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Lyrx [107]
1 year ago
14

Circle T is shown. Line segment Q S is a diameters. Point R is opposite of point T. Lines are drawn from points Q and S to point

R to form a right triangle. Angle Q R S is a right angle.
The measure of arc QS is (4x – 18)°.

What is the value of x?
40.5
49.5
94.5
180
Mathematics
1 answer:
Juliette [100K]1 year ago
8 0

The value of angle x of the given cyclic segment is; 49.5°

<h3>How to find the angle of an arc?</h3>

We are given the measure of the angle of  arc QS as (4x – 18)°

Now, to find the measure of arc QS, this angle is to be equal to 180° and as such;

Thus;

(4x – 18)° = 180°

4x - 18 = 180

4x = 180 + 18

4x = 198

x = 198/4

x = 49.5°

The angle subtended by the arc at the center of a circle with center C is the angle of the arc. It is denoted by. m AB, where A and B are the endpoints of the arc. With the help of the arc length formula, we can find the measure of arc angle.

The formula to measure the length of the arc is;

Arc Length Formula (if angle θ is in degrees); s = 2πr (θ/360°)

Arc Length Formula (if θ is in radians) s = ϴ × r.

Thus, the value of x of the given cyclic segment is; 49.5°

Read more about arc angle at; brainly.com/question/2005046

#SPJ1

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Grade 10 math anyone?
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Answer:

6 years

Step-by-step explanation:

Here,

I=60

P=200

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and we need to find T.

So using the formula I=PRT, we can find T by substituting the values

60 = (200)(0.05)T

60=10T

T=\frac{60}{10} = 6 years

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3 years ago
Determine the range of the following graph
Ierofanga [76]

Given:

The graph of a function is given.

To find:

The range of the graph.

Solution:

We know that, the domain is the set of input values and range is the set of output values.

In a graph, domain is represented by the x-axis and range is represented by the y-axis.

From the given graph it is clear that there is an open circle at (-8,-8) and a closed circle at (3,4). It means the function is not defined at (-8,-8) but defined for (3,4).

The graph of the function is defined over the interval -8. So, the domain is (-8,3].

The values of the function lie in the interval -8. So, the range is (-8,4].

Therefore, the range of the function are all real values over the interval (-8,4].

7 0
3 years ago
Rewrite without absolute value sign for different values of x: y=− 2x+5 + 2x−5 if x&lt;−2.5; if x&gt;2.5; if −2.5≤x≤2.5
valentina_108 [34]

Answer:

x<-2.5 =(2x+5)-(2x-5) 2. 5-5

3.0

Step-by-step explanation:

PLz make brainlestiset answer

4 0
3 years ago
Solve 3x + 23 + x = 7. x = −4 x = 4 x = −0.25 x = 0.25
Maksim231197 [3]
<h2>______________________________</h2><h2>Solve for x | Solution and Explanation </h2>

______________________________________________

Hello! So...

We are given the following:

Solve for x.

3x+23+x=7

====================

1. Group the like terms.

  • 3x+x+23=7

====================

2. Add similar elements (3x+x=4x).

  • 4x+23=7

====================

3. Subtract 23 from both sides.

  • 4x + 23 - 23 = 7 - 23

====================

4. Simplify.

  • 4x=-16

====================

5. Divide both sides by 4.

  • \frac{4x}{4} =\frac{-16}{4}

====================

6. Simplify.

  • x=-4 (aka. Option A)

====================

Hope this helps!

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