<h3>
Answer: D. 72</h3>
Work Shown:
Angle PQR = (far arc - near arc)/2
Angle PQR = ( (major arc PR) - (minor arc PR) )/2
Angle PQR = ( (2x+252) - (2x+108) )/2
Angle PQR = 144/2
Angle PQR = 72
Notice how we didn't need to find the value of x at all.
Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

So, by substitution:

Simplify. Distribute:

Rearrange:

Combine like terms. Hence:

Option A. 5/8 is the correct answer.
Step-by-step explanation:
Square root by factorization will be used to solve this question.
Given

The square root can be applied to numerator and denominator separately

Factorization

Hence,
Option A. 5/8 is the correct answer.
Keywords: Square roots, factorization
Learn more about square root at:
#LearnwithBrainly
In this type of problem, we would want to use a system of linear equations.
First, we need to find our equations. We know that the two boys traveled 275 km in total, and since x and y count the distance traveled (just in different modes of travel), we can write: x + y = 275.
Next, the problem says that they biked 55 km more than they bussed. So, x = y + 55.
Now that we have two equations to solve for two variables, we can lay them out next to each other:
x + y = 275
x = y + 55
We see that we can substitute x in the first equation with y + 55. This gives us
(y + 55) + y = 275
We solve for y and get y = 110 km by bus. But, we want to know how far they traveled by bike. So, since x = y + 55 and y = 110, we can solve for x by doing 110 + 55 = 165 km by bike.
The answer is 165 kilometers.
Answer:
She sews 16/21 dresses in one hour
Step-by-step explanation: