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Morgarella [4.7K]
3 years ago
9

Solve for x. A) 11 B) 9 C) 6 D) 7

Mathematics
1 answer:
DIA [1.3K]3 years ago
8 0

Answer:

Step-by-step explanation:

Angle  BCA is inscribed in that circle.  The rule is that the inscribed angle is half the measure of the arc it intercepts.  The arc it intercepts is arc AB which measures 96 degrees.  That means that

4x+4=\frac{1}{2}(96) and

4x + 4 = 48 and

4x = 44 so

x = 11

Choice A is the one you want.

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Consider that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. If 1 ounce of cottage cheese is equivalent to 2
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Answer:

4.42 ounces.

Step-by-step explanation:

We have been given that a 1/2 cup serving of 1% cottage cheese is equivalent to 125 grams. 1 ounce of cottage cheese is equivalent to 28.35 grams.  We are asked to find the ounces in 1/2 cup serving.

We will use proportions to solve our given problem.

\frac{\text{Ounce}}{\text{Grams}}=\frac{1}{28.25}

Upon substituting our given values, we will get:

\frac{\text{Ounce}}{125}=\frac{1}{28.25}

\frac{\text{Ounce}}{125}\times 125=\frac{1}{28.25}\times 125

\text{Ounce}=4.42477876

Upon rounding to nearest hundredth, we will get:

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Why do you divide area of the circle by 2
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Answer:

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Step-by-step explanation:

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On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/
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Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

Speed=\dfrac{Distance}{Time}

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

2.5=\dfrac{d}{t}

2.5t=d      ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

4=\dfrac{d}{t-15}

4(t-15)=d      ...(2)

From (1) and (2), we get

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So, t=40 and d=100.

Now,

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So, the average speed is

\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}

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