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3 years ago

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle O? You must show all your work.

Mathematics

1 answer:

likoan [24]3 years ago

4 0

Answer:

88 deg

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. That means that the sum of the measures of angles O and Q is 180 deg.

2x + 2x + 4 = 180

4x + 4 = 180

4x = 176

x = 44

m<O = 2x = 2(44) = 88

Answer: 88 deg

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Each week Charlene uses 3/4 of a bag of cat food to feed her cats. She has 112 bags of cat food in stock. How long will her stoc

inessss [21]

The stock of cat food will last for 149 weeks.

Step-by-step explanation:

Given,

Bags of cat food in stock = 112

Bags used each week = $\frac{3}{4}\ of\ one\ bag$

Let,

x be the number of weeks.

Therefore,

$\frac{3}{4}x=112$

Multiplying both sides by 4/3

$\frac{4}{3}*\frac{3}{4}x=112*\frac{4}{3}\\x=\frac{448}{3}\\x=149.33$

Rounding off to nearest whole number;

x=149

The stock of cat food will last for 149 weeks.

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Step-by-step explanation:

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Step-by-step explanation:

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