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Sergio [31]
3 years ago
6

Need help wit this- pic below

Mathematics
1 answer:
Ann [662]3 years ago
3 0

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

We can find x using either the measure of angle B, or the measure of angle A.

Using A, we have ...

  48 = x^2 -8x

Adding 16 completes the square:

  64 = x^2 -8x +16 = (x -4)^2

Then the positive solution is ...

  √64 = x -4

  x = 4 +8 = 12

The triangles are similar when x=12.

__

<em>Check</em>

We expect angle B to be 84° when x=12:

  (x^2 -5x) = x(x -5) = 12(7) = 84 . . . . as needed

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Can anyone help me with this question please
klemol [59]

Answer:

  7.  ∠CBD = 100°

  8.  ∠CBD = ∠BCE = 100°; ∠CED = ∠BDE = 80°

Step-by-step explanation:

7. We presume the angles at A are congruent, so that each is 180°/9 = 20°.

Then the congruent base angles of isosceles triangle ABC will be ...

  ∠B = ∠C = (180° -20°)/2 = 80°

The angle of interest, ∠CBD is the supplement of ∠ABC, so is ...

  ∠CBD = 180° -80°

  ∠CBD = 100°

__

8. In the isosceles trapezoid, base angles are congruent, and angles on the same end are supplementary:

  ∠CBD = ∠BCE = 100°

  ∠CED = ∠BDE = 80°

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I used math

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