Answer:
240.3
Step-by-step explanation:
Tan(31) = y/400ft
400 tan (31) = y
y = 240,3
M<A + m<B + m<C = 180
80 + 3x + 5 + <span>5x - 1 = 180
8x + 84 = 180
8x =96
x = 12
m<</span><span>B = 3x + 5 = 3(12) + 5 = 41
m<C = </span><span>5x - 1 = 5(12) - 1 =59
and
m<A = 80
</span><span>answer:
order from shortest to longest in ∆ABC</span><span>
AC, AB, BC
P.S.
Smallest angle, shortest side.....
Largest angle, longer side....
</span>
Y^2 + 4y - 32 = 0
y^2 - 4y + 8y - 32 = 0
y(y - 4) + 8(y - 4) = 0
(y + 8)(y - 4) = 0
y + 8 = 0 or y - 4 = 0
y = -8 or y = 4.
<span>1) supplementary angles => sum of angles' measure is 180°
Two lines intersecting creating four angles with the left obtuse angle labeled one and the acute angle to the right labeled two
= > angle 1 + angle 2 = 180°
Then those two match.
2) complementary angles => sum of the two angles = 90°
Two lines intersecting in a right angle with a square indicating a right
angle in quadrant one and a ray splitting quadrant two with a two
labeling the left angle and one labeling the angle on the right
=> angle 2 + angle 1 = 90°
Then those two match
3) vertical angles
Two parallel horizontal lines intersected by a vertical line with a
square indicating a right angle in quadrant one of the top line and a
one labeling the angle in quadrant two and two labeling quadrant four of
the top line
Those two matches because the angle label 1 and the angle label 2 are vertical angles as per the definittion.
4) adjacent angles
Two lines intersecting in a V shape with the left angle of one hundred fifty seven degrees and a bottom angle of X degrees
Those two match becasue the angle of 157° and the angle of X° are adjacent.
</span>
The simplest form is 29/6
