Answer:
11 is the answer
Step-by-step explanation:
Answer:
It is correct.
Step-by-step explanation:
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.
Learn more about angles here:
brainly.com/question/2882938
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The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
<h3 /><h3>What are inequalities?</h3>
Inequalities are expressions separated by the mathematical inequalities ≤, ≥, < and >
For instance a < b is a form of inequality.
<h3>What is a number line?</h3>
A number line is a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
From the given number line, we can see that closed circles are on -4 and -1. The inequality written in interval notation is therefore -4<x<-1 or (-4, -1)
Learn more on inequality here: brainly.com/question/24372553
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Step-by-step explanation:
EF = 4x - 15
FG = 3x - 7
EG = EF + FG = 20
so,
4x - 15 + 3x - 7 = 20
7x - 22 = 20
7x = 42
x = 6
EF = 4×6 - 15 = 9
FG = 3×6 - 7 = 11
