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tangare [24]
3 years ago
7

Identify the postulate or theorem that proves p∥q. Please help!! Given: ∠4≅∠6

Mathematics
1 answer:
Brilliant_brown [7]3 years ago
8 0

<4 = <6

alternate interior angles theorem

Answer is the third option

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Find the length of a rectangle given that the perimeter is 180 feet and the length is 5 times the width.
Tatiana [17]

Answer:

Hi there!

Your answer is:

The length is 75

Step-by-step explanation:

P=180

L=5w

Perimeter formula

L+L+W+W=P

Plug in known values

5W+5W+W+W=180

12W=180

/12

W=15

Plug in width in length formula!

L=5W

L=5(15)

L=75

4 0
4 years ago
A spotlight is mounted on a wall 7.4 feet above a security desk in an office building. It is used to light an entrance door 9.3
yan [13]
Here we have a 90 degrees triangle where we can use trigonometric functions. 

Here we can use tan(x) function because it requires legs of triangle that are given and inverse function of tan(x) will than give us asked angle 

tan(x) = 7.4/9.3 = 0.7956
x = arctan(0.7956) = 38.505 ≈ 39 degrees.
7 0
3 years ago
A pound of chocolate costs 8 dollars. Kala buys p pounds. Write an equation to represent the total cost c that Kala pays.
ASHA 777 [7]

Answer:

8p=c

Step-by-step explanation:

For questions like this, it isn't asking for a numerical answer or anything complicated. It's mainly just using common sense and figuring out what you would do if you had actual numbers instead of variables. You would multiply the amount of pounds (p) by the cost per pound of $8, and that would be your answer (c). I hope I could help.

7 0
3 years ago
A conical tent has a radius of 4.8 ft and a height of 4.8 ft. Doubling which dimension(s) will quadruple the volume of the tent?
Volgvan

Answer:

double the radius.

Step-by-step explanation:

Quadruple means 4 times. So you want to make the volume 4 times larger than it currently is.

This can be a little nasty because both numbers are the same.

V = 1/3 pi * r^2 * h

V = 1/3 3.14 * 4.8^2 * 4.8

V = 115.75296

Now if you double the radius, the volume becomes 4 times larger (or it should)

V= 1/3 * 3.14 * (9.6)^2 * 4.8

V = 463.012

Did that make the original volume larger?

115.75296 * 4 = 463.012 rounded.

4 0
2 years ago
What is the value that makes the equation true?
Ksivusya [100]
3(3x - 5) + 6 = 12 - 2(x+5)
9x - 15 + 6 = 12 - 2x - 10
9x - 9 = 2 - 2x
9x + 2x = 2 + 9
11x = 11
x = 1
5 0
4 years ago
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