Supplementary angles have sum = 180
m<TUW = 31
m<TUV = 180 - 31 = 149
answer is 149 (last choice)
second picture:
answer is vertical angles (2nd choice)
The values x and y are determined when we use the substitution method.
y = x + 5
Apply eh value of y into the equation to solve for x.
3x + y = 25
3x + x + 5 = 25
Combine like terms
3x + x = 4x
4x + 5 = 25
-5 -5 4x = 20
4x/4 = 20/4
x = 20/4
x= 5
Now we know the value of x, and we need to solve for y.
y = x + 5
y = 5 + 5
y = 10
10 = 10
Now we know both of these values.
Answer:
x = 5
<span>y = 10</span>
Answer:
Step-by-step explanation:
x = 1/4
y = -x = -1/4
<span>The area to be determined is a segment of the circle.
Since central angle is 120 degrees and 120/360 = 1/3
area of sector of circle is (1/3)*36pi = 12pi
For the area of triangle, you can split it into 2 30-60-90 right triangles with sides 3:3sqrt3:6
thus base of triangle is 6sqrt3 and height is 3
Area = 1/2 * 3* 6sqrt3 = 9sqrt3 -->
segment area = 12pi - 9sqrt3</span>
