Answer: 142°15'
Explanation:
Supplementary angles are angles that add up to make a straight angle (
).
Therefore, we must find the angle ∠B such that
∠A + ∠B = 180° (1)
We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:
∠B = 180° - ∠A = 180° - 37°45' = 142°15'
So, the correct answer is
142°15'
Answer: The measure of AC is 32.
Explanation:
It is given that the Points B, D, and F are midpoints of the sides of ΔACE. EC = 38 and DF = 16.
The midpoint theorem states that the if a line segments connecting two midpoints then the line is parallel to the third side and it's length is half of the third side.
Since F and D are midpoints of AE and EC respectively.
So by midpoint theorem length of AC is twice of DF.



Therefore, the length of AC is 32.
9514 1404 393
Answer:
a = any positive multiple of 3
Step-by-step explanation:
You want ...
(5 1/3)/(4/a) = whole number
(16/3)·(a/4) = whole number
(4a/3) = whole number
This will be the case for a = 3n, for any positive integer n.