Question

In blank one give the value of X
In blank two give the length of side BC (just the number)

Answer 1

x = 9 , BC = 25

Explanation:

From Δ ABC

the base angles C and B are congruent (equal), indicated by the arcs , then

Δ ABC is isosceles with the legs ACand AB congruent, hence

AC = AB ( substitute values )

6x - 14 = 4x + 4 ( subtract 4x from both sides )

2x - 14 = 4 ( add 14 to both sides )

2x = 18 ( divide both sides by 2 )

x = 9

Then

BC = 2x + 7 = 2(9) + 7 = 18 + 7 = 25