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

Answer:

• b. 28 1/3

Step-by-step 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

Answer 2

Answer:

b

Step-by-step explanation:

$\frac{x}{17} = \frac{20}{12} \\\\\frac{x}{17} = \frac{5}{3} \\x = \frac{85}{3} \\x = 28 . \frac{1}{3}$