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2 years ago

3. Given the following similar triangles. Find the values of variables and label all the unknown angles

Mathematics

1 answer:

astraxan [27]2 years ago

8 0

Answer:

The answer to your question is x = 6 and y = 9

Step-by-step explanation:

Data

AB = x DF = 18

BC = 5 FE = 15

AC = 3 DE = y

Process

1.- Find y

Use proportions to find it

DE/FE = AC/BC

Substitution

y/15 = 3/5

Solve for y

y = 15(3/5)

y = 45/5

y = 9

2.- Find x

AB/DF = BC/FE

Substitution

x/18 = 5/15

Solve for x

x = 18(5/15)

x = 90/15

x = 6

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