What do the parallel lines shown on segment BD and segment DC represent? _____________________
Answers
the 2 parallel lines mean that the lines are equal
SO since BD = 18, DC is also 18
BD = 18 = DC
Thus, correctly assuming that the point D is the mid point of line segment BC.
Related Questions
How can you prove that a constructed line is parallel to a given line? assume that the transversal line is not perpendicular to the other lines?
Answers
To prove that a line is parallel to another, one usually shows that two lines cut by a transversal have either congruent corresponding angles or alternate interior angles. In the lack of perpendicular transversal or angle knowledge, projecting lines onto a new coordinate system can show matching slopes to confirm parallelism.
Explanation:In mathematics, proving that a constructed line is parallel to a given line typically involves showing that the lines do not intersect and have the same slope or use a parallel postulate. The most common method is taking two lines l and m and a transversal t. If the corresponding angles or alternate interior angles created by t are congruent, then l and m are parallel.
For example: If line l and line m are cut by a transversal t and the corresponding angles (∠1 and ∠2) are congruent, then lines l and m are parallel. The same can be said if the alternate interior angles are congruent.
In some cases, if the transversal line is not perpendicular and we do not know about corresponding or alternate interior angles, we can establish a different coordinate system, project the lines onto the x-axis and y-axis, and show that they have the same slope which proves them to be parallel.
Learn more about Parallel Lines here:https://brainly.com/question/29762825
#SPJ12
The function H(t) = −16t2 + 60t + 95 shows the height H(t), in feet, of a projectile after t seconds. A second object moves in the air along a path represented by g(t) = 20 + 38.7t, where g(t) is the height, in feet, of the object from the ground at time t seconds. Part A: Create a table using integers 1 through 4 for the 2 functions. Between what 2 seconds is the solution to H(t) = g(t) located? How do you know? (6 points) Part B: Explain what the solution from Part A means in the context of the problem. (4 points) (10 points)
Answers
We are given the functions:
h(t) = -16t^2 + 60t + 95
g(t) = 20 + 38.7t
Part A. All we have to do is to plug in the value of t = 1 to 4 on the two functions
t h(t) g(t)
1 139 58.7
2 151 97.4
3 131 136.1
4 79 174.8
Looking at
the table, we can say that the time when h(t)=g(t) must be between t=2 and t= 3
seconds
At t=2 seconds h(t) is above g(t), and at t = 3 seconds h(t) is below g(t).
Therefore the two functions must be at the same height in between.
Part B. The solution in Part A gives us the exact time where the two objects have the same height. Further, we can see from the table that h(t) is decreasing meaning the projectile is going down while g(t) is increasing so the other projectile is going up.
All I know is it's not B.
Answers
The area of a rectangle is 65 m2 , and the length of the rectangle is 3 m less than twice the width. find the dimensions of the rectangle.
Answers
2x-3 = length
[tex]x(2x-3) = 65\\ 2x^2 - 3x - 65 = 0 \\ D=b^2-4ac=(-3)^2-4*2*(-65)=529\\ x_{1,2}= \frac{-bб \sqrt{D} }{2a}= \frac{3б 23}{4} \\ x_1=-5 \ \ \O \\ x_2=6.5 \ \ [/tex]
width = 6.5 m
length = 2x-3 = 2*6.5 - 3 = 10 m
The dimensions of the rectangle are 10 meters and 6.5 meters
Let the width of the rectangle be represented by w.
The length of the rectangle will then be:
= 2w - 3
Area of the rectangle = 65m²
Note that length × width = Area
Therefore, w × (2w - 3) = 65
2w² - 3w = 65
2w² - 3w - 65 = 0
2w² - 13w + 10w - 65 = 0
2w(w - 6.5) + 10(w - 6.5) = 0
Therefore, w - 6.5 = 0
w = 0 + 6.5
w = 6.5
Width = 6.5 meters
Length = 2w - 3
Length = 2(6.5) - 3
Length = 13 - 3
Length = 10 meters.
The dimensions of the rectangle is 10 meters and 6.5 meters
Read related link on:
https://brainly.com/question/8615095
10 POINTS PLEAAAAAASE HELP
Answers
In the diagram which angles are alternate interior angles with angle 14?
Answers
Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to the nearest tenth of a percent. Some of the answers will be used more than once and some may not be used.
10 30 40 50 60 70
10 30 40 60 60 80
20 30 50 60 70 90
20 30 50 60 70 90
Number Frequency Relative Frequency
10 %
20 %
30 %
40 %
50 %
60 %
70 %
80 %
90 %
Answers
10 2 2/24 = 8.3%
20 2 2/24 = 8.3%
30 4 4/24 = 16.7%
40 2 2/24 = 8.3%
50 3 3/24 = 12.5%
60 5 5/24 = 20.8%
70 3 3/24 = 12.5%
80 1 1/24 = 4.2%
90 2 2/24 = 8.3%
total : 24
Color of car. a. Qualitative/Ordinal b. Qualitative/Nominal c. Quantitative/Discrete d. Quantitative/Continuous
Answers
Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will be run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of that diagonal piece of pipe?
Answers
So, we will have to use the Pythagorean Theorem in order to find the length of the pipe that will be run along the diagonal of the lawn. So, this theorem states that,
[tex]a^2+b^2=c^2[/tex]
Let's plug in the values.
[tex]15^2+8^2=c^2[/tex]
Simplify.
[tex]289=c^2[/tex]
Let's take the square root.
[tex] \sqrt{289} = \sqrt{c^2} [/tex]
Simplify.
[tex]17 ft=c[/tex]
This tells us that the length of the diagonal piece of pipe will be 17 feet.
Thanks!
-TetraFish
What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units? square root of 8 units 4 units square root of 32 units 8 unit?
Answers
Answer:
Well if you still need the answer around 4 years later LOL its √32
Step-by-step explanation:
Answer:
√32
Step-by-step explanation:
Because this is totally helpful 4 years later
How do you subtract two negative numbers?
Answers
when you have 2 negative numbers you actually add the 2nd number to the first one
example:
-4 - -2 = becomes -4 + 2 = -2
Solve by factoring: 8p2 - 64p = 0
Answers
two adjacent sides of a rhombus are represented by 5x + 7 and 6x -1. find the value of x
Answers
The value of x in equation 5x + 7 = 6x -1 is 8.
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
We are given that;
5x + 7 and 6x -1
Now,
The equation is:
5x + 7 = 6x - 1
To solve for x, we need to isolate x on one side of the equation. We can do this by subtracting 5x from both sides and adding 1 to both sides. This gives us:
5x + 7 - 5x = 6x - 1 - 5x
7 + 1 = x - 1 + 1
8 = x
Therefore, by the given equations the answer will be x = 8.
Learn more about linear equations;
https://brainly.com/question/10413253
#SPJ2
Help a brother out here! Thank you!!!
Answers
7 blue cards
26 total cards
probability = 7/26
PLEASE HELP IM RUNNING OUT OF TIME!!!!!
Which of the following radical expressions has an absolute value symbol in its simplified form?
I hope i wrote these right
MY CHOICES ARE:
a. 16x^4−−−−√4
b. 81x−−−√4
c. −125x^3−−−−−−√3
d. 64x^3−−−−√3
Answers
(16x^4)^(1/4) = 2*abs(x)
$1,100 at 8%, for 15 years, compounded annually. Total Amount = $ Interest Amount = $
Answers
A=p (1+r)^t
A future value?
P present value 1100
R interest rate 0.08
T time 15 years
A=1,100×(1+0.08)^(15)
A=3,489.39
To find the interest amount the formula is
I=A-p
I=3,489.39−1,100
I=2,389.39
Final answer:
Compound interest plays a crucial role in determining the final amount of an investment over time, showcasing the power of compounding. In this scenario, with an initial amount of $1,000, an interest rate of 10.1%, and 47 years of compounding annually, the total interest earned would be $91,045.80.
Explanation:
Compound interest is calculated on the principal amount plus the interest earned over time. In this case, with an initial amount of $1,000, an interest rate of 10.1% compounded annually, and an end amount of $92,045.80 after 47 years, compound interest plays a significant role in determining the final amount.
To calculate the total interest earned over the 47 years, you subtract the initial principal amount of $1,000 from the end amount of $92,045.80. This gives you the total interest earned. In this scenario, the total interest earned would be $92,045.80 - $1,000 = $91,045.80.
Compound interest is crucial in understanding how investments grow over time, and it showcases the power of compounding when money is invested wisely and for a long period.
Can some PLEASE help me with 8 and 9!!????
Answers
Consider the equation 5/3v +4 +1/3v =8 What is the result of the equation after the first step in the solution
Answers
first step would be to simplify...
2v + 4 = 8 <==
round 0.9144 to the nearest tenth of a yard
Answers
hope this helps:)
Use the graph below to answer the question.
What is the slope of a line that is perpendicular to the line in the graph?
Answers
slope = 3/-3 = -1
slope of a line that is perpendicular to the line in the graph = 1
answer
1
Answer:
Im working on it right now and its 1
Step-by-step explanation:
Thompson Alberts purchased a pack of 12 pencils for $4.99. What is the unit price per pencil rounded to the nearest tenth of a cent?
Answers
divide total coast by number of pieces
4.99/12 = 0.415833
rounded to 0.42
42 cents each
$0.416
This is the correct answer for primavera
$4.99/12=0.4158 Rounded to the nearest tenth of a cent is $0.416
What is the rule for the sequence with the first four terms below? 0.5, 0.25, 0, –0.25
Answers
The rule for the given sequence (0.5, 0.25, 0, -0.25) is to subtract 0.25 from the previous term. Each consecutive term decreases by 0.25 to form the sequence.
The sequence given is 0.5, 0.25, 0, -0.25. To find the rule of this sequence, look at the differences between terms. Each term is subtracted by 0.25 to get to the next term.
Step-by-Step Explanation:
Start with the first term which is 0.5.Subtracting 0.25 from the first term gives the second term, 0.25.Continuing this pattern, subtracting 0.25 from the second term gives the third term, which is 0.Finally, subtracting 0.25 from the third term gives the fourth term, which is -0.25.Therefore, the rule for this sequence is subtracting 0.25 from the previous term to obtain the next term in the sequence.
A panel containing four on-off switches in a row is to be set. assuming no restrictions on individual switches, use the fundamental counting principle to find the total number of possible panel settings.
Answers
_ _ _ _, where you can put one of two marks (off or on) on any _.
So, the number of different ways will be 2 * 2 * 2 * 2 = 16
Answer: 16 possible settings.
Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When the number of hours (h) that Julie spends tutoring a student is greater than 7 (h > 7), the equation that gives the amount (A) that Julie earns in dollars is . If Julie earns $410 tutoring one student, the total number of hours she spent tutoring the student is .
Answers
if she earns 410 tutoring...
410 = 210 + 20(h - 7)
410 = 210 + 20h - 140
410 = 20h + 70
410 - 70 = 20h
340 = 20h
340/20 = h
17 = h <=== she spent 17 hrs tutoring
Answer:
box 1- A=210+20(h-7) box 2- 17
Step-by-step explanation:
I got it right on plato, watch out for positive and negative answers i almost got it wrong
Assume that y varies inversely with x. If y=7 when x=2/3, find y when x=7/3
Answers
We first find the value of k
When y = 7 and x = 2/3, then
[tex]y= \frac{k}{x} [/tex]
[tex]7= \frac{k}{ \frac{2}{3} } [/tex]
[tex]7( \frac{2}{3})=k [/tex]
[tex]k= \frac{14}{3} [/tex]
Now we have k = 14/3, we can work out y when x = 7/3
[tex]y= \frac{k}{x} [/tex]
[tex]y= \frac{14/3}{7/3} [/tex]
[tex]y= \frac{14}{7} [/tex]
[tex]y=2[/tex]
Say you want to buy x shirts which cost 2$ each and add tax which is $0.75. You have 13$ to make your purchase.
Answers
2x + 0.75 = 13
Add like terms
2x= 13-0.75
2x= 12.25
x= 12.25/2
x=6.125
You can buy 6 whole shirts with $0.25 left over
Hope this helps! A thanks/brainliest answer would be appreciated :)
A bat flies at an average speed of 32 kilometres an hour. At this speed, how far will it fly in 15 minutes?
Answers
Final answer:
To find out the distance a bat will fly in 15 minutes at an average speed of 32 kilometers per hour, you multiply the speed by the time in hours (15 minutes is 0.25 hours). The bat will fly 8 kilometers.
Explanation:
To calculate how far a bat flies in 15 minutes at an average speed of 32 kilometers per hour, we need to convert the time into hours since the speed is given in kilometers per hour (km/h). 15 minutes is equal to 0.25 hours (since there are 60 minutes in 1 hour, so 15 minutes divided by 60 minutes per hour equals 0.25 hours).
We can then use the formula for distance which is:
Distance = Speed × Time
The average speed of the bat is 32 km/h, and the time is 0.25 hours.
Distance = 32 km/h × 0.25 h = 8 km
So, the bat will fly 8 kilometers in 15 minutes.
What is the volume of the sphere? Round the answer to the nearest cubic unit. Diameter: 22 cm
1) 507 cm^3
2) 1,394 cm^3
3) 5,575 cm^3
4) 16,725 cm^3
Answers
4/3pi11^3 and approximately simplify you will get 5,575 cm^3.
The volume of the Sphere is 5,575 cm^3.
What is the volume of the Sphere ?
The volume of the Sphere is the capacity it has. It is the space occupied by the sphere.
Formula used to find volume of the Sphere is :
V = 4/3 × π × r^3
Given : diameter = 22 cm
r = diameter/2
r = 11 cm
So ,
V = 4/3 × π × 11 ^3
⇒ 4/3 × π × 1331
⇒ 1.34 × 4179.34
V = 5575.28 cm^3
The nearest cubic unit is 5,575 cm^3.
Hence , the volume of the Sphere is 5,575 cm^3 .
Learn more about the volume of the Sphere here :
brainly.com/question/21623450?
#tag #SPJ2
Suzie drew the line of best fit on the scatter plot shown. A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 3 and 1, 3 and 2, 4 and 3, 7 and 4, 6 and 5, 8 and 6, 10 and 7, 10 and 8, 12 and 9, 14 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 3 and 10, 15. What is the approximate equation of this line of best fit in slope-intercept form?
Answers
Answer:
y = 1.2 x + 3
Step-by-step explanation:
Hope this helps
Quadrilateral ABCD is similiar to quadrilateral EFGH The lengths of the three longest sides in quadrilateral ABCD are 24 feet, 16 feet, and 12 feet long. If the two shortest sides of quadrilateral EFGH are 9 feet long and 18 feet long, how long is the 2nd longest side on quadrilateral EFGH
?
Answers
They are similar, so the sides of one of them and the other one are in proportion.
We have to find the proportion. Notice that the 12 feet side and the 18 feet side must be the one in common. 3 longest ones ... one is missing, then, two shortest ones ... two are missing, but they must share that one:
The ratio is the 18:12 or 3:2.
Now we can complete both quadrilaterals:
ABCD: 24, 16, 12, ?
EFGH: ?, ?, 18, 9
ABCD: 24, 16, 12, 6
EFGH: 36, 24, 18, 9
24 is the answer!!
Answer:
A.) 24 feet
Step-by-step explanation:
I got it correct on founders edtell!