GEOMETRY PLS HELP!! AB=2x+2 and AC=4x-14

Question

asked Apr 17, 2023 50.1k views

2 Answers

Sam Schutte · Answer 1 · 2023-04-23T19:10:49+0000

Answer:

x = 8

AB = 18

Explanation:

Equilateral triangle:

In an equilateral triangle, all three sides are equal, all three angles are equal, and each angle is 60°.

AC = AB

4x - 14 = 2x + 2

Add 14 to both sides

4x - 14 +14 = 2x + 2 + 14

4x = 2x + 16

Subtract '2x' from both sides,

4x - 2x = 2x - 2x + 16

2x = 16

Divide both sides by 2

$\sf (2x)/(2)=(16)/(2)$

$\sf \boxed{\bf x = 8}$

AB = 2x + 2

= 2*8 + 2

= 16 + 2

AB = 18