Divide them both by three and you will get your answer, which is 5/24
Answer:
Step-by-step explanation:
Left hand column
-780 works. The arm swings around the origin like a clock twice which makes - 720. You have - 60 left over so that one works.
- 420 works. The clock hand swings around the origin once clockwise. The arm still has -60 to go . - 60 is what you want.
300 will wind up in the same place as - 60. Both are in the 4th quad in the same place.
660 will do the same thing as 300. 660 - 360 = 300. Both 300 and -60 have same terminal arm.
-1020 looks like it works, but it does not. The clock hand swings around the origin twice. That's - 720. You still have - 300 to go. That puts you in the 1st quadrant not the 4th.
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Right hand column
You have to be careful with this one. The reasoning is just slightly different.
145 degrees is in the second quadrant. If you have - 215, the arm will wind up in the same place as 145 (in the second quadrant). What you are looking for is something that is either 145 or - 215
-575 = one revolution around (360) with a remainder of -215 so this one works.
-215 works. See introductory statement for this problem.
505 works. 505 - 360 = 145. The arm swings around the +x axis once and the remainder is 145.
865 works. The terminal arm swings around the + axis twice and gives 865 - 2*360 = 865 - 720 = 145.
Answer:
C. 19
Step-by-step explanation:
90+26=116
180-116=64
3x+7=64
3x=57
x=19
Answer:
W can be 3, 4, and 5
Step-by-step explanation:
If it is less than 18 and higher than 6 then I think those, 3 times 3, 4, and 5, would be in between your range.
I started this one then got busy with other things.
z and 71 deg form a same side interior pattern
they're supplementary angles
sum to 180 degrees
z + 71 = 180
z = 180 - 71
z = 109 degrees
z and x are alternate angles
their measures are the same
z = 109 deg so x = 109 deg
y and 71 deg form adjacent angles which are supplementary
sum to 180 degrees
y = 180 - 71 = 109 deg
x = 109 deg, y = 109 deg, z = 109 deg
Part b
w and 88 form a supplementary pair
they add to 180 deg
w = 180 - 88 = 92 deg
v and 101 deg are vertical or opposite angles
They are congruent
So v = 101 deg