Question

Segments BC and DE are parallel. Find x
A. 5
B. 4
C. 6
D. 7

Answer 1

It’s C!!! Hope that helped

Answer 2

C. 6

Explanation:

∆ABC and ∆ADE are similar triangles.

AB/AC = AD/AE

(x - 1 + x + 2)/(15 + 24) = (x - 1)/15

(2x + 1)/39 = (x - 1)/15 Multiply each side by 39

2x + 1 = 39(x - 1)/15 Multiply each side by 15

15(2x + 1) = 39(x - 1) Distribute 15 and 39

30x + 15 = 39x - 39 Add 39 to each side

30x + 54 = 39x Subtract 30x from each side

54 = 9x Divide each side by 9

x = 6

Check:

(6 - 1 + 6 + 2)/(15 + 24) = (6 - 1)/15

13/39 = 5/15

⅓ = ⅓