Answer:
105.
Step-by-step explanation:
21+21+21+21+21=105.
In the pattern, the values are increasing by 22 each time so for the 117th term you take 57 + 22 = 79
So, 117= 79
The marked angles are opposite angles, and as such they have the same measure. So, we have

Subtract 2a and 11 from both sides to get

Divide both sides by 4 to get

Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:


Answer:
40 + 4x
Step-by-step explanation:
formula for perimeter:
( length * 2 )+(width * 2)
you know that the length and width will be increased by the same number so you can call that X.
((length + x)*2) + ((width + x) * 2)
then substitute length and width
((15+x)*2) + ((5+x)*2))
you can simplify this a bit more
30 + 2x + 10 + 2x
40 +4x
Goodluck with your schoolwork/homework!
----------------------------------------------------------------
Sorry for any wrong answers or bad explanations.