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3 years ago

The sketch shows two parallel lines cut by a transversal. Angle 1 is 58° . What is the measure of angle 7 ?

Mathematics

2 answers:

vovangra [49]3 years ago

7 0

We know that
∠1=∠5------------> by corresponding angles are congruent
so
∠5=58°

and
∠5+∠7=180----------> by supplementary angles
so
∠7=180-∠5--------> 180-58--------> 122°

the answer is ∠7=122°

aniked [119]3 years ago

6 0

Answer: 122

Step-by-step explanation: its right on imagine math (ttm)

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Sati [7]

Answer:

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Step-by-step explanation:

Let's add up the flat rate and the cost of four tires:

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In 2008 election there was 28 blue states and 22 red states express the red and blue states as fractions in lowest terms of the

Basile [38]

Let's start with the blue states. Out of 50 states, 28 of them were blue.
Therefore, the fraction would be 28/50. Let's reduce it.
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Answer:

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

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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