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Gala2k [10]
3 years ago
14

Can anyone help me with this question please

Mathematics
1 answer:
klemol [59]3 years ago
8 0

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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Given number of coins Andy has is 102 and montary value of all coins is $17.10.

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Suppose the number of dimes be x and number of quarters be y.

The equations are:

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from equation 2, y=102-x

Put the value of y=102-x in equation 1

0.10x+0.25(102-x)=17.10

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y=102-56

y=46

Hence Andy has 56 number of dimes and 46 quarters.

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