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3 years ago

Which of the following could be the sum of exactly three consecutive integers?

Mathematics

1 answer:

Alexeev081 [22]3 years ago

3 0

198 is your answer:

65+66+67 = 198

Hope I helped! You can pick me as brainliest if you want to.

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Given AB is tangent to circle C at point B, what is the circumference of circle C?

faltersainse [42]

<u>Given</u>:

Given that AB is a tangent to circle C.

The length of AB is (2r -1)

The length of AC is (r + 1) + r

The length of BC is r.

We need to determine the circumference of the circle C.

<u>Value of r:</u>

The value of r can be determined using the Pythagorean theorem.

Thus, we have;

$AC^2=AB^2+BC^2$

Substituting the values, we have;

$[(r+1)+r]^2=(2r-1)^2+r^2$

Simplifying, we have;

$(2r+1)^2=(2r-1)^2+r^2$

Expanding the terms, we get;

$4r^2+4r+1=4r^2-4r+1+r^2$

$4r^2+4r+1=5r^2-4r+1$

Simplifying the values, we have;

$4r=-4r+r^2$

Adding both sides of the equation by 4r, we get;

$8r=r^2$

$0=r^2-8r$

$0=r(r-8)$

Thus, $r=0 \ or \ r=8$

Since, the radius of the circle cannot be 0.

Hence, the radius of the circle is 8.

<u>Circumference of the circle:</u>

The circumference of the circle can be determined using the formula,

$C=2 \pi r$

Substituting r = 8, we get;

$C=2 \pi (8)$

$C=16 \pi$

Thus, the circumference of the circle is 16π

Hence, Option A is the correct answer.

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3 years ago

marcus scored 3/5 as many points as David soccer in a basketball game David scored 20 points how many points did Marcus score

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Answer:

(4,14) because both lines pass through it.

Step-by-step explanation:

A "solution" to a system of equations is simply a point that both lines pass through.

First image is the solution found through graphing and the second image is the solution found through substitution.

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HELP!!!! which graph doesn't NOT pass the vertical line test? Graph 1, 2, 3, or 4. I NEED HELP!!

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Paul and his friends average their test grades and find that the average is 95.The teacher announces that the average grade of a

lara31 [8.8K]

The averages did not match because of the number of grades calculated into the total average. Let's say for example that the teacher in this case has 25 students in her class. She would take the average of all 25 students' test grades. Let's say that Paul has 4 friends with whom he averaged his test grade. He has taken the average of 5 tests, whereas the teacher has calculated the total amount of student test scores (25). Paul and his friends may have done better on that particular test than the other 20 students in the class, explaining the average of 95 that he got. Other students who got B's or C's on that test pulled the total class average down, explaining the teacher's average of 83.

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