Answer:
m=8
m<A=83
m<D=97
Step-by-step explanation:
Angles that are opposite of each other in a parallelogram are equal. Knowing this, we can first conclude that angle A and angle C are equal. We can set up the following equation:
Subtract both sides by 11
Subtract both sides by 8m
To calculate angle A, plug the value of m into its expression.
In a parallelogram, angles that share a side are supplementary, meaning they add up to 180 degrees. Therefore, angle A and angle D are supplementary. Knowing this, we can set up the following equation:
Subtract both sides by 83
I hope this helps!
The least whole number with 5 digits is greater. The greatest number with 4 digits is 9999, and the least whole number with 5 digits is 10000. 9999 < 10000.
First, make an equation.
y=4/5x-95
The first shift makes 1000 CD players, while the second shift makes 705 CD players.
Problem 11
Answer: Angle C and angle F
Explanation: Angle C and the 80 degree angle are vertical angles. Vertical angles are always congruent. Angle F is equal to angle C because they are alternate interior angles.
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Problem 12
Answer: 100 degrees
Explanation: Solve the equation E+F = 180, where F = 80 found earlier above. You should get E = 100.
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Problem 13
Answer: 80 degrees
Explanation: This was mentioned earlier in problem 11.
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Problem 14
Answers: complement = 50, supplement = 140
Explanation: Complementary angles always add to 90. Supplementary angles always add to 180. An example of supplementary angles are angles E and F forming a straight line angle.