I'll do part (a) to get you started.
The angle 'a' pairs up with the 123 degree angle as a corresponding angle pair. Due to the parallel lines, the corresponding angles are congruent. Therefore a = 123.
We also see that b = 123 as well since a = b (they are vertical angles).
Notice how angle c is adjacent to the 123 degree angle. These two angles form a straight line, so they must add to 180 degrees.
c+123 = 180
c = 180-123
c = 57
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To summarize, we have these three angles
a = 123
b = 123
c = 57
Answer:
C = 12 + 15(x - 4)
C = 15x - 48
Step-by-step explanation:
Let the number of hours = t
The total amount Miguel earns =
C
To edit a manuscript, Miguel charges 12 dollars per hour for the first 4 hours and 15 dollars per hour after the first 4 hours.
C = 12 + 15(x - 4)
Expand the t
C = 12 + 15x - 60
C = 15x - 48
Therefore, an expression for the amount, in dollars, Miguel charges if it takes him t hours to edit a manuscript, where t>4 is given as:
C = 15x - 48
Answer:
A. 105°
Step-by-step explanation:
Consecutive interior angles are angles that are supplementary, meaning they add up to 180°. If one angle is worth 75°, to find the other angle, we subtract 75 from 180 to get the angle measure.
Therefore, the answer is A.
Have a lovely rest of your day/night, and good luck with your assignments! ♡