Does the question include a picture?
Answer:
x=18
Step-by-step explanation:
6-x=-12
Subtracting 6 from both sides
-x=-12-6
-x= -18
Dividing both sides by -1
x=18
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
Answer:
<1 = 50
<2 = 40
<3 = 90
<4 = 90
<5 = 40
<6 = 50
<7 = 130
Step-by-step explanation:
<5 + <6 = 90
40 + <6 = 90
<6 = 50
<5 = <2 because of vertical angles
<2 = 40
<6 = <1 because of vertical angles
<1 = 50
<7 = <4 + <5
<7 = 90 + 40
<7 = 130
Scores are {72, 97, 82, x} where x is the unknown fourth score
They add up to 72+97+82+x = x+251
Divide this sum over four because there are four scores we want to average out. We end up with (x+251)/4 = M where M is the mean. Asa wants the mean to be 82, so make M = 82.
We can replace M with 82 and solve for x like so
(x+251)/4 = M
(x+251)/4 = 82
x+251 = 4*82
x+251 = 328
x = 328-251
x = 77
Asa needs a score of 77 on the fourth test so that the mean of the four tests is 82. If she scores higher than 77 on the fourth test, then the mean will be larger than 82.
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Depending on what your teacher is looking for, the first step is to establish your variable. So you would say "let x = fourth score". However, that seems too easy. So perhaps your teacher is looking for the equation (x+251)/4 = 82 or some variant of it.