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SVEN [57.7K]
3 years ago
9

what are the values of m∠abc, m∠cbf, and m∠dbe in the given figure? Explain or show your work. A good 55 points will go to the o

ne who actually explains everything and gets most of everything right.... Thank you.

Mathematics
1 answer:
vesna_86 [32]3 years ago
5 0

Step-by-step explanation:

m∠abc = m∠ebf = 58°

reason: vertical angles

m∠cbf = 180-m∠ebf = 180-58 = 122°

reason: Supplementary angles

m∠dbe = 90-m∠ebf = 90-58 = 32°

reason: complementary angles

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Allison is offered an annual salary of $24,500. What would be her biweekly gross pay? (Round to the nearest cent.) A. $2,041.67
bixtya [17]

Answer:

Option (B) is correct.

Allison biweekly gross pay is $942.31

Step-by-step explanation:

Given annual salary offered to Allison  = $24,500.

We have to calculate Allison biweekly pay that is pay Allison got for 2 weeks

To calculate biweekly we first find Allison weekly pay then multiply it by 2.

We know there are 52 weeks in a year.

So, weekly salary offered to Allison =\frac{24500}{52}=471.15(approx)

Biweekly salary will be = 2 × weekly salary

                                      = 2  × 471.15

                                       = 942.307(approx)

Thus, Allison biweekly gross pay is $942.31




6 0
3 years ago
Read 2 more answers
According to a company's website, the top 15% of the candidates who take the entrance test will be called for an interview. You
galben [10]

Answer:

The minimum score required for an interview is 77.252

Step-by-step explanation:

We solve this using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.

The z score of 85th percentile = 1.036

Mean = 70

Standard Deviation = 7

Minimum score = raw score = ???

Hence:

1.036 = x - 70/7

Cross Multiply

1.036 × 7 = x - 70

7.252 = x - 70

x = 70 + 7.252

x = 77.252

The minimum score required for an interview is 77.252

6 0
3 years ago
A farmer wants to build a rectangular garden 10ft long and 6ft wide. How many feet of fencing should he buy?
Lana71 [14]
He should buy 32 feet of fencing. I got 32 by just finding the perimeter or in other words adding 10+10+6+6 which equal 32. You would NOT do area or 10×6 because that would include that land within the fenced area and who wants 60 feet of fencing that you can't put anything in?

Good luck, hope that helped.
6 0
3 years ago
Solve for B.<br> A= 7/8(B+C)<br><br> PLS HELP ITS TIMED
ehidna [41]

Answer:

8/7A - C = B

Step-by-step explanation:

A= 7/8(B+C)

Multiply both sides by 8/7

8/7A = B + C

Subtract C

8/7A - C = B

7 0
3 years ago
Write the equation in the form Ax + By = C. Find an equation of a line passing through the pair of points (-7,3) and (-8,-9).
Illusion [34]

Answer:

  12x -y = -87

Step-by-step explanation:

You can start with the 2-point form of the equation of a line and manipulate it to give you the standard form.

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  12x -y = -87 . . . . . . make the leading coefficient positive (per standard form)

3 0
3 years ago
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