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FinnZ [79.3K]
3 years ago
6

Lin and Noah are solving the equation 7(x + 2) = 91

Mathematics
1 answer:
lidiya [134]3 years ago
4 0
Lin: 7x+14=91, 91-14=7x, 77=7x, divide each side by 7, x=11
noah: x+2=91/7, x+2=13, subtract 2 from both sides, x=11
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The length of one base of a trapezoid is 19 less than five times the length of the other base. If the trapezoid has a height of
RoseWind [281]

The length of longer base is 41 feet

<em><u>Solution:</u></em>

<em><u>The area of trapezoid is given as:</u></em>

A = \frac{a+b}{2} \times h

Where , "a" and "b" is the length of base and "h" is the height

The length of one base of a trapezoid is 19 less than five times the length of the other base

a = 19 less than fives times b

a = 5b - 19

Height of 18 feet and an area of 477 ft squared

h = 18 feet

area = 477 square feet

<em><u>Substitute the values in above formula</u></em>

477=\frac{5 b-19+b}{2} \times 18\\\\477=(6b-19) \times 9\\\\477 = 54b-171\\\\54b = 648\\\\b=12

Therefore,

a = 5b - 19 = 5(12) - 19 = 41

Thus length of longer base is 41 feet

5 0
3 years ago
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Alex777 [14]
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Hope this helps :)
5 0
4 years ago
Please help ASAP !!!
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3 years ago
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Read 2 more answers
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Dennis_Churaev [7]

Answer:

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Step-by-step explanation:

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5 0
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