Let ∠RTS=∠RST = a (say)
∠QUA=∠QSU= b(say)
then we know , at point S, a+40+b=180. so, a+b=140 we'll use this later.
consider trianglePQR, ∠P+∠Q+∠R=180
i.e.P+(180-2b)+(180-2a)=180
P+180+180-2(a+b)=180 ⇒P+180-2(a+b)=0 ⇒P=2(140)- 180=280-180=100
hence,answer is E
Answer: 5.875 miles run on Friday to reach her goal by Jen
Step-by-step explanation:
Since we have given that
Part of distance covered on Monday by Jen is given by

Part of distance covered on Tuesday by Jen is given by

Part of distance covered on Wednesday by Jen is given by
0
Part of distance covered on Thursday by Jen is given by

Total part of distance covered in these four days by Jen is given by

Remaining part of distance will be covered on Friday to reach her goal which is given by

Hence, 5.875 miles run on Friday to reach her goal by Jen.
Carter paid $200 for the bike.
Step-by-step explanation:
Given,
Current value of bike = $90
This represent 45% of the original amount Carter paid for bike.
Let,
x represent the original amount of bike.
45% of x = 90

Dividing both sides by 0.45

Carter paid $200 for the bike.
Keywords: percentage, division
Learn more about division at:
#LearnwithBrainly
9514 1404 393
Answer:
9n^4
Step-by-step explanation:
The divisor and quotient can be interchanged to find the divisor:

Such division is carried out by first finding the quotient of the highest-degree terms:

This value is used to multiply the denominator and subtract that product from the numerator to find the new numerator. The new numerator is zero, so the value that goes in Blank 1 is ...
9n^4
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The attachment shows the long division.