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Liula [17]
4 years ago
6

What is AE ? Enter your answer in the box Units

Mathematics
2 answers:
Ad libitum [116K]4 years ago
7 0
(2x+10)/10 = (x+3)/4
10(x+3) = 4(2x+10)
10x + 30 = 8x + 40
2x = 10
x = 5

so
AE = 2(5) +10
AE = 10 + 10
AE = 20
Oliga [24]4 years ago
3 0

Answer:

AE=20\ units

Step-by-step explanation:

we know that

If AB is parallel to CD

then

triangles ABE and EDC are similar

Remember that

If two triangles are similar

then

the ratio of their corresponding sides is equal and their corresponding angles are equal too

In this problem

\frac{AE}{ED}=\frac{AB}{CD}

substitute the values and solve for x

\frac{2x+10}{x+3}=\frac{10}{4}

4(2x+10)=10(x+3)\\8x+40=10x+30\\10x-8x=40-30\\2x=10\\x=5\ units

Find the length of AE

AE=2x+10 -----> substitute the value of x

AE=2(5)+10=20\ units

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