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photoshop1234 [79]
3 years ago
15

What is the value of d? Assume that the line is a tangent to the circle.

Mathematics
2 answers:
motikmotik3 years ago
5 0

We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to 118^{0}.

Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

\measuredangle x=\frac{1}{2}m \widehat{ABC}

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

360^{0}-118^{0}=242^{0}

Now we will plug given values in our  formula,

d^{0}=\frac{242}{2}=121

Therefore, the measure of d is 121 degrees.


Lelechka [254]3 years ago
4 0
The measure of angle d is 1/2 measure of 118 (angle formed by a tangent and a chord theorem)
d=59degrees
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The minute hand on a clock is 9 centimeters long and travels through an arc of 252 degrees every 42 minutes. To the nearest tent
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Answer:

39.6 cm

Step-by-step explanation:

Applying

s = 2πrθ/360................ Equation 1

Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes

From the question,

Given: r = 9 cm, θ = 252°

Constant: π = 22/7 = 3.14

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4 0
3 years ago
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
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(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
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   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
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Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
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Step-by-step explanation:

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