You need to find the prime factors of each term in order to find the greatest common factor.
The answer is 3.
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:
1 & 7
Step-by-step explanation:
I guessed. Good Luck!
Answer:
m∠WUV = 23°
Step-by-step explanation:
m∠TUW and m∠WUV must add up to m∠TUV
Step 1: Set up equation
m∠TUW + m∠WUV = m∠TUV
8x + 7 + 4x - 1 = 78
Step 2: Solve for <em>x</em>
12x + 6 = 78
12x = 72
x = 6
Step 3: Find m∠WUV
m∠WUV = 4x - 1
m∠WUV = 4(6) - 1
m∠WUV = 24 - 1
m∠WUV = 23°
Answer:
A
Step-by-step explanation:
Because its the right answer
