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katovenus [111]
2 years ago
14

8. Solve for x. 28° X

Mathematics
1 answer:
Lerok [7]2 years ago
8 0

Answer:

if X is the angle degree like I think it is, then X = 56 degrees

Step-by-step explanation:

isosceles triangles will have 2 equal base angles.

90 degree angle - 28 = 62°

62 is now each base angle.

62 times 2 angles equals 124

the final angle, x, is 180 - 124 = 56°

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If B is the midpoint of AC, then AB = BC.

We have AB = x + 5 and BC = 2x - 11.

Therefore we have the equation:

x + 5 = 2x - 11       <em>subtract 5 from both sides</em>

x = 2x - 16       <em>subtract 2x from both sides</em>

-x = -16      <em>change the signs</em>

x = 16

Put the value of x to the expression x + 5:

AB = 16 + 5 = 21

<h3>Answer: AB = 21</h3>
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