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Tatiana [17]
3 years ago
10

What is the value of x? Enter your answer in the box.

Mathematics
1 answer:
omeli [17]3 years ago
3 0

Answer:

x=28

Step-by-step explanation:

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

x            42

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

x+10        42+15

x            42

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

x+10        57

Solve using cross products

57x = 42(x+10)

Distribute

57x = 42x+420

Subtract 42x from each side

57x-42x = 42x-42x+420

15x = 420

Divide by 15

15x/15 = 420/15

x=28

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