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22 votes
22 votes
Figure ABCD below is an isosceles trapezoid with AD = 5a - 3 and BC = 3a + 7 What is the length of segment AD?

User Toby Jackson
by
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1 Answer

16 votes
16 votes

From the diagram, we can see that;

5 a - 3 = 3 a + 7

collectinf like terms,

5 a - 3 a = 7 + 3

2 a = 10

Divide both sides by 2 . we have:

a = 10/ 2

a = 5

For length AD, 5 a - 3 = 5 ( 5 ) - 3 = 25 - 3 = 22

User Andrew Rollings
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2.9k points