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The two triangles are similar.

What is the value of x?

The two triangles are similar. What is the value of x?-example-1

2 Answers

6 votes

Answer:


x = 5

Explanation:

We can solve for x using a proportion, since we are given that the two right triangles are similar. Here is the proportion modeled in an equation:


(3x+1)/(12) = (4x)/(12 + 3)

We can solve for x by algebraically manipulating this equation.

↓ simplifying the right fraction's denominator


(3x+1)/(12) = (4x)/(15)

↓ cross-multiplying


15(3x+1)= 12(4x)

↓ applying the distributive property


45x + 15 = 48x

↓ subtracting
45x from both sides


15 = 3x

↓ dividing both sides by 3


5 = x


\boxed{x = 5}

User Matthew Brent
by
8.9k points
6 votes

Answer:

x = 5

Explanation:


(15)/(4x) = (12)/(3x + 1)


15(3x + 1) = 12(4x)


45x + 15 = 48x


3x = 15


x = 5

User Crowie
by
8.0k points

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