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
Answer:
x =
Step-by-step explanation:
Given
-
=
← factor denominator
-
=
[ x ≠ 0, x ≠ - 1 as these would make the terms undefined ]
Multiply through by x(x + 1)
4x² - 5(x + 1) = 4
4x² - 5x - 4 = 4 ( subtract 4 from both sides )
4x² - 5x - 9 = 0 ← in standard form
(x + 1)(4x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
4x - 9 = 0 ⇒ 4x = 9 ⇒ x =
However, x ≠ - 1 for reason given above, then
solution is x =