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What is the value of x?

Please help! Thanks!

What is the value of x? Please help! Thanks!-example-1
User Alk
by
8.0k points

1 Answer

1 vote

Answer:

x=75

Explanation:

We can use proportions to solve this problem. Put the side of the small triangle over the side of the large triangle.

42 50

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

42+63 50+x

42 50

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

105 50+x

Using cross products

42(50+x) = 50*(105)

2100+42x = 5250

Subtract 2100 from each side

2100-2100+42x = 5250-2100

42x =3150

Divide by 42

42x/42 = 3150/42

x = 75


User Pau Kiat Wee
by
7.6k points