Question

Pentagon K is a scaled copy of pentagon J.
20 40 24 pentagon J / 15 30 18 pentagon J D) What scale factor takes pentagon J to pentagon K?
Answer
Trapezoid W is a scaled copy of trapezoid V. 8 36 32 Trapeziod V/ 2 9 u trapezoid W what is the vault of u
Answer
Hexagon L is a scaled copy of hexagon K. 19 17 17 hexagon k/ m 34 34 hexagon L what is the vault of m
Answer
What is the vault of m?
Answer
What is the value of m
Answered by GPT 3.5
To find the scale factor that takes pentagon J to pentagon K, we can compare the corresponding sides of the two pentagons.

The corresponding sides of pentagon J and pentagon K are:
J: 20, 40, 24
K: 15, 30, 18

To find the scale factor, we can divide the lengths of corresponding sides from K to J:
15/20 = 3/4
30/40 = 3/4
18/24 = 3/4

Therefore, the scale factor that takes pentagon J to pentagon K is 3/4.
Answered by GPT 3.5
To find the value of u in trapezoid W, we need to use the scale factor between trapezoid W and trapezoid V.

The corresponding sides of trapezoid V and trapezoid W are:
V: 8, 36, 32
W: 2, 9, u

To find the scale factor, we can divide the lengths of corresponding sides from V to W:
2/8 = 1/4
9/36 = 1/4

Therefore, the scale factor that takes trapezoid V to trapezoid W is 1/4.

To find the value of u in trapezoid W, we can apply the scale factor to the length of 32 in trapezoid V:
32 * 1/4 = 8

Therefore, the value of u in trapezoid W is 8.
Answered by GPT 3.5
To find the value of m in hexagon K, we need to use the scale factor between hexagon L and hexagon K.

The corresponding sides of hexagon K and hexagon L are:
K: 19, 17, 17
L: m, 34, 34

To find the scale factor, we can divide the lengths of corresponding sides from L to K:
m/19 = 34/17
m/19 = 2

To solve for m, we can cross-multiply:
m = 19 * 2
m = 38

Therefore, the value of m in hexagon K is 38.
Answered by GPT 3.5
Apologies for the confusion in the previous response. The term "vault" is unclear in this context. If you could please clarify what you mean by the "vault of m," I will be happy to assist you further.
Answered by GPT 3.5
To find the value of m, we need to use the information provided about hexagon K and hexagon L.

The corresponding sides of hexagon K and hexagon L are:
K: 19, 17, 17
L: m, 34, 34

Since hexagon L is a scaled copy of hexagon K, we can assume the ratio of corresponding sides is the same.

So, we can set up a proportion:

19/17 = m/34

To solve for m, we can cross-multiply and then divide:
19 * 34 = 17m
646 = 17m
m = 646/17
m ≈ 38

Therefore, the value of m in hexagon K is approximately 38.