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malfutka [58]
2 years ago
9

Quadrilateral ABCD ​ is inscribed in this circle.

Mathematics
1 answer:
Lelechka [254]2 years ago
4 0

Answer:

m∠C = 122°

Step-by-step explanation:

Opposite angles of a quadrilateral inscribed in a circle are supplementary. This means

m∠A + m∠C = 180°

m∠B + m∠D = 180°

To find angle C we need to find x, then subtract m∠A from 180°

x+20=3x

20=2x

x=10

Now we substitute 10 in for x

m∠A=2(10)+38

m∠A=20+38

m∠A=58°

Now we subtract this value from 180.

m∠C=180-58

m∠C=122°

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The explanation for this problem is shown below:

1. Smplify the denominator and rewrite the numerator in this form:

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2. Multiply the denominator and the numerator by the conjugated (3+11i) and simplify the expression, as following:

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3 years ago
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ElenaW [278]

Answer:

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3 years ago
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Empty the 3-liter container, and then transfer the 2 liters from the 5-liter container into it.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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