Answer:
The measure of the angle is 34 deg.
Step-by-step explanation:
Let the angle measure = x
"the supplement of an angle is twenty-four degrees less than five times the angle"
The supplement's measure is 5x - 24
The measures of supplementary angles is 180 deg.
x + 5x - 24 = 180
6x - 24 = 180
6x = 204
x = 34
Answer: The measure of the angle is 34 deg.
The answer is 246:157.
Step by Step:
Group A:
First, figure out 1/5 of the people in group A. ( 615/5 = 123 )
Find 2/5 ( the amount of people who lost ) ( 123*2 = 246 )
Group B:
They received the same amount of fuel cards, so you take 526 - 369 ( 3/5 of the last group, or the winners, which is the amount of cards they received ) = 157.
Answer:
x equals 1 and 5
Step-by-step explanation:
x^2-6x+5
Factor: (x-1) (x-5)
The Zeroes: 1 and 5
The zeroes are the numbers that make the equation equal to zero.
Answer:
5 √ 10 + 2 √ 5 ft high
Step-by-step explanation:Explanation:
Let h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20
h
=
20
sin
(
90
∘
−
18
∘
)
=
20
cos
18
∘
=
20
(
√
10
+
2
√
5
4
)
=
5
√
10
+
2
√
5
