Question

Can someone please explain how to get the answer?

Answer 1

The small triangle is 1/2 the size of the larger one ( comparing like sides 5 is 1/2 of 10).

This means AC is 1/2LN.

So you have:

x +5 = 1/2(3x +3)

Simplify:

x+5 = 1.5x +1.5

Subtract 1.5x from each side:

-.5x +5 = 1.5

Subtract 5 from each side:

-.5x = -3.5

Divide both sides by -.5:

x = -3.5 / -.5

x = 7

Now you have x.

AC = x +5 = 7+5 = 12

The answer is G.