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If HF=4x+9, EF = 5x+3 , and EF is perpendicular to HF, solve for x.

If HF=4x+9, EF = 5x+3 , and EF is perpendicular to HF, solve for x.-example-1
User Gavr
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2 Answers

4 votes

Answer: X=6

Step-by-step explanation: Solve it like how you would solve 2 step equation and then divide by 1

User Megubyte
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5 votes

Answer:

x = 6

Explanation:

HF = 4x + 9

EF = 5x + 3

Since FG is perpendicular to EH, ∆EFG and ∆HFG are congruent to each other.

Thus:

HF = EF

4x + 9 = 5x + 3 (substitution)

Collect like terms

4x - 5x = -9 + 3

-x = -6

Divide both sides by -1

x = 6

User Rins
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7.5k points