Answer:
205
Step-by-step explanation:
Were gonna start by writing an equation (121+184+x)/3=170 because were adding a 3rd value to the average and x is going to be our value that were looking for. If you solve that, you get 205. Hope this helps.
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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The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
<h3>What is a mathematical model?</h3>
A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.
The model, which represent the cost of window in dollar, is,
C=(n²/5)+175
A window costs $355. Thus, C=355. Put this value in above model as,
355=(n²/5)+175
355-175=(n²/5)
180 x 5=n²
n=√(900)
n=30
Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
Learn more about the mathematical model here;
brainly.com/question/4960142
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