In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
Given that:
mArc R V = mArc V U,
Angle S O R = 13 x degrees
Angle T O U = 15 x - 8 degrees
<h3>How to calculate the angle TOU ?</h3>
∠SOR = ∠TOU (Vertically opposite angles are equal).
Therefore:
13 x = 15x - 8
Subtracting 13x from both sides
13x - 13x = 15x - 8 - 13x
0 = 15x - 13x - 8
2x - 8 = 0
Adding 8 to both sides:
2x - 8 + 8 = 0 + 8
2x = 8
2x/2 = 8/2
x = 4
∠SOR = 13x
= 13(4)
= 52°
∠TOU = 15x - 8
= 15(4) - 8
= 60 - 8
= 52°
Let a = mArc R V = mArc V U
Therefore:
mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)
Substituting:
a + a + 52 = 180
2a = 180-52
2a = 128
a = 128/2
a= 64°
mArc R V = mArc V U = 64°
In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.
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Answer:
6.0042
Step-by-step explanation:
6 and forty-two ten-thousandths as a decimal.
mixed number : 
decimal : 6.0042
The percentage is 85 percent
Answer:
1/3 is the simplified answer
Answer:
6. <u> (2x - 1) </u>
(3x + 2)
8. <u> y - 3 </u>
y² - 3y + 9
Step-by-step explanation:
6. <u> 2x² + 9x - 5</u>
3x² + 17x + 10
= <u>(2x - 1) (x + 5)</u>
3x² + 17x + 10
= <u>(2x - 1) (x + 5)</u>
(3x + 2) (x + 5)
= <u> (2x - 1) </u>
(3x + 2)
8. <u>y² - 9 </u>
y³ + 27
= <u> (y + 3) (y - 3)</u>
y³ + 27
= <u> (y + 3) (y - 3) </u>
(y+3) (y² - 3y + 9)
= <u> y - 3 </u>
y² - 3y + 9
