Answer:
The slope of the line is 
.
Step-by-step explanation:
We are given two coordinate points:
We are asked to find the slope of the line.
We can use the rise-over-run formula to solve for the slope of the line.
However, we firstly need to name our coordinate points.
In math, we can label our coordinates using the following label system:
Therefore, we can also label our coordinates as such:
Now, we can supply these values into the formula and solve for our slope, or a better known variable, <em>m</em>.
Therefore, our slope is .
The area of the sector is given by the equation,
A = πr²(x / 360°)
where x is the number of degrees in the figure.
25π ft² = (πr²)(60/360)
The value of r is 12.25 ft. Then, we use this value to calculate for the circumference of the sector.
C = 2πr(x/360)
Substituting,
C = 2π(12.45)(60/360)
C = 12.83 ft³
Answer:
x=-13
Step-by-step explanation:
-104 divided by 8 to isolate x
The measure of angle BOC is 41 degrees
<h3>How to determine the measure of BOC?</h3>
The angles are given as:
<AOD = (5x - 4)° and BOC = (4x + 5)°
The angles are vertical angles.
So, we have:
(5x - 4)° = (4x + 5)°
Remove the bracket
5x- 4 = 4x + 5
Collect the like terms
5x - 4x = 4 +5
Evaluate the like terms
x = 9
Substitute x = 9 in BOC = (4x + 5)°
BOC = (4 * 9 + 5)°
Evaluate
BOC = 41°
Hence, the measure of angle BOC is 41 degrees
Read more about vertical angles at:
brainly.com/question/14362353
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<u>Complete question</u>
Lines ac and bd intersect at point o. If <AOD = (5x - 4)° and BOC = (4x + 5)°, what is <BOC?
839/40 = 20.975
Scientifically speaking in numbers there is no termination existing numbers are round of but technically speaking it TERMINATES
