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
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Hello!
First, let's write the problem.

Apply the distributive property on the left side of the equation.

Add like terms.

Let's plug that in into the original equation.

Add 4 to both sides.


Divide both sides by 5.

Our final answer would be,

You can feel free to let me know if you have any questions regarding this!
Thanks!
- TetraFish
Answer:
-8
Step-by-step explanation:
First we need to find the slope of CD.
We know C is (-10, -2)
and we know D is (10,6)
If we use the slope formula, we can see the slope is 

We can see point F is at (6,-4)
We can find the equation of this line by using point slope form, and plugging in F as our point.

To find where E, we need to find the y value when x = -4

Answer:
Factoring the expression
completely we get 
Step-by-step explanation:
We need to factor the expression
completely
We need to find common terms in the expression.
Looking at the expression, we get
is common in both terms, so we can write:

So, taking out the common expression we get: 
Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

So, we get:

Therefor factoring the expression
completely we get 
95% of red lights last between 2.5 and 3.5 minutes.
<u>Step-by-step explanation:</u>
In this case,
- The mean M is 3 and
- The standard deviation SD is given as 0.25
Assume the bell shaped graph of normal distribution,
The center of the graph is mean which is 3 minutes.
We move one space to the right side of mean ⇒ M + SD
⇒ 3+0.25 = 3.25 minutes.
Again we move one more space to the right of mean ⇒ M + 2SD
⇒ 3 + (0.25×2) = 3.5 minutes.
Similarly,
Move one space to the left side of mean ⇒ M - SD
⇒ 3-0.25 = 2.75 minutes.
Again we move one more space to the left of mean ⇒ M - 2SD
⇒ 3 - (0.25×2) =2.5 minutes.
The questions asks to approximately what percent of red lights last between 2.5 and 3.5 minutes.
Notice 2.5 and 3.5 fall within 2 standard deviations, and that 95% of the data is within 2 standard deviations. (Refer to bell-shaped graph)
Therefore, the percent of red lights that last between 2.5 and 3.5 minutes is 95%