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2 years ago

The measure of an angle is 142.5°. What is the measure of its supplementary angle?

Mathematics

1 answer:

Debora [2.8K]2 years ago

7 0

Answer:

37.50°

Step-by-step explanation:

The sum of both sides of an angle is 180°.

180° - 142.5° = 37.50°

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I need to know the solution to this

Alex73 [517]

There are two ways to do this but the way I prefer is to make one of the equations in terms of one variable and then 'plug this in' to the second equation. I will demonstrate

Look at equation 1, $-2x+y=10$ this can quite easily be manipulated to show $y=10+2x$ .

Then because there is a y in the second equation (and both equations are simultaneous) we can 'plug in' our new equation where y is in the second one $4x-y=-14 \Rightarrow 4x-(10+2x)=-14$ which can then be solved for x since there is only one variable $4x-10-2x=-14 \Rightarrow 2x=-4 \Rightarrow x=-2$ and then with our x solution we can work out our y solution by using the equation we manipulated $y=10+2x = 10+(2 \times -2) = 10-4=6$ .

So the solution to these equations is x=-2 when y=6

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2 years ago

Noah wants to predict who will be selected as the sixth-grade treasurer for student council. Which of the following groups shoul

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2 years ago

Read 2 more answers

Three consecutive integers add up to -36. What are the integers?

nasty-shy [4]

Answer:

We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below

Explanation

3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36

Plz mark brainliest if helps Also hope helps:)

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2 years ago

Lindo used 1/4 of the yard of fabric she bought for a sewing project how much fabric did she have left

maksim [4K]

Answer:

she has 3/4 of the material left or 75%

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2 years ago

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$

Now we have everything in order to replace into formula (1):

$62-2.72\frac{8}{\sqrt{36}}=58.373$

$62+2.72\frac{8}{\sqrt{36}}=65.627$

So on this case the 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

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3 years ago