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rewona [7]
3 years ago
14

Find the values of angles in x,y,z

Mathematics
1 answer:
Roman55 [17]3 years ago
7 0

Answer:

x=91, y=91, z=39

Step-by-step explanation:

the angles add up to 180 so find the difference ex. 51+38=89, 180-89=91 so x is 91

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How to find the measure of an exterior angle on a triangle
nexus9112 [7]
Hi there!

There are many ways to find the measure of an exterior angle of a triangle. I'll explain the easiest method to you. As you can see in the image, a line is drawn extending a side of the triangle. In order to find the measure of the exterior angle, we can subtract the measure of the adjacent interior angle from 180 (a straight angle). Doing this subtraction will give us the measure of the exterior angle.

Hope this helps!! :)

6 0
3 years ago
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A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that yo
aev [14]

Answer:

1. M=108

2. μ=110

3. In the explanation.

4. Test statistic t = -1.05

5. P-value = 0.1597

Step-by-step explanation:

The question is incomplete: to solve this problem, we need the sample information: size, mean and standard deviation.

We will assume a sample size of 10 matches, a sample mean of 108 points and a sample standard deviation of 6 points.

1. The mean points is the sample points and has a value of 108 points.

2. The null hypothesis is H0: μ=110, meaning that the mean score is not significantly less from 110 points.

3. This is a hypothesis test for the population mean.

The claim is that the mean score is significantly less than 110.

Then, the null and alternative hypothesis are:

H_0: \mu=110\\\\H_a:\mu< 110

The significance level is 0.05.

The sample has a size n=10.

The sample mean is M=108.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.

The estimated standard error of the mean is computed using the formula:

s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{10}}=1.9

4. Then, we can calculate the t-statistic as:

t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{108-110}{1.9}=\dfrac{-2}{1.9}=-1.05

The degrees of freedom for this sample size are:

df=n-1=10-1=9

5. This test is a left-tailed test, with 9 degrees of freedom and t=-1.05, so the P-value for this test is calculated as (using a t-table):

\text{P-value}=P(t

As the P-value (0.1597) is bigger than the significance level (0.05), the effect is  not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the mean score is significantly less than 110.

7 0
3 years ago
Add. 7/4+9/-5 wrote your answer as a fraction in simplest form
IgorLugansk [536]

Answer:

7/4 + 9/-5 =

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7/4 - 9/5

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7/4 - 9/5 = 5(7) - 4(9)/ 20

Simplify

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35 - 36/20

= -1/20

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3 years ago
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Hello! When you want to find the result of 5m+2 subtracted from 9m would equal -2m. Hope this helps. :)
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