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Nezavi [6.7K]
3 years ago
6

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

Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

x = 12

Step-by-step explanation:

The diagram shows an equilateral triangle (because all angles are congruent). All sides in equilateral triangle are congruent, so

4x-10=5x-22=3x+2

Solve the equation

4x-10=5x-22\\ \\4x-10-4x=5x-22-4x\\ \\-10=x-22\\ \\-10+22=x-22+22\\ \\12=x

Check this value:

4x-10=4\cdot 12-10=48-10=38\ units \\ \\5x-22=5\cdot 12-22=60-22=38\ units\\ \\3x+2=3\cdot 12+2=36+2=38\ units

Thus, x=12

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