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scoray [572]
3 years ago
11

Explain why a +b=d.

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:a + b + c = 180 ( sum of angles in a triangle )

c + d = 180 ( adjacent angles are supplementary ), thus

a + b + c = c + d ( subtract c from both sides )

a + b = d

Step-by-step explanation:

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What is the area of 10 cm 3 cm 7 cm 18 cm
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Answer: 10 times 3 equals 30 and 7 times 18 equals 126. 126 plus 30 is 156 is the answer

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3 years ago
The aquarium has 3 more yellow fish than green fish. 60 percent of the fish are yellow. How many green fish are in the aquarium?
kompoz [17]

9514 1404 393

Answer:

  6

Step-by-step explanation:

If 60% are yellow, the other 40% are green. Then the difference between yellow and green is 60% -40% = 20% of the total number of fish. That difference also happens to be half of the number of green fish:

  20% = (1/2)(40%)

So, the number of green fish is 2×3 = 6.

_____

If you wanted to, you could write a couple of equations:

  y - g = 3

  y = 0.60(y +g)

Using the first equation to write an expression for y, we get ...

  y = g +3

Using this in the second equation, we have ...

  g +3 = 0.6(g +3 +g)

  g +3 = 1.2g +1.8 . . . . eliminate parentheses

  1.2 = 0.2g . . . . . . . .  subtract g+1.8

  1.2/0.2 = g = 6 . . . . . divide by 0.2

There are 6 green fish in the aquarium.

6 0
3 years ago
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DedPeter [7]
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3 years ago
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Answer:

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Step-by-step explanation:

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\bf \begin{array}{ccll} tasks&hours\\ \cline{1-2}&\\ 8&\frac{5}{6}\\\\ t&1 \end{array}\implies \cfrac{8}{t}=\cfrac{~~\frac{5}{6}~~}{1}\implies \cfrac{8}{t}=\cfrac{5}{6}\implies 48=5t \\\\\\ \cfrac{48}{5}=t\implies 9\frac{3}{5}=t

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3 years ago
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