Answer:
x = 5
Step-by-step explanation:
By remote exterior angle theorem:

Answer:
32
Step-by-step explanation:
<h3>$330</h3>
Step-by-step explanation:
Half of 40 is 20 and luckily they already gave us how much she would earn if she worked 20 hours.
So all we have to do is multiply the amount of money she earned when she worked 20 hours by 2 to see how much she earned when she worked 40 hours.
20 hours:165 dollars or 20:165
20 x 2= 40 and 165x2=330
So if Monique worked 40 hours she would earn $330.
Answer:
The longest segment is approximately 19.13cm
Step-by-step explanation:
Given



Required
The length of the longest segment (d)
This is calculated using:

So, we have:

Using a calculator, the equation becomes

Take square roots

Answer:
10:1:5
Step-by-step explanation:
Given that,
A game was played by Amy, Bill, and Cara.
Let Amy's score be x. Then,
Bill's score would be x/10
Cara's score = x/2
Now,
The ratio of their scores;
x: x/10: x/2
= 1 : 1/10 : 1/2
To equalize the scores, multiply all of them by 10
= (1 * 10): (1/10 * 10) : (1/2 * 10)
= 10 : 1 : 5
Thus, the simplest ratio form would be 10:1:5