Answer:
<u><em>Vertical angles are</em></u><u><em> congruent</em></u><u><em>, so the</em></u>
<u><em>equation </em></u><u><em>3x-6 = 114</em></u><u><em> can be used to find x.</em></u>
<u><em>The value of x is </em></u><u><em>40</em></u><u><em>.</em></u>
<u><em /></u>
<u><em>Convince Me!</em></u>
<u><em>Why can you use an equation when solving for x in</em></u>
<u><em>the diagram?</em></u>
<u><em>You can use the eqution because they are equal to each other. When they are equal to each other, you can find x by using the equation to simplify and get x alone.</em></u>
Answer:
Step-by-step explanation:
<span>Joe got an hourly raise at work and his new rate will be $10.25 per hour.
</span>If r represents the amount of the raise, then the following equation can be written:
X=10.25-r
where X is <span>Joe’s hourly rate was before his raise.
Joe was paid (10.25-r) USD per hour before he got a raise.</span>
Answer:
or
units.
Step-by-step explanation:
To find the <em>distance between two points</em>, we can use the Distance Formula.
Distance Formula: 
<u />
<u>Given:</u>
P (10, -7) ⇒ x₁ = 10, y₁ = -7
Q (7, -10) ⇒ x₂ = 7, y₂ = -10
Substitute the given values into the formula and simplify.

The distance between points P and Q is
or
units.
Learn more here:
brainly.com/question/27991769
brainly.com/question/21095661
Answer:
113097.33552923 yards3
Step-by-step explanation: