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3 years ago

Which equation represents the perpendicular bisector of the given line segment?

Mathematics

2 answers:

In-s [12.5K]3 years ago

7 0

Answer:

Option D. $x=10$

Step-by-step explanation:

step 1

Find the midpoint of the given line segment

we know that

The formula to calculate the midpoint between two points is equal to

$M=(\frac{x1+x2}{2},\frac{y1+y2}{2})$

we have

$A(5,10),B(15,10)$

substitute the values

$M=(\frac{5+15}{2},\frac{10+10}{2})$

$M=(10,10)$

step 2

Find the equation of the perpendicular bisector

we know that

The equation of a perpendicular bisector is equal to the x-coordinate of the midpoint, because is a vertical line (parallel to the y-axis)

therefore

the equation is equal to

$x=10$

Leviafan [203]3 years ago

4 0

Answer:

Step-by-step explanation:

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In an effort to improve scores on college-entrance exams, the principal at a large high school chooses 35 students

denpristay [2]

Using the t-distribution, it is found that the test statistic for the hypotheses test is given by:

$t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}$

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, it i tested if the mean difference remains the same, that is:

$H_0: \mu = 0$

At the alternative hypotheses, it is tested if it has decreased, hence:

$H_a: \mu < 0$ .

<h3>What is the test statistic?</h3>

The test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.

$\mu$ is the value tested at the null hypothesis.

s is the standard deviation of the sample.

n is the sample size.

The parameters are given as follows:

$\overline{x} = -1.75, s = 7.12, n = 35$ .

Hence the test statistic is given by:

$t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{-1.75 - 0}{\frac{7.12}{\sqrt{35}}}$

More can be learned about the t-distribution at brainly.com/question/16162795

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2 years ago

I need help with 2 and 3

leonid [27]

The answer for 2 is 320 because you have to keep counting by 40's

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3 years ago

Homework Problem I Need help

lawyer [7]

Answer: 45 degrees

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

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GalinKa [24]

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3 years ago

Find c. Round to the nearest tenth.

mixer [17]

Answer:

Here,

150+10=180

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Answer is 18°

Step-by-step explanation:

So the round of nearest tenth is 18°

Hope it will help have a great day at school. ^_^

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3 years ago