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sdas [7]
3 years ago
11

In the figure to the right, ABCD is a rectangle. Find the area of △ABC, if the area of △AOD is 10.

Mathematics
1 answer:
ehidna [41]3 years ago
5 0
Assuming BOD and AOC are straight lines.

Area of the rectangle = 4 x ΔAOD
Area of the rectangle = 4 x 10
Area of the rectangle = 40 unit²

Area of ΔABC = 1/2 x 40 
Area of ΔABC = 20 unit²
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A chemist has two alloys, one of which is 15% gold and 20% lead and the other which is 30% gold and 50% lead. How many grams of
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Answer: 490 grams of the first alloy should be used.

30 grams of the second alloy should be used.

Step-by-step explanation:

Let x represent the weight of the first alloy in grams that should be used.

Let y represent the weight of the second alloy in grams that should be used.

A chemist has two alloys, one of which is 15% gold and 20% lead. This means that the amount of gold and lead in the first alloy is

0.15x and 0.2x

The second alloy contains 30% gold and 50% lead. This means that the amount of gold and lead in the second alloy is

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If the alloy to be made contains 82.5 g of gold, it means that

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The second alloy would also contain 113 g of lead. This means that

0.2x + 0.5y = 113 - - - - - - - - - - - - -2

Multiplying equation 1 by 0.2 and equation 2 by 0.15, it becomes

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Subtracting, it becomes

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Substituting y = 30 into equation 1, it becomes

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0.15x + 9 = 82.5

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x = 490

6 0
3 years ago
Can someone please help me
mrs_skeptik [129]

Step-by-step explanation:

5x=4x+12(corresponding angle)

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3 years ago
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Step-by-step explanation:

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Step-by-step explanation:

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