Question

Hi Guys! if anyone can help me with this please do! I need to solve for X and the triangles in each pair are similar.

Answer 1

x=6

Explanation:

We can use ratios to solve

18 4x+6

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

24 40

Using cross products to solve

18*40 = 24 * (4x+6)

720 = 24*(4x+6)

Divide each side by 24

720/24 = 24/24 (4x+6)

30 = 4x+6

Subtract 6 from each side

30-6 = 4x+6-6

24 = 4x

Divide each side by 4

24/4 = 4x/4

6 = x