1) The measures of the opposite angles of an inscribed quadrilateral are supplementary, add up to 180.
That means that angle ROP and angle RQP are supplementary.
We can add them and set them equal to 180 so that we can solve for x first.
∠ROP + RQP = 180
x + 17 + 6x - 5 = 180
7x + 12 = 180
7x = 168
x = 24
Now use the 24 for x and solve for the measure of angle ROP.
∠ROP = x + 17
∠ROP = 24 + 17
∠ROP = 41
The answer is A
2) The answer is A.
Hope this helps :)
3/8+1/16=6/16+1/16=(6+1)/16=7/16
Answer : 3. ABC is less expensive by $0.05 per pound
So let's find the price for one pound first:
ABC = $6/8pounds = $0.75/ 1 pound
XYZ = $11.20/14 pounds = $0.8/ 1 pound
So we can see ABC cost less for 1 pound and we can find the difference by subtracting:
0/8=0/75 = 0.05
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Ray FM has terminal point F, so that will be the first letter of the name. The second letter of the name can be any of the points to the left of F on the line:
... D, L, M, P, K
Appropriate choices are ...
Answer:
-1 -3i
Step-by-step explanation:
It is unusual to have two imaginary terms grouped together like this. Taking the question at face value, we treat i as though it were a variable, and collect terms in the usual way.
(-2i +3i) +(-1 -4i) = i(-2+3-4) -1 = -1 -3i