The answer is D
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Answer:
V = l×w×h units³
Step-by-step explanation:
The volume of a rectangular prism is V = l×w×h
12.7
Using the Pythagorean theorem, you can easily calculate the length of BC.
So:
BC = sqrt(12^2 - 6^2) = sqrt(144 - 36) = sqrt(108) = 10.39230485
Now consider triangle BCD. You know all three angles and one side. Using the law of sines you know that ratio of the sine of each angle over the opposite side is constant. So:
BC/sin(55) = CD/sin(90)
BC/sin(55) = CD/sin(90)
sin(90)BC/sin(55) = CD
1*BC/sin(55) = CD
BC/sin(55) = CD
10.39230485/0.819152044 = CD
12.68666167 = CD
12.7 = CD
Answer:
p = 56.7°
n = 123.3°
Step-by-step explanation:
The sum of linear pair angles is 180° because, because a linear pair angles, are angles formed by two intersected lines and the angle of a straight line is 180°.
Then your first equation is:
n + p = 180°
The second equation can be formulated with the information given:
"angle n is 10 more than twice the measure of angle p."
n = 10 + 2p
Replacing in the first equation:
10 + 2p + p = 180°
3p = 170°
p = 56.7°
n = 123.3°
Answer:
107
Step-by-step explanation:
the angle left of the 57 is 180-57 = 123
Sum of angles in quadilateral is 360, so
x = 360 - 60 - 70 - 123 = 107
