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3 years ago

Find the value of x for which m || n A. 31 B.33 C. 39 D 41

Mathematics

1 answer:

Lorico [155]3 years ago

4 0

Answer:

HOPE I HELP YOU

ANY HELP AM ON IT

We are told that n and m are parallel.

The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.

180 - 105 = 75

The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.

75 = 3x - 18

93 = 3x

31 = x

Answer:

x = 31

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dybincka [34]

Answer:

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Step-by-step explanation:

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2 years ago

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3 years ago

Find the simple interest paid to the nearest cent for each loan amount, interest rate, and time.

myrzilka [38]

Answer:

I = $ 1,937.50

Equation:

I = Prt

Calculation:

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r = R/100 = 3.875%/100 = 0.03875 per year,

then, solving our equation

I = 10000 × 0.03875 × 5 = 1937.5

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The simple interest accumulated

on a principal of $ 10,000.00

at a rate of 3.875% per year

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Step-by-step explanation:

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3 years ago

Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are

schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

$S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36$

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

$z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012$

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

$E=\#weeks*P(S>120)=52*0.09012=4.68$

The nearest answer is C. 5 weeks.

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3 years ago

A scale on a map shows that 2 inches = 25 miles

ycow [4]

4.4 inches because once you add 2 and 2 you 50 then add ten and you get 60

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4 years ago