Answer:
scale factor = 1.5
X = 7.5
Y = 4
Z = 8
Step-by-step explanation
1. You can find the scale factor by dividing
9/6, which is 1.5. I divided 9 and 6 because they are congruent.
2. You can find x by using the proportion 9/6 = x/5, or 3/2 = x/5 which lets you work with smaller numbers. I’ll use the second proportion. Cross multiplying would give you 2x =15. To get the variable by itself divide both sides by 2, which leaves you with x = 7.5.
3. Use the proportion 3/2 = 6/y to solve for y. Cross multiplying would give you 12 = 3y. Divide both sides by 3 to get the variable by itself leaving you y = 4.
4. Use the proportion 3/2 = 12/z to solve for z. Cross multiplying would give you 24 = 3z. Divide both sides by 3 to get the variable by itself leaving z = 8.