Answer:
Step-by-step explanation:
So, according to the law of Sines, we have
In our case, we have S and R, so...
And we want to isolate R...
the angle of R is then 75.90 degrees.
Answer:
We know that lines AB and CD are parallel because if you expand them, we know they will never touch.
Step-by-step explanation:
Answer:
x = 8
Step-by-step explanation:
Since < A and < B are vertical angles, then it means that they have the same measure.
Given that m < A = (3x - 21)°, and m < B = (2x - 13)°:
We can set up the following equation to solve for the value of x:
m < A = m < B
(3x - 21)° = (2x - 13)°
3x - 21 = 2x - 13
Subtract 2x from both sides:
3x - 2x - 21 = 2x - 2x - 13
x - 21 = -13
Add 21 to both sides to isolate and solve for the value of x:
x - 21 + 21 = -13 + 21
x = 8
We must verify if we have the correct value for x by plugging in 8 into the equality statement:
(3x - 21)° = (2x - 13)°
[3(8) - 21]° = [2(8) - 13]°
(24 - 21)° = (16 - 13)°
3° = 3° (True statement. This means that we have the correct value for x).
Therefore, the value of x = 8.
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Answer:
Step-by-step explanation:
Area of circle:
By using the area of a circle, we can get the area of a semicircle:
Let's convert the mixed fraction to an improper fraction and then a decimal:
= 
= 
Now, we solved for the diameter, to get the radius, we need to divide the diameter by 2:
Now we have the radius, so we can plug in our values and find the area:
