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Zanzabum
3 years ago
6

An isosceles trapezoid is a quadrilateral with two congruent legs and a pair of parallel bases. Prove the base angles of an isos

celes trapezoid are congruent. Be sure to create and name the appropriate geometric figures.
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
5 0
BE is congruent to overline CF since they are altitudes of the same trapezoid(S). AB is congruent to overline CD (Given) AE is congruent to overline FD by the Hypotenuse Leg Theorem. triangle ABC is congruent to triangle DCF (SSS Triangle Congruence) angle A is congruent to angle D since corresponding parts of congruent triangles are congruent.
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Bob's mom is 3 times older than Bob. In 12 years, Bob's mom's age will be twice of
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I would use a chart to solve this problem.

This is a good wya to organize your information.

Down the left side, list the people involved.

I put Bob first and the mom second but the order doesn't matter.

Since Bob's mom is 3 times older than Bob, we can represent

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Bob's age in 12 years will be x + 12 and Bob's mom's

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Since the second sentence starts with in 12 years,

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In 12 years, Bob's mom's age, 3x + 12, will be,

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Solving from here, we find that x = 12.

This means that Bob's age now is 12 and his mom is 36.

The chart is attached below.

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