Question

Given FB || EC, find BC question number 1 and PLEASE HELP with question number solve for x

Answer 1

BC = 6

Explanation:

F B is parallel with E C. As a result,

• A F / A E = A B / A C

The question asks for the length of B C. To find B C, start by finding A C.

A F = 6, F E = 4, A B = 9. Therefore

• A E = A F + F E = 6 + 4 = 10
• A B / A C = A F / A E = 6 / 10 = 3 / 5

• A C = A B ÷ ( 3 / 5 ) = A B × ( 5 / 3 ) = 9 × 5 / 3 = 45 / 3 = 15

B C = A C - A B.

A C = 15 and it is given that A B = 9. Hence B C = 15 - 9 = 6.