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Anvisha [2.4K]
2 years ago
11

What is m∠AEB? Enter your answer in the box.

Mathematics
1 answer:
avanturin [10]2 years ago
7 0
Angle AEB and angle CED are vertical angles, this means they equal each other, therefore we set their values as an equation and solve:

5x-10=3x+40
Subtract 3x to both sides
2x-10=40
Add 10 to both sides
2x=50
Divide both sides by 2
x=25

After we have gotten the value of x we can plug it in into the equation of angle AEB:

5x-10
Substitute x by 25
5(25)-10
Distribute
125-10
Substract
115

The measurement of angle AEB is 115

Hope it helped!, have a great day.
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The Bridal Shop bought a dress from a supplier for $105 wholesale and applied a 65% markup to the price. If a 7.5% sales tax wer
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Answer:

The correct answer is 149.00.

Step-by-step explanation:

Part = Percent • Whole

Adding a 65% markup to the original price of 105 is simply multiplying the price by the decimal form of the markup, then adding that to the original price. Next, you would find 20% of your sum by multiplying the sum by 0.20. Then you would find 7.5% of <em>that</em> and add this to the price.

Solve:

105 • 0.65 = 68.25                      Find 65% of 105

105 + 68.25 = 173.25                  Add the markup to the price

173.25 • 0.20 = 34.65                 Find the discount of the new price

173.25 - 34.65 = 138.60              Subtract discount from price

138.60 • 0.075 = 10.395             Find sales tax of new price (Or round to 10.40)

<u>138.60 + 10.395 = </u><u>148.995</u><u>         Add sales tax to new price (Or </u><u>149</u><u>)</u>

Because money only goes to the hundredths place, we can either start rounding to that place in the second to last step - rounding 10.395 to 10.40 - or we can round our answer - 148.995 rounds to 149. Either way, we will still get an answer of $149.00.

Hope this helps.

♥<em>A.W.E.</em><u><em>S.W.A.N.</em></u>♥

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Step-by-step explanation:

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