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NemiM [27]
3 years ago
8

Please help ASAP!!!!

Mathematics
1 answer:
tangare [24]3 years ago
4 0

Answer:

m<CAO = 56°

Step-by-step explanation:

Same-side interior angles are supplementary to each other, so take their sum and set them equal to 180 and solve for x:

2x + 3x + 40 = 180

5x + 40 = 180

5x = 140

x = 28

Plug x=28 into angle CAO:

CAO = 2(28) = 56°

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A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (
denis-greek [22]

Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

0.4x + 0.85y = 1080.... Equation 2

We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

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3 years ago
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