Question

BRAINLIEST ASAP! PLEASE HELP ME :) thanks!

Answer 1

Since BD is the median, it divides the line segment AC equally.

So, AD = CD (AD = 6x + 10 and CD = 2x + 12)

Solve for x.

6x + 10 = 2x + 12

~Subtract 10 to both sides

6x + 10 - 10 = 2x + 12 - 10

~Simplify

6x = 2x + 2

~Subtract 2x to both sides

6x - 2x = 2x - 2x + 2

~Simplify

4x = 2

~Divide 4 to both sides

4x/4 = 2/4

~Simplify

x = 2/4

~Simplify

x = 1/2

Solve for AC.

6x + 10 + 2x + 12 = AC

~Substitute

6(1/2) + 10 + 2(1/2) + 12 = AC

~Simplify

3 + 10 + 1 + 12 = AC

~Simplify

26 = AC

Therefore, the answer is [ AC = 26 ]

Best of Luck!

Answer 2

Answer:

Step-by-step explanation:

AD = CD    { BD is median}

6x + 10 = 2x + 12

6x -2x = 12 - 10

4x = 2

x = 2/4

x = 1/2

AC= AD + CD

     = 6x + 10 + 2x +10     {add the like terms}

      = 8x + 20     { Now plugin the value of x}

  $=8*\frac{1}{2}+22$

  = 4 + 22

  = 26