anabelle99orkf3o anabelle99orkf3o
  • 03-02-2018
  • Mathematics
contestada

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 class=

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abscisa15
abscisa15 abscisa15
  • 03-02-2018

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

⇒ x = 7.


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Louli
Louli Louli
  • 03-02-2018
Answer:
x = 7

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 :)
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