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motikmotik
4 years ago
9

Two parallel lines are intersected by a third line so that angles 1 and 5 are congruent. Which statement is true about angles 3

and 5?

Mathematics
2 answers:
GenaCL600 [577]4 years ago
6 0

Answer: they are supplementary.

Step-by-step explanation:

olchik [2.2K]4 years ago
3 0
Answer: Angles 3 and 5 are supplementary.

This is because of the Same-Side Interior Angles Theorem, stating that if two parallel lines are cut by a transversal, the interior angles on the same side are supplementary (adding up to 180).
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choose the equation in point slope form for the line that is perpendicular to the given line and passing through the given point
alexdok [17]

We want to determine the equation in point slope form for the line that is perpendicular to the given line and passing through the point (5.6) .

The equation and the point is;

y=\frac{2}{3}x+9,(5,6)

We know that for two lines to be perpendicular, the product of their slopes should be -1.

Therefore, the slope of the perpendicular should be;

m=-\frac{1}{(\frac{2}{3})}=-\frac{3}{2}

The second condition is that the line must pass through the point (5,6) , to do thid, we write the equation of the line in point slope form which is;

y-y_1=m(x-x_{1_{}})

Inserting all values, we have,

y-6=.-\frac{3}{2}(x-5)

That is the final answer.

6 0
1 year ago
Erica is buying a $205,000 home. She has decided to purchase 2 points in order to lower her interest rate. The appraisal fee is
victus00 [196]
2 points=2%=0.02
205000×0.02=4,100 cost of 2 points

Closing costs is
4,100+450+575+600
=5,725....answer

Hope it helps!
8 0
3 years ago
Read 2 more answers
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10
steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • It measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, \mu = 70, \sigma = 3.

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

Z = \frac{X - \mu}{\sigma}

Z = \frac{67 - 70}{3}

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

Z = \frac{X - \mu}{\sigma}

Z = \frac{45 - 70}{3}

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0
2 years ago
Please help!! algebra<br> Find each value<br> 1. ∛x³<br> 2. 6³<br> 3. 10³
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5 0
3 years ago
Question 13 y-5x= -4
Julli [10]

Which variable are we solving for?

For y:

y= 5x-4/ 13


For x:

x= 13y+4/ 5



5 0
3 years ago
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