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disa [49]
3 years ago
5

Circle A is shown. Tangents L M and N M intersect at point M outside of the circle. Arc L N is 270 degrees. In the diagram of ci

rcle A, what is m? 75° 90° 120° 135°

Mathematics
2 answers:
luda_lava [24]3 years ago
5 0

Answer:

\angle m=90^o

Step-by-step explanation:

The picture of the question in the attached figure

we know that

The measurement of the external angle is the half-difference of the arches that comprise

so

\angle m=\frac{1}{2}(major\ arc\ LN-minor\ arc\ LN)

Remember that the sum of the major arc and a minor arc is equal to 360 degrees

we have

major\ arc\ LN=270^o ----> is given

so

minor\ arc\ LN=360^o-270^o=90^o

substitute the values

\angle m=\frac{1}{2}(270^o-90^o)=90^o

Serga [27]3 years ago
5 0

Answer:

B

Step-by-step explanation:

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The drama department was considering two options for the winter production. They used the following equations to represent the p
stellarik [79]

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

8 0
3 years ago
Find the distance between the points (0,-2) and (-8,-8)
Ostrovityanka [42]

Answer:

Distance between the points = 10 units

Step-by-step explanation:

Given points:

(0,-2) and (-8,-8)

To find the distance between the two points.

Solution:

Applying distance formula to find the distance between the points.

For points (x_1,y_1) and (x_2,y_2) the distance is given as:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plugging in the given points in the formula.

d=\sqrt{(-8-0)^2+(-8-(-2))^2}

d=\sqrt{(-8)^2+(-8+2))^2}

d=\sqrt{(-8)^2+(-6)^2}

d=\sqrt{64+36}

d=\sqrt{100}

d=\pm10

Since distance is always positive. So d=10 units.

3 0
3 years ago
A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday�s mail. In actuali
Softa [21]

Answer:

P(Y = 0) = 0.09

P(Y = 1) = 0.4

P(Y = 2) = 0.32

P(Y = 3) = 0.19

Step-by-step explanation:

Let the events be:

W = Wednesday

T = Thursday

F = Friday

S = Saturday

Their corresponding probabilities are

P(W) = 0.3\\P(T) = 0.4\\P(F) = 0.2\\P(S) = 0.1

Since Y = number of days beyond Wednesday that it takes for both magazines to arrive(so possible Y values are 0, 1, 2 or 3)

The possible number of outcomes are therefore 4^2 = 16\\(W, W), (W, T), (W, F), (W, S)\\(T, W), (T, T), (T, F), (T, S)\\(F, W), (F, T), (F, F), (F, S)\\(S, W), (S, T), (S, F), (S, S)

The values associated for each of the outcomes are as follows:

Y(W, W) = 0, Y(W, T) = 1, Y(W, F) = 2, Y(W, S) = 3\\Y(T, W) = 1, Y(T, T) = 1, Y(T, F) = 2, Y(T, S) = 3\\Y(F, W) = 2, Y(F, T) = 2, Y(F, F) = 2, Y(F, S) = 3\\Y(S, W) = 3, Y(S, T) = 3, Y(S, F) = 3, Y(S, S) = 3

The probability mass function of Y is,

P(Y = 0) = 0.3(0.3) = 0.09\\P(Y = 1) = P[(W, T) or (T, W) or (T, T)]\\= [0.3(0.4) + 0.3(0.4) + 0.4(0.4)]\\= 0.4\\\\P(Y = 2) = P[(W, F) or (T, F) or (F, W) or (F, T) or (F, F)]\\= [0.3(0.2) + 0.4(0.2) + 0.2(0.3) + 0.2(0.4) + 0.2(0.2)]\\= 0.32\\\\P(Y = 3) = P[(W, S) or (T, S) or (F, S) or (S, W) or (S, T) or (S, F) or (S, S)]\\= [0.3(0.1) + 0.4(0.1) + 0.2(0.1) + 0.1(0.3) 0.1(0.4) + 0.1(0.2) + 0.1(0.1)]\\= 0.19

7 0
3 years ago
Choose the algebraic expression that best represents the situation.
Igoryamba

Answer:

524 divided by n

524 ÷ n

524/n

5 0
3 years ago
Consider the following set of equations: Equation R: −3y = −3x − 9 Equation S: y = x + 3 Which of the following best describes t
gregori [183]

Answer:

infinite solutions.

Step-by-step explanation:

they both represent the same equation.

There are infinite points on a st. line.

7 0
3 years ago
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