Answer:
measure of two unknown angles are 35.7° and 75.4°
measure of one unknown side is 16.6 inches
Step-by-step explanation:
i used law of sines to find the angle opposite 10 inch side
sin 68.9/16 = sinФ/10
Ф = 35.7°
then is added 35.7 and 68.9 and subtracted the sum from 180° to get the measure of the third angle, 75.4°
i used law of sines again to find the measure of the third side
sin 68.9/16 = sin 75.4/x
x = 16.59
Answer:
d = 9
Step-by-step explanation:
Given
1 = 
d - 2 ( multiply through by 3 to clear the fraction )
3 = d - 6 ( add 6 to both sides )
9 = d
Answer:
FG = 31
Step-by-step explanation:
By applying mid-segment theorem in the given trapezoid,
Segment joining midpoints of the nonparallel sides is parallel and measure the half of the sum of parallel sides.
FG = ![\frac{1}{2}[UV+TW]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5BUV%2BTW%5D)
(7x - 4) = ![\frac{1}{2}[(6x-6)+38]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%286x-6%29%2B38%5D)
2(7x - 4) = 6x + 32
14x - 8 = 6x + 32
14x - 6x = 32 + 8
8x = 40
x = 5
Therefore, FG = (7x - 4)
= 7(5) - 4
= 31
Yes, x can be a positive integer.
x is an unknown number, and that number can be anything - positive numbers, negative numbers, fractions, ect.
9514 1404 393
Answer:
11 cm
Step-by-step explanation:
The volume of the prism is given by the formula ...
V = Bh
where B is the area of the triangular base, and h is the height.
Filling in the given information, we find the area of the triangular base to be ...
726 cm³ = B(12 cm)
B = 726 cm³/(12 cm) = 60.5 cm²
The area of an isosceles right triangle is half the area of a square with the same side lengths:
B = 1/2s²
60.5 = 1/2s²
s = √(2(60.5)) = √121 = 11
The length of each of the equal sides of the base is 11 cm.
