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2 years ago

Which of the following arcs are congruent in the circle below?

Mathematics

1 answer:

BartSMP [9]2 years ago

8 0

Answer:

Step-by-step explanation:

CB is congruent to AB because the both are 30 degrees

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Help or else i’ll fail

Georgia [21]

The answer is equilateral

8 0

2 years ago

(9,3) and (-4,-7) whats the slope

omeli [17]

Answer:

10/13

Step-by-step explanation:

-7-(3)

----------

-4-(9)

3 0

2 years ago

Read 2 more answers

Point AA is located at (9,−2). What is the location of the image after a translation along ⟨5,−3⟩ and reflected in the y-axis.

Veronika [31]

(9, -2) translated (x + 5, y - 3) => (14, -5)
(14, -5) reflected across the y-axis =>
(- 14, - 5)

6 0

2 years ago

If the quadratic equation x2+18x+74=0 is rewritten in the form (x−p)2=q, what is the value of q?

PilotLPTM [1.2K]

Answer:

Step-by-step explanation:

<u>Quadratic equation</u>

The quadratic equation can be written in several ways, one of the most-used is

$ax^2+bx+c=0$

To rewrite the equation in the form

$(x-p)^2=q$

we can complete squares and rearrange the terms as follows. The provided equation is

$x^2+18x+74=0$

The second term can be seen as

$2(x)(9)$

And the first two terms can be visualized as the square of a binomial

$x^2+2(x)(9)+81-81+74=0$

We have added and subtracted 81 to complete the square and not modify the equation. The new form of the equation is

$(x+9)^2-7=0$

Rearranging

$(x+9)^2=7$

Comparing with the general form written above, we find that

$\boxed{q=7}$

3 0

3 years ago

The following table gives the scores of 30 students in a mathematics examination. Scores 90–99 80–89 70–79 60–69 50–59 Students

Pavel [41]

The given data is
Scores: 90-99 80-89 70-79 60-69 50-59
Students: 3 7 12 4 4
Because we are to take the middle value for each group.
Therefore the total score is
Sx = 3*94.5 + 7*84.5 + 12*74.5 + 4*64.5 + 4*54.5 = 2245
The number of students is 3+7+12+4+4 = 30

The mean is
m =2245/30 = 74.833

Calculate (Sx - m)²
(Sx - m)² = 3*(94.5-74.833)² + 7*(84.5-74.833)² + 12*(64.5-74.833)²
+ 4*(64.5-74.833)² + 4*(54.5-74.833)² = 3896.7

Calculate the standard deviation
s = √(3896.7/29) = 11.592

Answer:
mean = 74.83
std. deviation = 11.59

6 0

3 years ago