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3 years ago

Need help with this geometry assignment due soon pls smart people help and show work

Mathematics

1 answer:

Mamont248 [21]3 years ago

5 0

Answer:

1) 20 degrees. 2)60 degrees. 3)30 degrees

Step-by-step explanation:

For number 1, there are 180 degrees in a triangle. Since we already know all the measures, we can just make an equation.

90+31+3x-1=180

120+3x=180

-120 -120

3x=60

x=20

for number 2, the traingle must be equilateral because they all have the same measure. That's why it's 60 because 60*3=180

Last one:

Same as 1st one. Make an equation: x+3x+2x=180

Combine like terms

6x=180

x=30

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For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

jeka57 [31]

Answer:

Devon has the lower z-score, so he was faster relative to his gender.

Step-by-step explanation:

Z - score

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

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

The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who ran the mile faster relative to their gender?

Who runs in less time the mile is faster, so whoever has the lower z-score is faster relative to their gender.

Devon participates in the intramural program for men. His best time to run the mile is 6.6 minutes.

For men, these times are approximately normal with mean 8 minutes and standard deviation 1 minute.

So we have to find Z when $X = 6.6, \mu = 8, \sigma = 1$

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

$Z = \frac{6.6 - 8}{1}$

$Z = -1.4$

Kendall participates in the intramural program for women. Her best time to run the mile is 5.7 minutes.

For women, these times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.

So we have to find Z when $X = 5.7, \mu = 7.5, \sigma = 2$

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

$Z = \frac{5.7 - 7.5}{2}$

$Z = -0.9$

Devon has the lower z-score, so he was faster relative to his gender.

5 0

3 years ago

What is the next term for the given arithmetic sequence?<br><br> -3, -2.25, -1.5, -0.75, ...

11Alexandr11 [23.1K]

Common difference = 0.75
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3 years ago

One third of the sum of a number and four

STatiana [176]

Answer:

$\frac{1}{3} (n+4)$

That is what the expression would be

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3 years ago

tim brought a car 25000 and it depreciation $350 per year. What is the value of the car after 6 years?

blondinia [14]

Answer:

22900

Step-by-step explanation:

multiply 350 by 6 and get 2100

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3 years ago

Read 2 more answers

A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners

Vlada [557]

Answer:

The measures of the angles at its corners are $59.1\°,35.4\°,85.5\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

$185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)$

$2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}$

$cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))$ $cos(A)=0.513953$

$A=arccos(0.513953)=59.1\°$

step 2

Find the measure of angle B

Applying the law of cosines

$125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)$

$2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}$

$cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))$ $cos(B)=0.81489$

$B=arccos(0.81489)=35.4\°$

step 3

Find the measure of angle C

Applying the law of cosines

$215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)$

$2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}$

$cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))$ $cos(C)=0.0784$

$C=arccos(0.0784)=85.5\°$

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3 years ago