Answer:
m<1 = 51
m<2 = 61
m<3 = 29
Step-by-step explanation:
three angles of a triangle = 180
so knowing that add 68 + 61 to get 129
now subtract cause the last angle will = 180-129 = 51
for angle two is 61 cause their congruent
now we have one angle = 90 and another 61
add them 90+61= 151
now subtract 180-151 = 29
The savings is the amount taken off or 32% of 150
32% of 150 is 0.32 times 150=48
savings is $48
or you can do
150/100=x/32
cross multiply to get
x=48
so savings is $48
Answer:
Your answer is exactly 120 feet
Since you need a little bit of trigonometry to solve this problem,
I'm pretty sure you've had a little bit of trigonometry in class before
you were assigned to solve this problem.
-- The shaded triangle comes from taking the equilateral triangle and
either folding it in half or cutting it in half.
-- The base that the new triangle is standing on is 1/2 the base of the
equilateral triangle, so it's 7 cm long.
-- The acute angle at the right end of the base is the same as it was in
the equilateral triangle . . . 60 degrees.
-- The tangent of 60 degrees is (opposite side)/(adjacent side) = x / 7 cm
tan(60) = x/7
-- Multiply each side of this little equation by 7 : 7 tan(60) = x
If you don't have the tangent of 60 degrees in your pocket, you can
find it with your calculator. Multiply it by 7, and Shazam, you know 'x' .
The correct answer is 0.1
