Question

For the angles formed by the expressions 4x + 25 and 8x - 30, what is the value of x such that these angles are congruent?

A) x = 25
B) x = 5
C) x = 30
D) x = 10

Answer 1

To determine when the angles 4x + 25 and 8x - 30 are congruent, we set the expressions equal and solve for x, but the resulting value, 13.75, does not match any of the provided answer choices.

Step-by-step explanation:

To find the value of x such that the angles formed by the expressions 4x + 25 and 8x - 30 are congruent, we set the two expressions equal to each other:

4x + 25 = 8x - 30

To solve this equation, we subtract 4x from both sides:

25 = 4x - 30

Next, we add 30 to both sides:

55 = 4x

Finally, we divide both sides by 4 to find the value of x:

x = 55 / 4

x = 13.75

This value of x does not match any of the options provided (A, B, C, D), indicating a possible mistake in the question or the answer choices.