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In the diagram shown overline AD and intersect at point E. overline AB and overline CD are parallel . Given the segment length shown in the picture, which of the following is the length overline AE

1) 11.25
2) 10.8
3) 10
4) 7.5

In The Diagram Shown Overline AD And Intersect At Point E Overline AB And Overline CD Are Parallel Given The Segment Length Shown In The Picture Which Of The Fo class=

Answer :

Answer:

11.25

Step-by-step explanation:

Since AB and CD  are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B.  Therefore the two triangles are similar by the AA postulate.  Now, the corresponding sides are in proportion

Since AE ↔ DE and AB ↔ CD

So, AE/CD = AB/CD

AE/5 = 9/4

AE = 9(5)/4

     = 45/4  = 11.25

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