the volume by multiplying the length, width, and height together.

(610)(140)(18)=1537200

Answer: 1,537,200 ft^3

Final answer:

The warehouse has a volume of 252,000 cubic feet, calculated using the corrected dimensions of 140 feet in length, 100 feet in width, and an 18-foot ceiling.

Explanation:

To calculate the volume of a warehouse, we use the formula for the volume of a rectangular prism, which is length × width × height. However, the question contains a typo about the width of the warehouse.

We are informed that the correct width is 100 feet, not 610 feet.

Given the corrected dimensions (140 feet by 100 feet with an 18 foot ceiling), we can now calculate the volume of the warehouse.

Volume = length × width × height
= 140 feet × 100 feet × 18 feet
= 252,000 cubic feet.

Therefore, the warehouse has a volume of 252,000 cubic feet of space.

An electronic device that previously sold for $21 has been reduced to 17.43. the price reduction, rounded to the nearest whole percent is

Answers

percent decrease = (new number - original number) / original number...* 100
= (21 - 17.43) / 21....* 100
= 3.57 / 21....* 100
= 0.17 * 100
= 17%.....the price reduction was 17%

The price reduction, rounded to the nearest whole percent is [tex]17[/tex]%.

What is whole number?

The whole numbers are the part of the number system which includes all the positive integers from 0 to infinity. These numbers exist in the number line.

What is Percentage?

In mathematics, a percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.

According to question, an electronic device that previously sold for $[tex]21[/tex] has been reduced to [tex]17.43[/tex]

We have to find the price reduction, rounded to the nearest whole percent .

So percentage reduction

[tex]=\frac{21-17.43}{21}[/tex]×[tex]100[/tex]%

[tex]=0.17[/tex]×[tex]100[/tex]%

[tex]=17[/tex]%

Hence, price reduction, rounded to the nearest whole percent is [tex]17[/tex]%.

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PLEASE HELP ^^^^^^^^^^^^

Answers

Let's work this problem out:

Step one:4(-2) = -8, right?

Step two: 3(-7) = -21, right?

Step 3: So, -8 + (21) = 13,right?

Your answer would be: 13 (option B.)

A bag contains 30 red tiles, 15 green tiles, and 5 yellow tiles. One tile is drawn and then replaced. Then a second tile is drawn. What is the probability that the first tile is yellow and the second tile is green?
A.
1%
B.
3%
C.
6%
D.
18%

Answers

Allright we know that the total number of tiles is 50 so we can assume that if you pick the first tile and its yellow ther is a (5/50) chance to pick it up and then REPLACED meaning that it is put back so you have still 50 tiles to choose from, if then you choose a green tile you have a (15/50) chance of picking it up

(5/50)*(15/50)=0.03 YOU HAVE A 3 PERCENT CHANCE!!!:D
^This is to calculate the probability of picking it in that order)^

the ratio of the corresponding side of two regular polygons is 3:4 the area of the larger polygon is 320 m squared what is the area of the smaller polygon?

Answers

The area of the smaller polygon with a side ratio of 3:4 is 180 m2 for the smaller polygon.

When dealing with the areas of similar polygons, if the ratio of corresponding sides is given, such as 3:4 in this case, the ratio of their areas is the square of the ratio of their sides. This is because the area is a two-dimensional measure, so each dimension is scaled by the ratio.

Given that the area of the larger polygon is 320 , we establish that the scale factor is 3 for the smaller polygon and 4 for the larger one.

To find the area of the smaller polygon, we use the fact that the ratio of the areas is (3/4)2 = 9/16.

This means that the area of the smaller polygon is 9/16 times the area of the larger polygon. Therefore, focusing on the comparison of areas, we calculate:

Area of smaller polygon = (9/16) x Area of larger polygon

= (9/16) x 320

Area of smaller polygon = 180

Find the period of the function. y = 5 cos one divided by twox

Answers

[tex]\bf \qquad \qquad \qquad \qquad \textit{function transformations} \\ \quad \\ % function transformations for trigonometric functions \begin{array}{rllll} % left side templates f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}} \\\\ f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\ f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}} \end{array} \\\\ -------------------\\\\[/tex]

[tex]\bf \bullet \textit{ stretches or shrinks}\\ \left. \qquad \right. \textit{horizontally by amplitude } |{{ A}}|\\\\ \bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the x-axis} \\\\ \bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\ \left. \qquad \right. \textit{reflection over the y-axis} \\\\ \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\ [/tex]

[tex]\bf \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\ \left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\ \bullet \textit{vertical shift by }{{ D}}\\[/tex]

[tex]\bf \left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\ \left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\ \bullet \textit{function period or frequency}\\ \left. \qquad \right. \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\ \left. \qquad \right. \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)[/tex]

so.. with that template in mind, let's see

[tex]\bf \begin{array}{llll} y=5cos&\left(\frac{1}{2}x\right)\\ &\ \uparrow \\ &\ B \end{array}\qquad period\qquad \cfrac{2\pi }{B}\implies \cfrac{2\pi }{\frac{1}{2}}\implies \cfrac{2\pi }{1}\cdot \cfrac{2}{1}\implies 4\pi [/tex]

Write the equation in exponential form.

Answers

the answer is D. ( btw,the picture quality sucks,try cropping it)

A sample of size 40 is taken from an infinite population whose mean and standard deviation are 68 and 12 respectively. the probability that the sample mean is larger than 70 equals:

Answers

To solve this problem, we can use the z statistic to find for the probability. The formula for z score is:

z = (x – u) / s

Where,

u = the sample mean = 68

s = standard deviation of the samples = 12

x = sample value = 70

In this case, what is asked is the probability that the sample mean is larger than 70, therefore this corresponds to the right of z on the graph of normal distribution.

z = (70 – 68) / 12

z = 2 / 12

z = 0.17

Therefore finding for P at z ≥ 0.17 using the standard distribution tables:

P (z = 0.17) = 0.5675

But this is not the answer yet since this is the P to the left of z. Therefore the correct one is:

P (z ≥ 0.17) = 1 - 0.5675

P (z ≥ 0.17) = 0.4325 = 43.25%

The probability that the sample mean is larger than 70 is 43.25%

The probability that the sample mean is larger than 70 for a sample size of 40 from a population with a mean of 68 and standard deviation of 12 is approximately 14.69%.

To determine this probability, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means will be approximately normal if the sample size is large enough (n ≥ 30 is a common benchmark).

The standard error of the mean is calculated using the formula:

SE = σ / √n

Where σ is the population standard deviation and n is the sample size.

In this case:
σ = 12
n = 40

Therefore,

SE = 12 / √40 ≈ 1.8974

The z-score is calculated using the formula:

z = (M - μ) / SE

Where M is the sample mean,
μ is the population mean,
SE is the standard error.

Given,
μ = 68
M = 70

Therefore,

z = (70 - 68) / 1.8974 ≈ 1.054

Using the z-table, we find the probability that a z-score is less than 1.054 is approximately 0.8531.

However, we need the probability that the sample mean is greater than 70, so we subtract this from 1,

1 - 0.8531 ≈ 0.1469

Thus, the probability that the sample mean is larger than 70 is approximately 0.1469, or 14.69%.

linear function graph express in slope intercept form

Answers

The slope intercept form is y=(1/4)x-4

Please Help!! Find the measure of angle 2. Image Attached

Answers

opposite angles = 180 degrees

180-111 = 69

angle 2 = 69 degrees

What is the next number in the sequence 5 10 3 15 20 13 25 30?

Answers

We are asked to determine the next numbers in the given sequence such as 5 10 3 15 20 13 25 30. In order for us to answer this problem, we need to find the difference between the two consecutive number and perform subtraction such as shown below:
For 5 and 10, the difference is -5
For 10 and 3, the difference is 7
For 3 and 15, the difference is -12
For 15 and 20, the difference is -5
For 20 and 13, the difference is 7
For 13 and 25, the difference is -12
For 25 and 30, the difference is -5

Now, we can identify the next two numbers in the sequence since we already know that the format of the difference is -5, 7 and -12. So the next numbers are the following:
30 - 7 = 23
23- (-12) = 35

Therefore, the sequence is 5 10 3 15 20 13 25 30 23 35

andy states, " if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram."

A.True
B.False

Answers

A. True, to bisect is to divide into equal or congruent halves. Because you can do so it means its going to be a parallelogram.

The statement "If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram." is True .

What is parallelogram?

"It is a quadrilateral whose opposite sides are parallel and equal in length."

What is diagonal?

"It is a straight line that connects the opposite corners of a polygon through its vertices."

According to the question

The statement states that

"if the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram."

Now ,

As per properties of parallelogram

In any quadrilateral the two diagonals bisect each other is a parallelogram .

Hence, The statement is True .

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Jerry is experiencing hallucinations. he hears voices telling him which people to avoid because they are out to get him. he believes that he is a wealthy heir related to the trump family. he avoids his actual family and exhibits confusion and fear. jerry is most likely experiencing __________ schizophrenia. Which of the following can be accurately said about climax communities? What causes sweating during running in order to maintain homeostasis? Jenny is running for more than an hour on a pleasant sunny morning. Her body is sweating to maintain homeostasis, which is caused by the action of a/an (blank) What two STIs cannot be cured and can always be passed to someone else, even if you do not have symptoms? (20pts!) The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks, and it will cost an additional $250 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S . Then use this equation to find the total cost to transport 19 tons of sugar. How many liters of oxygen are required to burn 3.86 l of carbon monoxide? Which of John Cage's works is perceived by some to be a gimmick? A. Illiac Suite B. Imaginary Landscape no. 4 C. Einstein on a Beach D. 4'33" Taking the sociological approach to everyday life has strengths and weaknesses. one of the weaknesses of this approach is what? Orlando bought a new couch for $2,904, using the furniture store's finance plan. He will pay $121 a month for 24 months. Which equation can Orlando use to find out how much money he still owes after each month of the plan?Select one:a. y=2,904+121x b. y=2904121x c. y=121x2,904 d. y=121x Store employees are handing out coupons. Every 10th customer gets a $1 coupon. Every 12th customer gets a $2 coupon.Which customer is the first to receive both coupons? How does planning activities at your own home help you avoid situations involving alcohol 1 How did prominent figures of the Gilded Age, such as Andrew Carnegie, both support and challenge the social order of the time?A. They argued that government needed to step in to correct abuses and corruption within the economic and political system, while also supporting political leaders as having the right intentions.B. They argued that people who were struggling had the opportunity to improve their lives under current conditions but that there was a lack of law enforcement against organized crime.C. They argued that wealthy business owners were a natural and positive outcome of the era's growth but that they did also have an obligation to help those who were suffering.D. They argued that industrialization had divided society into classes with variations in wealth that were too wide but that most of those at the top were sympathetic to the poor. The product of twenty one negative integers is negative? True of false Find the indicated probabilities using the geometric distribution, the Poisson distribution, or the binomial distribution. Then determine if the events are unusual. If convenient, use the appropriate probability table or technology to find the probabilities.A newspaper finds that the mean number of typographical errors per page is six. Find the probability that (a) exactly four typographical errors are found on a page, (b) at most four typographical errors are found on a page, and (c) more than four typographical errors are found on a page. Name an angle adjacent to DGE. A. FGI B. EGH C. HGJ D. JGI Three beakers contain clear, colorless liquids. one beaker contains pure water, another contains salt water, and another contains sugar water. how can you tell which beaker is which? ( What is not a characteristic of a multiparty system? PLEASE HELP!!! For the given quadratic equation convert into vertex form, find the vertex, and find the value for x = 6. Show your work.y = -2x2 + 2x +2 PLEASE HURRY!!! 30 POINTSDIMENSIONAL ANALYSISA water cooler can hold 50 pt of water.About how many liters of water can it hold?1 L1.06 qt23.6 L26.5 L94.3 L106.0 L Perform an on-line search to discover what conditions are favourable to the growth of moss. be sure to include a comment on ph conditions. Steam Workshop Downloader