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Answer:
x = 3.
Step-by-step explanation:
Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:
2x + x + 5 = 3x + 5
4 + 3 = 7
Now, we can set up a ratio:
[tex]\frac{x+5}{4}=\frac{3x+5}{7}[/tex]
Cross multiply:
7(x + 5) = 4(3x + 5)
Distribute:
7x + 35 = 12x + 20
Subtract 7x from both sides:
35 = 5x + 20
Subtract 20 from both sides:
15 = 5x
Divide both sides by 5:
x = 3.
