Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees. What is the measure of arc Q R? 26° 52° 104° 128°
2 answers:
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
You might be interested in
Remark.
The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x
Comment
The red line's y intercept is (0,1)
The blue line's y intercept is (0,5)
Why
If the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y = 5*(1/3)^0 = 5*1 = 5
In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x
If you have choices, could you please list them? I may be giving you the right answer but not in the form required.
The easiest way to do this question is to graph it. Start with that.
The red line is y = (1/3)^x
The blue line is y = 5*(1/3)^x
Comment
The red line's y intercept is (0,1)
The blue line's y intercept is (0,5)
Why
If the x value is 0 then (1/3)^0 = 1
y = (1/3)^0 = 1 * 1 = 1 and for the blue graph
y = 5*(1/3)^0 = 5*1 = 5
In other words, in this set of equations, the 5 makes the y intercept 5 times larger than the 1 in front of y = (1/3)^x
If you have choices, could you please list them? I may be giving you the right answer but not in the form required.