Question

1. mnpq is similar to rstu. what are the values of x, y, and z? x = y = z =

Explanation:

Step1: Determine scale factor

Corresponding sides MN=18 (MNPQ) and RS=30 (RSTU). Scale factor (MNPQ to RSTU) = 18/30 = 3/5.

Step2: Find x (NP)

NP corresponds to ST=25. x/25 = 3/5 → x=25×3/5=15.

Step3: Find y (UT)

QP=15 (MNPQ) corresponds to UT=y (RSTU). 15/y=3/5 → y=15×5/3=25.

Step4: Find z (angle at M)

Corresponding angles equal. Angle at M (z) corresponds to angle at R=115° → z=115.

Answer:

x=15, y=25, z=115