Answer:
The measure of QR is 16.
Step-by-step explanation:
To find the measure of QR, we can use the concept of similar triangles since ABC is equal to QRS.
The ratio of corresponding sides in similar triangles is equal. So, we can set up the proportion:
AB / QS = AC / QR
Substituting the given values:
25 / 10 = 40 / QR
Now, we can cross multiply:
25 * QR = 10 * 40
QR = (10 * 40) / 25
QR = 400 / 25
QR = 16
So, the measure of QR is 16.