Question

∆AXY ∼ ∆ABC. What is the value of x? Any help? Select one: a. 10 1/5 b. 28 1/3 c. 11 1/3 d. 19

Answer 1

b

Explanation:

`(x)/(17) = (20)/(12) \\\\(x)/(17) = (5)/(3) \\x = (85)/(3) \\x = 28 . (1)/(3)`

Answer 2

• b. 28 1/3

Explanation:

Given

Similar triangles ∆AXY and ∆ABC.

We know corresponding sides of similar triangles have equal ratio.

This can be applied here as:

• BC/XY = AC/AY

Substitute the values and solve for x:

• x/17 = (15 + 10)/15
• x/17 = 25/15
• x = 17*5/3
• x = 85/3
• x = 28 1/3

The matching answer choice is B