Respuesta :

Answer:

16

Step-by-step explanation:

AC= 15x+2

BD= 9x+14

AE= 1/2AC

AC=BD

1) First we must find what x is. Because AC and BD are the same length, we can set them equal to each other to find x.

15x+2=9x+14

6x=12

x=2

2) Now that we know x, we plug the value for x back into the equation for AC.

AC=15x+2

AC=15(2)+2

AC=30 +2

AC= 32

3) Finally, we can find AE because it is half of AC.

AE=1/2AC

AE=1/2(32)

AE=16

hope this helps!! :)

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