Answer
132 degrees
Step-by-step explanation:
Strategy: Find angle DEB and using that fact that DEB + DEF is 180 degrees to find angle DEF
The sum of the four angles of any quadrilateral is 360 degrees.
Since three angles are given, we can use that to find the fourth.
360-(147+93+72)=size of angle DEB. Solving, you get angle DEB is 48.
Also, knowing that segment BF is a straight line, it means that angle DEB + angle DEF is equal to a straight angle (180 degrees).
DEB+DEF=180
48+DEF=180
DEF=180-48=132 degrees.
Thus, angle DEF is equal to 132 degrees.
Answer:
could be either b or d
Step-by-step explanation:
Answer: a) 0.8413, b) 0.9987.
Step-by-step explanation:
Since we have given that
Mean = 3 pounds
Standard deviation = 0.25 pounds
n = 28 bricks
So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?
b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?
Hence, a) 0.8413, b) 0.9987.
By definition,
tanC = (opposite side)/(adjacent side)
= 8.77/2
= 4.385
From the calculator, obtain
m∠C = atan(4.385) = 77.1°
Answer: 77° (nearest whole degree)
Answer: C
Step-by-step explanation:
They are alternate interior angles.
