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balu736 [363]
3 years ago
9

One of two supplementary angles is five times the other. Find the measure of each angle

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer:

Step-by-step explanation:

supplementary angles add up to 180

so let one angle be x.....and the other angle is 5 times bigger....so let the second angle be 5x

x + 5x = 180

6x = 180

x = 180/6

x = 30

5x = 5(30) = 150

so one angle is 30 and the other angle is 150

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What is the y value in this equation ?X(0)=(-1/3y)+6
snow_lady [41]

Answer:

18

Step-by-step explanation:

8 0
4 years ago
What is the slope of the line below? If necessary, enter your answer as a
Westkost [7]

9514 1404 393

Answer:

  6/5

Step-by-step explanation:

The slope formula is useful for finding the slope.

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -11)/(-5 -5) = -12/-10

  m = 6/5

The slope of the line through the given points is 6/5.

3 0
3 years ago
Please please please help. thank you.
djverab [1.8K]
Lets get started :)


The First question:
Diameter = 20 ft
Radius = \frac{1}{2} of 20 (diameter) = 20 ft

Area formula of a circle is
A = \pir²
    =\pi(10)²
    =100\pi ft²
    ≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm  divided into 20 sectors area

A = \pir²
   = \pi(12)²
   = 144\pi ft²

Divide into 20 equal sector areas = \frac{144 \pi }{20} = 7.2 \pi

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36\pi , Radius = ?

\frac{angle}{360} = \frac{sector}{ \pi (r)^2}
\frac{90}{360} = \frac{36 \pi }{ \pi r^2}
\pi and \pi cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

\frac{12960}{90} = \frac{90r^2}{90}
144 = r²

Take squareroot 
 \sqrt{144} = x
x = 12 in

Your answer will be the third option




4 0
4 years ago
1. Joshua has a ladder that is 17 ft long. He wants to lean the ladder against a vertical wall so that the top of the ladder is
Molodets [167]

Answer:

The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.

Thus, the ladder will not be safe for its height and therefore won't make sense.

7 0
3 years ago
Read 2 more answers
Find the measure of Z CFD.СF5m + 116T3m + 80D
leva [86]
\begin{gathered} 5m+116+3m+80=180 \\ 8\text{m=180-116-80} \\ 8m=-16 \\ m=-2 \\ \text{CFD}=5m+116 \\ \text{CFD}=5\times(-2)+116 \\ \text{CFD}=-10+116 \\ \text{CFD}=106 \end{gathered}

7 0
1 year ago
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