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Len [333]
2 years ago
15

Trevon is helping his sister study for her geometry test while staying at a hotel.

Mathematics
1 answer:
Serhud [2]2 years ago
5 0

Option (C) -: The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.

<h3>What is parallel and perpendicular ?</h3>

In geometry two lines are parallel to each other when they have no intersecting point and the distance between them is constant.

Two lines are perpendicular if they have an intersecting point and they intersect each other at at 90°.

From the given figure we can observe the distance between the floor ceiling of 3rd and 6th floor is constant therefore they are parallel to each other.Now if we imagine the elevator going up and down an imaginary line (meeting line of two elevator doors) would intersect them at an angle of 90°.

∴The hotel floors are parallel to each other, and the elevator moves in a path that is perpendicular to them both.

Learn more about parallel and perpendicular here :

brainly.com/question/16853486

#SPJ1

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A rectangular prism has a length of 9 inches and a width of 8 inches. The lateral area is 170 square inches. What is the height
evablogger [386]

Answer:

The height of the prism is 5 inches

Step-by-step explanation:

The rule of the lateral area of the rectangular prism is

L.A = 2(L + W) × H, where

  • L is the length of the base of the prism
  • W is the width of the base of the prism
  • H is the height of the prism

∵ A rectangular prism has a length of 9 inches and a width of 8 inches

∴ L = 9 inches

∴ W = 8 inches

∵ The lateral area of it is 170 square inches

∴ L.A = 170 square inches

→ Substitute them in the rule above to find the height of the prism

∵ 170 = 2(9 + 8) × H

∴ 170 = 2(17) × 5

∴ 170 = 34 × H

→ Divide both sides by 34 to find H

∴ 5 = H

∴ The height of the prism is 5 inches.

3 0
3 years ago
Three times a number is 201 what is the number?
lana [24]
Your equation is 3n = 201.

You have to isolate n so divide 3 to 201.

201/3 = 67.
4 0
3 years ago
Read 2 more answers
Which point represents the number 2 ?
lana [24]

Answer:

uh... you forgot to add the image...

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8 0
3 years ago
How many rays intersect at point O <br> 1. 5 <br> 2. 4 <br> 3. 6 <br> 4. 3
Vilka [71]

Answer:

3 is correct ans

ray on point o

is 3

option 4 3 is correct

line intersecting on same point on o

5 0
2 years ago
The sum of three numbers is 98 . The first number is 7 less than the second. The third number is 3 times the second. What are th
loris [4]

Answer:

14, 21, and 63

Step-by-step explanation:

we can set the three unknown numbers as x, y, and z

so

x + y + z =98

now we are given that the first (x)  is seven less than the second (y)

x = y - 7

the third number (z) is three times the second (y)

z = 3y

since we have an equation for z and x in terms of y, we can plug it into the first equation and solve for y.

(y-7) + y + (3y) =98

y - 7 + y + 3y =98

y + y + 3y =105

5y = 105

y=21

now that we know y, we can plug its value into either the second or the third equation to find x or z (I chose to find z first)

z = 3y

z = 3(21)

z = 63

now we can plug in y to find x

x = y - 7

x = 21 - 7

x = 14

so the three numbers should be 14, 21, and 63

7 0
4 years ago
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