Question

if 3x + 11 = 5x - 29, what is the value of x? *
10
20
30
none of the above
consecutive angles are always equal to 90. *
true
false

Explanation:

Step1: Rearrange the equation

Move like - terms to one side. Subtract $3x$ from both sides of $3x + 11=5x - 29$:
$3x+11-3x=5x - 29-3x$
$11 = 2x-29$

Step2: Isolate the term with $x$

Add 29 to both sides:
$11 + 29=2x-29 + 29$
$40 = 2x$

Step3: Solve for $x$

Divide both sides by 2:
$\frac{40}{2}=\frac{2x}{2}$
$x = 20$

For the second part: Consecutive angles are not always equal to 90 degrees. For example, in a parallelogram, consecutive angles are supplementary (add up to 180 degrees).

Answer:

1. B. 20
2. false