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3 years ago

What is AE? Enter your answer in the box. units

Mathematics

1 answer:

svp [43]3 years ago

8 0

Answer:

AE = 18

Step-by-step explanation:

The triangles must be similar so we can use ratios

2x+4 12

-------- = ---------

x+8 10

Using cross products

(2x+4)10 = 12 (x+8)

20x +40 = 12x+96

Subtract 12x from each side

20x-12x +40 = 12x-12x +96

8x +40 = 96

Subtract 40 from each side

8x = 96-40

8x = 56

Divide by 8

x = 56/8

x = 7

AE = 2x+4 = 2(7) +4 = 14+4 = 18

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