Answer:
44. answer = a. (<)
45. answer = b. (>)
Step-by-step explanation:
To find the relation between the angles, we can use the law of sines in the triangle that contains both angles.
So for question 44, the angles mQRW and mRWQ are both in the triangle QWR, so we have:
10 / sin(mQRW) = 17 / sin(mRWQ)
sin(mQRW) / sin(mRWQ) = 10 / 17
The bigger the sine of the angle, the bigger the angle, so if the ratio between the sine of mQRW and sine of mRWQ is lesser than 1, the angle mQRW is lesser than the angle mRWQ (correct option: a.)
In the same way, in the question 45, the angles mRTW and mTWR are both in the triangle TWR, so we have:
15 / sin(mRTW) = 8 / sin(mTWR)
sin(mRTW) / sin(mTWR) = 15 / 8
If the ratio between the sine of mRTW and sine of mTWR is greater than 1, the angle mRTW is greater than the angle mTWR (correct option: b.)
Basically, the angle opposite to the greater side is the greater angle, and the angle opposite to the smaller side is the smaller angle.
Answer:
9,4,0,1
Step-by-step explanation:
They give you different values for the X so all you have to do is plug in the X to the different equations
Answer:
A
Step-by-step explanation:
10 and 8 are equal
11 and 15 are equal
due to the fact that the angles 10 and 11 but also 8 and 15 are supplementary, we know that they add up to be 180 degrees
180-42=138 degrees
and this means that angle 8 will also be 138 because of what we established earlier
Answer: 53.2
Step-by-step explanation:
Answer:
x = -10
Step-by-step explanation:
first you multiply both sides by -3
x + 7 = -3
then you subtract 7 from both sides
x = -10
hope this helps