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4 years ago

Two parallel lines are crossed by a transversal.

Mathematics

2 answers:

emmasim [6.3K]4 years ago

6 0

Because both lines are parallel, if you add the 5x+5 to the 115 those would equal 180 degrees

so you have 5x+5 + 115 = 180

combine like terms:

5x + 120 = 180

subtract 120 from both sides

5x = 60

x = 60/5
x = 12

olchik [2.2K]4 years ago

6 0

Okay so (5x+5)+115 is going to equal 180.

1.) (5x+5)+115=180

The next steps is to isolate the x.

2.) 5x+120=180
3.) -120=-120
4.) 5x=60
5.) /5=/5
6.) x=12 degrees

Then, you check your work by plugging in the numbers.
7.) 5(12)+5+115=180
8.) 60+5+115=180
9.)180=180

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A local dairy farmer collects 490 gallons of milk from his cows. He keeps 1/35 of the milk for his own use, and sells the rest.

RideAnS [48]

Answer:

666.4 dollars per day

Step-by-step explanation:

Total milk farmer has is 490 gallons

He keeps 1/35 of 490 gallons

so he keeps = 1/35*490= 14 gallons

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Remaining milk = 490-14 = 476 gallons

1 gallon = 4 quart (conversion formula)

so 476 gallon = 4 * 476 = 1904 quart

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4 years ago

Justin earned $50 mowing yards and $19 washing cars. He wants to divide his money into 3 equal accounts.

blondinia [14]

Answer:

$23

Step-by-step explanation:

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2 years ago

How do i solve this problem?<br> Y=100+50x

gogolik [260]

Answer:

Step-by-step explanation:

to solve this you would subtract 100 from each side :

Y = 100+50x

-100 -100

-100= 50x

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4 years ago

We saw two distributions for triathlon times: N(Âµ = 4313, Ï = 583) for Men, Aged 30 - 34 and N(Âµ = 5261, Ï = 807) for the Wome

zzz [600]

Answer:

a) 3354 seconds

b) 6294 seconds

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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.

(a) The cutoff time for the fastest 5% of athletes in the men's group, i.e. those who took the shortest 5% of time to finish.

$\mu = 4313, \sigma = 583$

The cutoff for the shortest 5% is the 5th percentile, which is X when Z has a pvalue of 0.05. So X when Z = -1.645.

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

$-1.645 = \frac{X - 4313}{583}$

$X - 4313 = -1.645*583$

$X = 3354$

Cutoff of 3354 seconds.

(b) The cutoff time for the slowest 10% of athletes in the women's group.

$\mu = 5261, \sigma = 807$

The slowest 10% is the 10% that takes more time, so the cutoff is the 100 - 10 = 90th percentile, which is X when Z has a pvalue of 0.9. So X when Z = 1.28.

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

$1.28 = \frac{X - 5261}{807}$