DEF is a right angle ?

DEF Is A Right Angle ?

Answers

Answer 1
Yes, DEF is a right triangle.
Answer 2

Answer:

False

Step-by-step explanation:

Since we want to test if it is a right triangle, we can use Pythagorean Theorem

a^2+b^2=c^2

where a and b are the legs, and c is the hypotenuse.

In the given triangle, 23 and 26 are the legs, since they are shorter sides.  42 is the hypotenuse, since it is the longest side.

Therefore, a is 23, b is 26 and c is 42. Substitute these values into the equation

23^2+26^2=42^2

Evaluate the exponents

529+676=1764

Add 529 and 676

1205=1764

This statement is not true, 1205 is not equal to 1764. Therefore this is not a right triangle.


Related Questions

According to a disease control​ center, 26​% of people in a certain country have high blood pressure. If a person in this country is selected at​ random, determine the odds in favor of this person having high blood pressure.

Answers

Answer:

25

Step-by-step explanation:

Lets choose america and lets say there are 100 people in america then 25 I think tell me if it helped

A line has a slope of 9 and a y-intercept of 5.What is its equation in slope-intercept form

Answers

Answer:

y=9x+5

Step-by-step explanation:

y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

Given that m (the slope) = 9 and b (the y-intercept) = 5, we can substitute directly into the equation and get this answer:

y=9x+5

Suppose you want to simulate surveying 100 people to find the date of the month (1st, 2nd, 3rd, . . .) each was born. You decide to simulate the survey by having your computer randomly list values 1 through 31. Would the simulation provide a fair representation of an actual survey of 100 people? Why or why not?


Yes, because all possible dates of the month would be represented.
No, because for the 12 months in the year not all of the dates are represented. No, because for the 12 months in the year each date is not equally likely.
Yes, because it is possible to get 100 random values in a simulation.

Answers

Answer:

No, because for the 12 months in the year each date is not equally likely.

Step-by-step explanation:

Not all months have 31 days, meaning that numbers as high as 31 will not be as common.

Final answer:

The proposed simulation overlooking the fact that not all months have 31 days, results in a bias for the dates 29th, 30th, and 31st. Therefore, it wouldn't represent the actual survey accurately.

Explanation:

The simulation proposed would not provide a fair representation of an actual survey of 100 people for their birth dates. This is rooted in the fact that not all months have 31 days. The assumption of the simulation means that the dates from 1 through 31 have an equal likelihood of being selected, ignoring the fact that in reality, dates like the 30th and 31st may not be possible for all months. An accurate simulation would require consideration for these variations, meaning dates 1 through 28 should be uniformly represented, with the 29th, 30th, and 31st having conditional probabilities based on the month.

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The repeating decimal number 8.2151515... written as a fraction is
(Simplify your answer. Type a fraction.)

Answers

Closest would be 8 43/200

Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x > or = to 86)?

Answers

Answer:

P(X >= 86) =  P (Z  >= 1) = 0.1587 from the Z-scores table

Step-by-step explanation:

Hopefully this time I will not make an algebraic mistake.

Ok

so  mean u = 79,  and standard dev = s = 7

We want P(X >= 86)

Standardize:

P ( (X - u)/s  >=  (86 - 79)/7 ) =  P (Z  >= 1) = 0.1587 from the Z-scores table

if it is P(x<=86) the answer is 0.84

Step-by-step explanation:

3b + 1 = -17
Show work please

Answers

Look at the attached picture

Hope it will be helpful to you

What number multiplied by 8 will give a product of 9.6?

Answers

Answer:

1.2

Step-by-step explanation:

Write out the equation and let mbe the missing number:

8 × m = 9.6

Divide 8 to both sides:

[tex]\frac{8}{8}[/tex] × m = [tex]\frac{9.6}{8}[/tex]

Simplify for M

m = 1.2

Final answer:

The number that needs to be multiplied by 8 to yield the product of 9.6 is 1.2. This is calculated by dividing 9.6 by 8.

Explanation:

The student is asking to solve for a number that when multiplied by 8 results in the product of 9.6. This can be solved by a straightforward division operation. When we say, 'a number multiplied by 8 equals 9.6', we're actually writing an equation for multiplication. To get that number, we'll need to divide 9.6 by 8 because division is the inverse operation of multiplication.

Here's how you do it, step-by-step:

Write down the division operation of 9.6 ÷ 8. Perform the division.

The solution to 9.6 ÷ 8 is 1.2. So, the number multiplied by 8 to get 9.6 is 1.2.

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The current year’s depreciation expense using the straight-line method and assuming only one depreciable property, is P20,000. What is the machine’s useful life when it was purchased for P200,000 with a salvage value of P20,000?

Answers

Answer:

Machine's useful number of years = 9 years

Step-by-step explanation:

Using the straight line method, depreciation is calculated as the difference between the cost of the equipment minus the salvage value, all divided by the number of useful years.

Yearly Depreciation

= (Cost - Salvage value) ÷ (Number of useful years)

Yearly depreciation = P20,000

Cost = P200,000

Salvage Value = P20,000

Number of useful years = n

20000 = (200000 - 20000) ÷ n

20000 = (180000/n)

n = (180000/20000) = 9 years

Hope this Helps!!!

Pure silver has a density of 10.49 g/cm3. If you have
42 grams of pure silver, what is the volume of your sample?
Round to four significant digits.
0.2498 cm^3
1.915 cm^3
2.216 cm^3
4.004 cm^3

Answers

Answer: Volume of sample is 4.004 cm³

Step-by-step explanation:

Given: Density of pure silver is 10.49 g/cm³

Mass of silver = 42 grams

To find: The volume of sample

As we know

[tex]\text{ Density }= \dfrac{\text {Mass }}{\text {Volume }}[/tex]

As given in question we have

[tex]10.49 \text { g/}cm^3 = \dfrac{42 g }{\text {Volume}} \\\\\Rightarrow \text {Volume}= \dfrac{42g}{10.49\text { g/}cm^3 } \approx 4.0038 \approx 4.004 cm^3[/tex]

Hence 4. is the right option

Volume of sample is 4.004 cm³

"If x = y, then x + 4 = y + 4" represents the ________ property of equality.
Question 9 options:

A)

subtraction

B)

addition

C)

transitive

D)

substitution

Answers

“If x = y, then x + 4 = y + 4” represents the additive property of equality. This means the same number is added on both sides of the equal sign.

Answer:

B

Step-by-step explanation:

3x-61=2x-50
I need the answer​

Answers

Answer: [tex]x = 11[/tex]

Solving for variable x

Move all terms containing x to the left, all other terms to the right

Add -2x to each side of the equation

[tex]-61 + 3x + -2x = -50 + 2x + -2x[/tex]

Combine like terms: 3x + -2x = 1x

[tex]-61 + 1x = -50 + 2x + -2x[/tex]

Combine like terms: 2x + -2x = 0

[tex]-61 + 1x = -50 + 0\\-61 + 1x = -50[/tex]

Add 61 to each side of the equation.

[tex]-61 + 61 + 1x = -50 + 61[/tex]

Combine like terms: -61 + 61 = 0

[tex]0 + 1x = -50 + 61\\1x = -50 + 61[/tex]

Combine like terms: -50 + 61 = 11

[tex]1x = 11[/tex]

Divide each side by 1

[tex]1x/1=11/1\\x=11[/tex]

My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans?

Answers

Final answer:

To find the number of different ways for the four friends to choose who cooks and who cleans, one can use combinators to calculate that there are 6 different combinations.

Explanation:

The student asked, "My three friends and I have dinner together every weekend. Each weekend, two of us cook and the other two clean up afterwards. How many different ways are there for us to choose who cooks and who cleans?" To solve this, we can use combinatorics, which is a branch of mathematics dealing with combinations of objects belonging to a finite set in accordance with certain constraints.

There are four friends, so we want to know in how many ways we can select two of them to cook. The number of ways to choose the two people who will cook can be calculated using the formula for combinations, which is C(n, k) = n! / (k! * (n-k)!), where n is the total number of items, and k is the number of items to choose.

Here, n would be 4 (since there are four friends), and we want to choose 2 (the number of friends who will cook), so we get C(4, 2) = 4! / (2! * (4-2)!) = (4 * 3) / (2 * 1) = 6 ways to choose cooks. The other two automatically become the cleaners. So, there are 6 different ways for the four friends to choose who cooks and who cleans.

Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:


rectangle with a length of x plus 25 and width of x plus 15 with a rectangle in the bottom right corner labeled bench that has a length of 10 and width of 3


Write an equation to determine the area, A, of the patio that will be painted.


A = (x + 18)(x + 35)

A = (x + 15)(x + 25) + 30

A = (x + 5)(x + 22)

A = (x + 25)(x + 15) − 30

Answers

Answer:

A = (x + 18)(x + 35)

Step-by-step explanation:

Answer:

A = (x + 25)(x + 15) − 30

Step-by-step explanation:

Area of the patio:

Sp = lwl = x +25w = x + 15S = (x + 25)(x + 15)

Area of bench:

Sb= lw = 10*3 = 30

Area A to be painted is the area of patio minus area of bench:

A =  (x + 25)(x + 15) - 30

So the last choice is the correct one.

please help me with this problem

Answers

Answer:

x - 16

Step-by-step explanation:

Let the height of the taller palm tree be x.

The shorter palm tree's height is

x - 16

Answer:

x < 16

This is the answer but there has to be 20 characters so I wrote this.

Just go with the other guys answer

Plz help i will give brainliest

Answers

Answer:

I 7AM I you have the same problem as the one that was the same as a good friend and a friend

The value of the paint increased by 60%

NEED HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:i think a or c

Step-by-step explanation:


Solve the inequality for x.

–8x – 16 < –72

A) x < 7
B) x < 11
C) x > 7
D) x > 11

Answers

Answer:

x > 7

Step-by-step explanation:

–8x – 16 < –72

Add 16 to each side

–8x – 16+16 < –72+16

-8x < -56

Divide each side by -8, remembering to flip the inequality

-8x/-8 > -56/-8

x > 7

Two friends shop for fresh fruit. Jackson buys a watermelon for ​$8.85 and 3 pounds of cherries. Tim buys a pineapple for ​$3.35 and 2 pounds of cherries. Use the variable p to represent the​ price, in​ dollars, per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.

Answers

Answer + Step-by-step explanation:

Jackson spent $8.85 on watermelon and p*3 dollars on cherries, which simplifies to 8.85 + 3p dollars.

Tim spent $3.35 on pineapple and p*2 dollars on cherries, which simplifies to 3.35 + 2p dollars.

To find how much more Jackson spent than Tim, we can subtract Tim's total cost from Jackson's total cost, giving:

(8.85 + 3p) - (3.35 + 2p) = 5.50 + p

So Jackson spent $5.50 + p more than Tim.

James places 1 counter in the first box.he placed 2 counters in the second box,4 counters in the third box ,8 counters in the fourth box ,and continues the pattern until he gets to the tenth box how many counters did James place in the tenth box?

Answers

2 to the power of 9 which is 512

He placed 512 counters in the tenth box

Because... If you do a (number pattern aka a list of numbers that follow a certain sequence or pattern) your pattern will be 1,2,4,8,16,32,64,128,256,512, So in the tenth box it will be 512 because I did the pattern and reached the tenth number, which is 512 so me and Avajcantu are correct.

You can also say 2 to the power of 9 or 10 to get 512 it’s the same thing. ⇒I hope this helped <3 and don’t copy without permission thank you!

How many different triangles can be constructed with angle measurements ​ 90°,45°,50° ​ ?

Answers

Answer:

Infinite

Step-by-step explanation:

There can be infinite triangles with those angle measurements as long as they are similar triangles.  This means that the sides are proportional.

What is the value of x

Answers

Answer:

x = 3

Step-by-step explanation:

[tex] \frac{24}{32} = \frac{9x - 9}{6x + 6} \\ \frac{3}{4} = \frac{3(3x - 3)}{3(2x + 2)} \\ \frac{3}{4} = \frac{(3x - 3)}{(2x + 2)} \\ 4(3x - 3) = 3(2x + 2) \\ 12x - 12 = 6x + 6 \\ 12x - 6x = 6 + 12 \\ 6x = 18 \\ x = \frac{18}{6} \\ x = 3[/tex]

What can be concluded about the volume of the
composite figure? Check all that apply.
It is the difference of the shape's volumes.
It is the product of the shape's volumes.
It is the sum of the shape's volumes.
O
The volume in terms of pi is the exact volume.
Using the calculator to multiply by pi provides the
approximate volume.
The composite figure's volume is
tcm?​

Answers

AnsweR: I did the hw and got the answers right here,

It is the sum of the shape’s volumes.

The volume in terms of pi is the exact volume.

Using the calculator to multiply by pi provides the approximate volume.

Step-by-step explanation:

The correct answer is :

It is the sum of the shape’s volumes.The volume in terms of pi is the exact volume.Using the calculator to multiply by pi provides the approximate volume.

What is a volume of composite shapes?

The volume of the composite solid is simply the sum of the volumes of its parts. For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of.

How do you find the volume of a figure?

Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height. How you refer to the different dimensions does not change the calculation: you may, for example, use 'depth' instead of 'height'.

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Estimate the sum of the decimals below by rounding to the nearest whole
number. Enter your answer in the space provided.
7.739
1.314
+ 2.073

Answers

Answer:

11

Step-by-step explanation:

1. round all decimals (7.739 to 8, 1.314 to 1, and 2.073 to 2)

2. 8+1+2=11

                                   OR

1. 7.739+1.314+2.073=11.126

2. round answer (11.126 to 11)

answer is 11

I really need someone to help me with this question ASAP.

Answers

Answer:

a=2, b=-20

Step-by-step explanation:

4(2xsquared -5x+3)= 8xsquared -20x +12

What is the volume of a rectangular prism?

Answers

Answer:

multiply: Length x Width x Height

Step-by-step explanation:

Gabriella asked 555 of her hundreds of coworkers how much storage space they were currently using on their computer. Here are their responses (in gigabytes): 4, 8, 8, 9, 114,8,8,9,114, comma, 8, comma, 8, comma, 9, comma, 11 The mean of these amounts is \bar x=8 x ˉ =8x, with, \bar, on top, equals, 8 gigabytes. What is the standard deviation? Round your answer to two decimal places. s_x\approxs x ​ ≈s, start subscript, x, end subscript, approximately equals gigabytes

Answers

Answer:

The standard deviation of the sample is 2.55 gigabytes

Step-by-step explanation:

Here we have the responses as follows;

Storage space usage on their computer [tex]x_i[/tex]

The number of respondents or sample size, n = 5

        [tex]x_i[/tex]            [tex](x_i - \bar x)[/tex]         [tex](x_i - \bar x)^{2}[/tex]

        4                -4                 16

        8                 0                  0

        8                 0                  0

        9                 1                   1

        11                 3                  9

∑      40                                   26

The sum = ∑X = 4 + 8 + 8 + 9 + 11 = 40

The mean  = (The sum)/(The count) = 40/5 = 8

Formula for population standard deviation is;

[tex]\sigma = \sqrt{\frac{\Sigma (x_i - \mu)^2}{n } }[/tex]

Where:

σ = Population standard deviation

μ = Population mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample therefore;

The formula for sample standard deviation is;

[tex]s = \sqrt{\frac{\Sigma (x_i - \bar x)^2}{n - 1} }[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

[tex]\bar x[/tex] = Sample mean

We find each value of [tex](x_i - \bar x)[/tex] by subtracting the x values from the mean, 8, as in the table above, next we find [tex](x_i - \bar x)^{2}[/tex] by squaring the [tex](x_i - \bar x)[/tex].

Next, we find the sum of the differences from the mean square values from the table after which we divide by n - 1, to get [tex]{\frac{\Sigma (x_i - \bar x)^2}{n - 1} } = \frac{26}{5 - 1} = \frac{26}{4} = 6.5[/tex]

We find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Standard deviation, s = 2.5495 ≈ 2.55 to two significant places of decimal.

After making a table for summation the standard deviation of the sample is 2.55 gigabytes.

Use the formula for population standard deviation is:

[tex]\sqrt{\dfrac{\sum{(x_i - \mu)^2}}{n}[/tex]

Where:

σ = Population standard deviation

μ = Population mean

The formula for sample standard deviation is;

[tex]\sqrt{\dfrac{\sum{(x_i - X)^2}}{n-1}[/tex]

Where:

s = Sample standard deviation

n = Sample size

[tex]x_i[/tex] = Each value of the sample

X = Sample mean

Since we are dealing with only 5 out of her hundreds of coworkers we are dealing with a sample, therefore;

The storage used is represented by [tex]x_i[/tex]

The number of respondents or sample size represented by n

Then n = 5

The table for summation is attached below.

Find the sum of the differences from the mean square values from the table after which we divide by n - 1,

[tex]\dfrac{\sum{(x_i - X)^2}}{n-1} = \dfrac{26}{5-1}\\\\\dfrac{\sum{(x_i - X)^2}}{n-1} =6.5[/tex]

Find the root of the result which gives us the standard deviation hence

√6.5 = 2.5495.

Hence,

Standard deviation,

s ≈ 2.55 about two significant places of decimal.

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Help me please!! Geometry is my worse subject

Answers

Answer:

72 meters squared

Step-by-step explanation:

ABC or FED

(4 x 6)/2

18

FED + ACDF + ABC

18 + 36 + 18

A = 72

A crew is made up of 8 men; the rest are women. If 32 % of the crew are men, how many people are in the crew?

Answers

Answer:

12

Step-by-step explanation:

(66 2/3)

---------- (x) = 8

  100

Solve for x

(66 2/3)x = 800

x = 800/(66 2/3)

x = 800/(200/3)

x = 800(3/200)

x = 4(3)

x = 12

Can someone help me and explain what to draw? I need this done ASAP

Answers

Answer: VV

Step-by-step explanation:

what is the maximum height

Answers

Answer:

the highest height would be 144

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