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SIZIF [17.4K]
3 years ago
10

I am trying to remember how to do Write a two-column proof,

Mathematics
1 answer:
Klio2033 [76]3 years ago
4 0

9514 1404 393

Explanation:

Make use of the properties of equality.

  a = 2b +6 . . . . . given

  a = 9b -8 . . . . . given

  2b +6 = 9b -8 . . . . . . . substitution property of equality

  6 = 7b -8 . . . . . . . . . . . subtraction property of equality

  14 = 7b . . . . . . . . . . . . . addition property of equality

  2 = b . . . . . . . . . . . . . . . division property of equality

  b = 2 . . . . . . . . . . . . . . symmetric property of equality

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EleoNora [17]

we know that

Total\  employment\  compensation=gross\  pay+employee\  benefits-job\  expenses

in this problem

Total\  employment\  compensation=33,500\ dollars

gross\  pay=28,600\ dollars

job\  expenses=0

Step 1

Find the total employee benefits

Let

EC------> total employment compensation

EB--------> total employee benefits

GP------> gross pay

JE------> job expenses

EC=GP+EB-JE

33,500=28,600+EB-0\\ EB=33,500-28,600\\ EB=4,900\ dollars

Step 2

Find the percentage of the total employee benefits

we know that

total employee benefits is equal to 4,900\ dollars

gross pay is equal to 28,600\ dollars

by proportion

\frac{28,600}{4,900} =\frac{100}{x} \\ \\ x*28,600=100*4,900\\ \\ x=\frac{100*4,900}{28,600}

x=17.1%

therefore

the answer is the option

d. 17.1


4 0
3 years ago
Read 2 more answers
Past the core
Basile [38]

Answer:

Building's shadow length = 180 feet.

Step-by-step explanation:

Given:

A 50-foot flagpole is at the entrance of a building that is 300 feet tall.

Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.

From similar triangle property we can say that.

⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building

Or

\frac{length\ of\ the\ building\ shadow}{height\ of\ the\ building} =\frac{length\of\ the\ flagpole's\ shadow}{height\ of\ the\ flagpole's}

Plugging the values in the above equation we have,

Let length of the building shadow ='x' feet

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⇒ \frac{x}{300}\times 300 =\frac{30}{50}\times 300

⇒ x=\frac{300\times 30}{50}

⇒ x=\frac{9000}{50}

⇒ x=180 feet.

So the length of the building shadow is 180 feet.

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Answer:

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I think that this is correct

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