Question

The figures below are similar. Find the length of x, y, and z. Type an integer or a decimal.

Answer 1

`(z)/(22)`Answer:

y = 18 x = 16.5 z = 16.5

Explanation:

`(y)/(24)` =
`(x)/(22)` =
`(z)/(22)`=
`(9)/(12)` =
`(3)/(4)`

So,
`(y)/(24)` =
`(3)/(4)`
`(x)/(22)` =
`(3)/(4)`
`(z)/(22)` =
`(3)/(4)`

4y = 72 4x = 66 4z = 66

y = 18 x = 16.5 z = 16.5

Answer 2

Explanation:

The ratio that will determine the size of x, y, z is 9 / 12 That comes about because 9 value is parallel to the 12 value when both are extended in either direction

x

9/12 = x / 22 Cross multiply

12x = 9 * 22

12x = 198 Divide by 12 on both sides

x = 198/12

x = 16.5

y

y and 24 are related because they are parallel

9/12 = y/24 Cross multiply

12y = 9 * 24

12y = 216

y = 216 / 12

y = 18

z

See the solution for x. z = x