Question

Help please I’m stuck

Answer 1

Answer:

10.5

Step-by-step explanation:

ΔXYZ is similar to ΔABC.  So the corresponding sides are proportional:

XY / AB = XZ / AC = YZ / BC

We want to find length AB, so we can either use the first proportion:

7 / k = 3 / 4.5

Or we can use the second proportion:

7 / k = 6 / 9

Either way, we'll get the same answer.  I'll use the second proportion.  Cross multiplying:

6k = 63

Dividing:

k = 10.5