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Quadrilateral ABCD is a kite. If Line AD is congruent to line AB, solve for x.

Quadrilateral ABCD is a kite. If Line AD is congruent to line AB, solve for x.-example-1
User Mudshark
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2 Answers

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ABCD is a kite ⇒ BC = CD ⇒ 3x - 4 = 2x + 3 ⇒ 3x - 2x = 3 + 4 ⇒

⇒ x = 7.


User Slurms
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5 votes
Answer:
x = 7

Step-by-step explanation:
We are given that the quadrilateral is a kite, this means that:
AB = AD
CB = CD
We are also given that:
CB = 3x - 4
CD = 2x + 3
Since both sides are equal, therefore, we will equate the two equations and solve for x as follows:
3x - 4 = 2x + 3
3x - 2x = 3 + 4
x = 7

Hope this helps :)
User Arun Sudhakaran
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6.5k points