Question

Help I’ll give you 30 points

Answer 1

Answer:

QR = 6.8

XZ = 16.25

Step-by-step explanation:

We can use ratios to solve since the triangles are similar

7.2         QR

------- = ------------

18           17

Using cross products

7.2 *17 = QR*18

Divide by 18

7.2 *17/18 = QR*18/18

QR = 6.8

7.2          6.5

------- = ------------

18           XZ

Using cross products

7.2 XZ = 6.5*18

Divide by 7.2

7.2 XZ = 6.5*18/7.2

XZ = 16.25

Answer 2

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

7.2/18=x/17

Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!