contestada

What is the value of x?


PLEASE HELP!!!!!! Will be willing to give 100 POINTS AND Mark Brainlest for the correct answer and explanation!
Enter your answer in the box.

x =

Equiangular triangle A B C. Angles A, B, and C are marked congruent. The length of side A C is labeled as 3 x plus 6. The length of side A B is labeled as 6 x minus 3. The length of side B C is labeled as 5 x.

Respuesta :

elisabethannelinda

Answer:

x = 3

Step-by-step explanation:

So, you know that the sides are congruent.

AC: 3x + 6

AB: 6x - 3

BC: 5x

So, here is the equation you can set up:

3x + 6 = 6x -3 = 5x

You can't really solve an equation with 3 equal signs, so break it up:

3x + 6 = 6x - 3

     +3          +3

3x + 9 = 6x

-3x         -3x

9 = 3x

/3     /3

3 = x

Now see if it works:

3x + 6 = 6x -3 = 5x

plug in x (or 3)

3(3) + 6 = 6(3) -3 = 5 (3)

9 + 6 = 18 - 3 = 15

15 = 15 = 15

So, yes!

x = 3