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Vesna [10]
3 years ago
14

10) Isosceles trapezoid ABCD has legs AB and CD and base BC. If AB = =

Mathematics
1 answer:
Tju [1.3M]3 years ago
5 0

Answer:

y=14

Step-by-step explanation:

We are told that the legs of the isosceles trapezoid are AB and CD

AB = 7y - 4

CD = 8y - 18

In any isosceles trapezoid, the two legs are of equal length.

Therefore, AB = CD

⇒ 7y - 4 = 8y - 18

Add 18 to both sides of the equation

7y - 4 + 18 = 8y - 18 + 18

7y + 14 = 8y

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Suppose a circle has a radius of 13 inches. How far would a 24 inch chord be from the center of the circle? (Hint: Draw a diagra
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Answer:

Step-by-step explanation:

Directions

  • Draw a circle
  • Dear a chord with a length of 24 inside the circle. You just have to label it as 24
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  • Draw a radius that is from the center of the circle to one end of the chord.
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Givens

AC = 13 inches                   Given

CB = 24 inches                  Given

CE = 12 inches                    Construction and property of a midpoint.

So what we have now is a right triangle (ACE) with the right angle at E.

What we seek is AE

Formula

AC^2 = CE^2 + AE^2

13^2 = 12^2 + AE^2

169 = 144 + AE^2                     Subtract 144 from both sides.

169 - 144 = 144-144 + AE^2     Combine

25 = AE^2                                Take the square root of both sides

√25 = √AE^2

5 = AE

Answer

The 24 inch chord is 5 inches from the center of the circle.

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