Answer is a because it is what it is jk didnt want to explain
The triangle angle-sum theorem says that all those angles added together equal 180. Therefore, 120+x+x+16=180 and 2x+136=180 and 2x=44. Therefore, x = 22, which is angle B.
A) Variance = 10.24
B) Standard Deviation = 3.2
One of the measurements of dispersion is the standard deviation, which is exclusively used for quantitative data. It aids in determining if the data's mean is a suitable measurement to reflect the core value.
TIME FREQUENCY(f) MIDPOINT(x) d d² fd fd²
0 - 0.9 43 0.45 -3 9 -129 387
1.0 - 1.9 17 1.45 -2 4 -34 68
2.0 - 2.9 19 2.45 -1 1 -19 19
3.0 - 3.9 18 3.45 0 0 0 0
4.0 - 4.9 14 4.45 1 1 14 14
5.0 -5.9 16 5.45 2 4 32 64
∑f = 127
∑fd = -136
∑fd² = 552
Standard Deviation = 
√4.35 - √1.15
Standard Deviation = 3.2
(SD)² = (3.2)² = 10.24
Variance = 10.24
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In a parallelogram, opposite angles are congruent.
This means that the four angles of the parallelogram are:
Moreover, the sum of the interior angles of a polygon with n sides is 180(n-2). So, the sum of the interior angles of a parallelogram is 360.
This means
And since 
, we have 
The correct order for bisecting angle ABC is F D E B C A. Option D
<h3>Steps in bisecting angles</h3>
The steps involved in bisecting angles are;
- Place compass point on the vertex of the angle (point B).
- Stretch the compass to any length that will stay OF the angle
- Swing an arc so the pencil crosses both sides (rays) of the given angle. You should now have two intersection points with the sides (rays) of the angle
- Place the compass point on one of these new intersection points on the sides of the angle. Stretch the compass to a sufficient length to place your pencil well into the interior of the angle, this should be within the rays of the angle
- Place an arc in this interior
- Without changing the span on the compass, place the point of the compass on the other intersection point on the side of the angle and make a similar arc. The two small arcs in the interior of the angle should be intersecting
- Connect the vertex of the angle (point B) to this intersection of the two small arcs
From the listed steps, the correct order for bisecting angle ABC is F D E B C A. Option D
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