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creativ13 [48]
3 years ago
5

One leg of triangle is 7 inches longer than the other leg. The hypotenuse is 8 inches longer than the shorter leg. The perimeter

of the triangle is
Mathematics
1 answer:
mixas84 [53]3 years ago
7 0

Answer:

5 ; 12 ; 13

Step-by-step explanation:

Let :

Shorter leg = x

Other leg = x + 7

Hypotenus = x + 8

Recall:

Hypotenus² = opposite² + adjacent²

(x+8)² = x² + (x+7)²

x² + 16x + 64 = x² + x² + 14x + 49

x² - 2x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) +3(x - 5) = 0

(x + 3) = 0 ; x = - 3

(x - 5) = 0 ; x = 5

Side can't be negative ;

Hence,

x = shorter side = 5

Other side = x + 7 = 5 + 7 = 12

Hypotenus = x + 8 = 5 + 8 = 13

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Minchanka [31]

Answer: 6 km to 22 km !

Step-by-step explanation:

the distances from the school mall to bus station could be, in the worst case, 14+8=22 km apart, and in the best case 14-8=6 km apart

so the range is 6 km to 22 km !

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2 years ago
In 1980, there were 67 new productions on Broadway. In 1987, there were 31 new productions on Broadway. Find the average rate of
AlladinOne [14]
In 1980, there were 67 new productions on Broadway. In 1987, there were 31 new productions on Broadway. Find the average rate of change in the number of new productions.
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3 years ago
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Graph the line with slope 1/4 and y-intercept -8
kherson [118]

Solution: Below! ^^

Detailed explanation:

Hii! I'm sorry, I can't graph the line for you, but I'll try to give you the best possible explanation.

First, note that the question provides us with the info that the y intercept is -8. This is a very valuable piece of information!

This means that the line crosses the y axis (since it's the y intercept) at the point (0,-8). Plot it on the co-ordinate plane.

Next, this question also provides us with the fact that the slope of the line is 1/4. This is yet another valuable piece of information!

What this tells us is: from that point (0,-8), you need to go up 1 unit, then over 4, and so forth, until you obtain a line.

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5 0
1 year ago
Read 2 more answers
What do you want to find out? > The rate at which Bill puts shringles on a rood. What do you know? > Bill and Chip each fi
denis23 [38]

Answer:

  (a) b = (4/7)c

  (b) Bill: 40 shingles/hour; Chip: 70 shingles/hour

Step-by-step explanation:

Let b and c represent Bill's and Chip's rates in shingles per hour, respectively. Then we have ...

  7b = 4c

  c - b = 30 . . . . shingles per hour difference in rates

(a) Bill's rate in terms of Chip's rate can be found by dividing the first equation by 7

  b = (4/7)c . . . . . Bill's rate is 4/7 of Chip's rate

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(b) To find the rates, we can multiply the second equation by 7 and substitute using the first equation:

  7c -7b = 210

  7c -4c = 210

  c = 210/3 = 70

  b = (4/7)(70) = 40

Bill's rate is 40 shingles per hour; Chip's rate is 70 shingles per hour.

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3 years ago
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