Answer: C) 108 degrees
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Explanation:
Angle 4 is an exterior angle which corresponds to the remote interior angles of 33 degrees and 75 degrees. Through the remote interior angle theorem, we can add the remote interior angles to get the exterior angle
So we simply add 33 and 75 to get 33+75 = 108
If you chose not to use this theorem, then you can find angle three by using the fact that all three angles of the triangle must add to 180 degrees. So,
33+75+(angle 3) = 180
108+(angle 3) = 180
108+(angle 3) - 108 = 180 - 108
angle 3 = 72 degrees
Then use the fact that angle 3 and angle 4 are supplementary
(angle 3) + (angle 4) = 180
72 + (angle 4) = 180
72 + (angle 4) - 72 = 180 - 72
angle 4 = 108 degrees
either way, we get the same answer
Answer:
x=7
Step-by-step explanation:
first, add 12 to both sides so it would look like: 6x-12+12=30+12
so, ya get 6x=42
then you divide 6 from both sides, and that is: 6x/6=42/6
so x=7
Answer:
If we are assuming that this is a direct variation, y would be equal to 99.
Step-by-step explanation:
To find this, we start with the base equation for direct variation.
y = kx
Now we find k by plugging in our original values for x and y.
y = kx
36 = k(4)
9 = k
Now that we have k, we can model the equation.
y = 9x
And we can use the value of 11 in the next equation to find y.
y = 9x
y = 9(11)
y = 99
Answer:
<em>Arithmetic sequence</em>. The difference is -5.
The property demonstrated is Associative property.
