Set 14: Linear Equations

Explanation

Answer: A

Two angles are complementary (sum to 90). One is $x$ and the other is $4x + 10$ . What is $x$ ?

✓ Correct

Detailed Explanation

Choice A is correct. Choice C is the correct answer. 1. Equation: $x + (4 x + 10) = 90$ 2. Combine: $5x + 10 = 90$ 3. Subtract 10: $5x = 80$ 4. Divide by 5: $x = 16$ 5. Verify: $16+ 74 = 90$ ✓ Choice D is incorrect because it results from an error in the solution process. Choice C is incorrect because it results from an error in the solution process. Choice A is incorrect because it results from an error in the solution process.

Key Steps:

•

The correct answer is 16

Why others are wrong:

B: Choice B is incorrect and may result from a calculation error.

C: Choice C is incorrect and may result from a calculation error.

D: Choice D is incorrect and may result from a calculation error.

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