Question

PLEASE HELP!!!!! What is ​ BC ​? Enter your answer in the box. units

Answer 1

We are given an isosceles triangle ABC. Where AB = AC.

AB = 8x -4

AC = 5x +11.

BC = 4x -2

We need to find the length of BC.

We have AB = AC.

Therefore,

8x -4  = 5x +11.

Let us solve it for x now.

Adding 4 on both sides, we get

8x -4+4  = 5x +11+4.

8x = 5x +15.

Subtracting 5x from both sides, we get

8x -5x = 5x-5x +15

3x = 15.

Dividing both sides by 3, we get

3x/3 = 15/3

x = 5.

Plugging x=5 in BC = 4x -2 .

BC = 4(5) -2 = 20-2 =18.

Therefore, length of BC is 18 units.

Answer 2

$8x - 4 = 5x + 11 \\ 3x = 15 \\ x = 5$

Substitute that into 4x - 2,
$4(5) - 2 \\ = 20 - 2 \\ = 18$

Answer : BC = 18

Hope this helps. - M