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In-s [12.5K]
3 years ago
14

Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is

a right angle
Mathematics
1 answer:
mihalych1998 [28]3 years ago
7 0

Answer:

We find half the measure of the central angle of the circle. Where the given shape is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle is proven. We show this as Angle BAC is a RA 360 is the measure of circle 360/2 = 180 the semi circle Angle BAC is 180/2 = 90 degree.

Step-by-step explanation:

Hope it helps you!

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Graph a line that contains the point (4,3) and has a slope 1/2
Roman55 [17]

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

We can find "b" substituting the slope and coordinates of the (4,3) into thte equation  y=mx+b, and then solving for "b":

3=\frac{1}{2}(4)+b\\\\3-2=b\\\\b=1

By definition, the line intersects the x-axis when "y" is zero.

Then, we need to substitute the y-intercept and y=0 into  y=mx+b and then solve for "x" in order to find the x-intercept:

0=\frac{1}{2}x+1\\\\-1(2)=x\\\\x=-2

Knowing the x-intercept and the y-intercept, we can graph the line (The graph is attached)

6 0
2 years ago
Read 2 more answers
The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit
jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

f(x) = \lambda e^{-\lambda x} ; x > 0

Here, \lambda = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean =  \frac{1}{\lambda}  

So,  22=\frac{1}{\lambda}  ⇒ \lambda=\frac{1}{22}

SO, X ~ Exp(\lambda=\frac{1}{22})  

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

    P(X\leq x) = 1 - e^{-\lambda x}  ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

        P(X < 30)  =  1 - e^{-\frac{1}{22} \times 30}

                         =  1 - 0.2557

                         =  0.7443

7 0
3 years ago
???????......????...??..??…??..?.?.?..​
alexgriva [62]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Trapezoid PQRS has been rotated to trapezoid P'Q'R'S'.
Shalnov [3]
I think it is 90
Hope this help you?!
4 0
2 years ago
Line CD passes through points C(3,-5) and D(6,0). What is the equation of line CD in standard form?
Serga [27]

Answer:

hope this helps

the explanation is in the picture

please like and Mark as brainliest

3 0
2 years ago
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