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Hitman42 [59]
3 years ago
8

Two angles are supplementary if their sum is​ 180°. the larger angle measures five degrees more than four times the measure of a

smaller angle. if x represents the measure of the smaller angle and these two angles are​ supplementary, find the measure of each angle.
Mathematics
1 answer:
wlad13 [49]3 years ago
5 0
Let x represent the smaller angle.
Let y represent the larger angle.

The problem states that the larger angle measures five degrees more than four times the measure of the smaller angle.
With this given information, we can create the following equation.

y=4x+5

Also, they a supplementary, meaning that they add up to 180. We can create another equation.

x+y=180

Since we have two linear equations and we want to find the solution, we have a system of linear equations. Let's solve this system by using the substitution method.

Substitute y=4x+5 into x+y=180

x+y=180

After substituting, you get

x+4x+5=180

Now, combine the x's

5x+5=180

Subtract both sides by 5

5x=175

Divide both sides by 5.

x=35

Now, we can solve for y using the equation x+y=180 since we know the value of x.

35+y=180

Subtract both sides by 35.

y=145

The smaller angle has a measure of 35 degrees and the larger one has a measure of 145 degrees. Have an awesome day! :)
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Step-by-step explanation:

then just round it to the nearest hundreth

GIVE ME BRAINLIEST AND HAVE A NICE DAY!

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<h2>354 \frac{3}{4}  \:  \: feet</h2>

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Since the calculated value of t = -9.462 falls in the critical region  t ≤-2.048

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Step-by-step explanation:

The null hypothesis the usually the test to be performed. Here we want to check whether the water is neutral or not. Neutral water must have a pH of 7 . This can be stated as the null hypothesis. And the claim is treated as the alternate hypothesis that water in not neutral or not having pH= 7

In symbols it will be written as

H0: : μ = 7 vs. Ha : μ ≠ 7

So choice C is the best option for this hypothesis testing.

Let the significance level be 0.05

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And the sample standard deviation is =s= 0.63

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We conclude that the  springtime water the tributary water basin around the Shavers Fork watershed is not neutral. We accept our alternate hypothesis and reject the null hypothesis.

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