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Elina [12.6K]
4 years ago
7

Two angles are supplementary if their sum is 180 degrees. One angle measures three times the measure of a smaller angle. If X re

presents the measure of the smaller. Angle and these two angles are supplementary, find the measure of each angle.
Mathematics
1 answer:
Mkey [24]4 years ago
8 0
So 3 times the measure of a small angle

3x + x= 180

4x = 180
X= 45

3(45) + 4(45) = 180

Hope this helps!
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What is the area of a circle with the diameter of 10
allochka39001 [22]
The area of a circle with a Diameter of 10 is 78.54
5 0
2 years ago
Determine the equation of the line that passes through the points (-1 , 10) and (2,4)
docker41 [41]

Given:

The two points are (-1,10) and (2,4).

To find:

The equation of line which passes though the given points.

Solution:

If a line passes through two points, then the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

The line passes through (-1,10) and (2,4). So, the equation of line is

y-10=\dfrac{4-10}{2-(-1)}(x-(-1))

y-10=\dfrac{-6}{2+1}(x+1)

y-10=\dfrac{-6}{3}(x+1)

y-10=-2(x+1)

Using distributive property, we get

y-10=-2x-2

Adding 10 both sides, we get

y=-2x-2+10

y=-2x+8

Therefore, the required equation of line is y=-2x+8.

5 0
3 years ago
Shay's GPA for last semester was 3.85215. Round this number to the nearest tenth. please help I don’t get rounding
nlexa [21]

Answer:

3.9

Step-by-step explanation:

It is rounded to 3.9 I think

3 0
3 years ago
Read 2 more answers
Please help me with both of these questions I’m supper stuck
Vitek1552 [10]

Answer:

ONE SOLUTION

Step-by-step explanation:

When two points on a line are given, the equation of the line is given by the formula:

             $ \frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1} $

where $ (x_1, y_1) $ and $ (x_2, y_2) $ are the points on the line.

Here, the first set of points are: $ (-1, 3) $ and $ (0, 1) $.

Therefore, $ (x_1, y_1) = (-1, 3) $ and $ (x_2,y_2) = (0, 1) $.

The line passing through this is given by:

$ \frac{y - 3}{1 - 3} = \frac{x + 1}{1} $

$ \implies y - 3 = -2x - 2 $

∴ 2x + y - 1 =0

Now, for the second line, the points are:

$ (x_1, y_1) = (1, 4) $ and $ (x_2, y_2) = (0, 2) $.

Therefore, $ \frac{y - 4}{-2} = \frac{x - 1}{-1} $

$ \implies -y + 4 = -2x + 2 $

∴ 2x - y + 2 = 0

Now, to determine the number of solutions the two equations have, we solve these two equations,

Adding Eqn(1) and Eqn(2) we get:

4x = -1

$ \implies x = \frac{-1}{4} $

And $ y = \frac{3}{2} $.

Since, we arrive at unique values of 'x' and 'y', we say the lines have only one unique solution.

5 0
4 years ago
The following situation calls for a significance test. State the appropriate null hypothesis <img src="https://tex.z-dn.net/?f=H
harina [27]

Answer:

H_{0}: \sigma = 10\\

H_{a}: \sigma > 10\\        

Step-by-step explanation:

We are given the following in the question:

The organizers estimate that the variation in distance flown by the athletes will be σ = 10 meters.

This will be stated by the null hypothesis.

H_{0}: \sigma = 10\\

It was claimed that the organizers are underestimating the variation and the variation in distance is greater than 10.

This will be stated by the alternate hypothesis.

H_{a}: \sigma > 10\\

The parameter for the given hypothesis is standard deviation, \sigma.

3 0
3 years ago
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