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3 years ago

An angle measures 152° less than the measure of its supplementary angle. What is the measure of each angle?

Mathematics

1 answer:

GrogVix [38]3 years ago

5 0

Two supplementary angles when added together need to equal 180 degrees.

Let the first angle = X

The second angle would then be X - 152

Add them together to equal 180:

X + X - 152 = 180

Simplify:

2X -152 = 180

Add 152 to each side:

2X = 332

Divide both sides by 2:

X = 332 / 2

X = 166

The first angle = X = 166 degrees.

The second angle = X - 152 = 166 - 152 = 14 degrees.

The angles are 166 and 14

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How do you solve -5n-8(1+7n)=8

Reil [10]

-5n-8(1+7n)=8
Let's simplify everything.
-5n-8-56n=8
Put the variables on one side and the numbers on the other.
-5n-56n=8+8
Combine like terms.
-61n=16
n=-16/61

Hope I helped! :)

8 0

3 years ago

Read 2 more answers

t hits the square dartboard shown below at a random point. Find the probability that the dart lands in the shaded circular regio

masha68 [24]

Given:

Required:

To find the probability that the dart land will be in the shaded region.

Explanation:

Area of the circle is given by the formula:

$A=\pi r^2$

Where r = radius

Thus the area of the circular region

$\begin{gathered} =(3.14)\times(2)^2 \\ =3.14\times4 \\ =12.56\text{ square in.} \end{gathered}$

The area of the square is given by the formula:

$=(side)^2$

Thus the area of the given square

$\begin{gathered} =(6)^2 \\ =36\text{ square in.} \end{gathered}$

The probability of an event is given by the formula:

$P=\frac{number\text{ of possible outcomes}}{Total\text{ number of outcomes}}$

The probability that the dart land will be in the shaded region

$=\frac{Area\text{ of the shaded region}}{Area\text{ of the square}}$

Thus probability

$\begin{gathered} P=\frac{12.56}{36} \\ P=0.3488 \\ P=0.349 \end{gathered}$

Final answer:

Thus the probability that the dart land will be in the shaded region is 0.349.

6 0

1 year ago

Please Answer Quick Pleaseeeeee!! <3 TYYYYYY SMMMM!!!<br> Im Almost Done After this question!!!

ohaa [14]

Answer: I think 2 4/39

Step-by-step explanation: not sure sorry if i get it wrong

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3 years ago

Help with this please.

Ivanshal [37]

Answer:

True
True

Step-by-step explanation:

This question asks you to compare the coordinates of the vertex of each function.

The vertex of the function is its minimum, the point where the graph stops decreasing and starts increasing. It is the lowest point on the graph.

The vertex is (-4, -1). The minimum is -1, located at x = -4.

The vertex is (1, -25). The minimum is -25, located at x = 1. We know this is the minimum because there are no g(x) values that are lower (more negative).

<h3>comparison</h3>

The minimum of f(x), -1, is greater than the minimum of g(x), -25. TRUE

The x-value of f(x) at its minimum, -4, is less than the x-value of g(x) at its minimum, 1. TRUE

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2 years ago

If 100% of a number is 15, what is 50% of the number?

anzhelika [568]

Answer:

Let n be the number

100% of a number is 15 is written as: 100% × n = 15

100% = 100 / 100 = 1

Hence

100% × n = n = 15

We now need to find 50% of the number

50% of 15 = (50 / 100) × 15 = 750 / 100 = 7.5

Step-by-step explanation:

Mark me as brainliest pls

§ALEX§

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3 years ago