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Shkiper50 [21]
3 years ago
7

BRAINLIEST ASAP! PLEASE HELP ME :) thanks!

Mathematics
2 answers:
Lilit [14]3 years ago
8 0

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!

andre [41]3 years ago
5 0

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

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3 0
10 months ago
Can you please help me thanks
mash [69]

Answer:

x = 9.6

Step-by-step explanation:

Before we can figure out what x is, we need to figure out what the unlabeled side is. To figure that out, multiply the hypotenuse (12) by the sine of the angle labeled (34)

12 * sin(34)

<em>sin(34) equals 0.559192903470747; I'll round it to 0.6 for convenience.</em>

12 * 0.6

<em>Now simply multiply 12 by 0.6 to get 7.2.</em>

The unlabeled side is approx. 7.2 units long.

Now we know what the unlabeled side is. Now, to find x, find the square root of 12 squared minus 7.2 squared.

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2 years ago
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