Question

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

Answer 1

Answer:

Step-by-step 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

Answer 2

$\frac{z}{22}$Answer:

y = 18      x = 16.5     z = 16.5

Step-by-step explanation:

$\frac{y}{24}$ = $\frac{x}{22}$ = $\frac{z}{22}$= $\frac{9}{12}$ = $\frac{3}{4}$

So,  $\frac{y}{24}$ = $\frac{3}{4}$               $\frac{x}{22}$ = $\frac{3}{4}$               $\frac{z}{22}$ = $\frac{3}{4}$

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

        y = 18               x = 16.5           z = 16.5