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:
The length of the actual train's car is <u>67.5 feet.</u>
Step-by-step explanation:
Given:
The scale of a model train is 1 inch to 13.5 ft.
Now, to get the length of the actual car of the train.
Let the length of actual train's car be 
And, the length of the car of model train = 
<em>According to the scale of the model train, 1 inch is equivalent to 13.5 ft. </em>
<em>Thus, 5 inches is equivalent to </em><em />
Now, to get the length of actual train's car using cross multiplication method:
By cross multiplying we get:
Therefore, the length of the actual train's car is 67.5 feet.
Is the answer 7632? ithink i got it wrong ill check my answer
Answer: (-2/3 , 3) is the answer
The average fraction of students in the two classes who went on the field trip is 11/16
<h3>What is the average fraction of students in the two classes who went on the field trip?</h3>
The given parameters are:
Class 1 = 3/4
Class 2 = 5/8
The average is calculated as
Average = 1/2 * (Class 1 + Class 2)
So, we have
Average = 1/2 * (3/4 + 5/8)
Evaluate
Average = 11/16
Hence, the average fraction of students in the two classes who went on the field trip is 11/16
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