Question

Part 1: Which equation may be used to determine the value of x?

(1 point)
Responses

5x−31=90
5 x minus 31 is equal to 90

5x+31=90
5 x plus 31 is equal to 90

5x = 31
5x = 31

5x+31=180
5 x plus 31 is equal to 180
Question 2
(2 points)
Part 2: Complete the following prompts.

x =

The measure of angle 5x =
degrees.

Answer 1

To determine the value of \( x \), we need to isolate \( x \) in the equations provided. Let’s analyze the equations given:

1. \( 5x - 31 = 90 \)
2. \( 5x + 31 = 90 \)
3. \( 5x = 31 \)
4. \( 5x + 31 = 180 \)

In order to complete the statement and find the measure of angle \( 5x \), we should first look at the first equation since it seems reasonable to assume a standard form for an angle equation:

**Part 1: The correct equation to determine the value of \( x \) could be:**

**\( 5x - 31 = 90 \)** (assuming we’re solving for \( x \) based on angle measurements).

---

**Part 2: Solve for \( x \)**:

1. Start with the equation \( 5x - 31 = 90 \).
2. Add 31 to both sides:

\[
5x = 90 + 31
\]
\[
5x = 121
\]

3. Divide by 5:

\[
x = \frac{121}{5} = 24.2
\]

Now we can find the measure of angle \( 5x \):

\[
5x = 5 \times 24.2 = 121 \text{ degrees.}
\]

**Final Answers:**

\( x = 24.2 \)

The measure of angle \( 5x = 121 \text{ degrees.} \)