Answer:
X=151
Step-by-step explanation:
1. 61+90= 151
-Combine the two given angles
2.180-151= 29
-Subtract the total of the two combined from 180 because all 3 angles of a triangle add up to 180.
-29 is your difference which is also the angle next to X.
3.180-29= 151
-To find angle X you subtract 29 from 180 because angle X and 29 are supplementary angles that add up to 180.
-Therefore X=151
To find equivalent expressions,
distribute the first one and
factor the second one.
I believe the answer is B
<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>
