Answer:
h =14
Step-by-step explanation:
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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Answer:
g(4) = 12
Step-by-step explanation:
We need to find the value the function g(x) when x = 4, that is;
g(4)
In the first definition of the function, the value of x is strictly less than 4. Consequently, we shall use the second definition of the function to evaluate g(4)
In the second definition, g(x) is given as;
Q(x) = 0.5x + 10
plug in x = 4 and simplify;
Q(4) = 0.5(4) + 10
Q(4) = 12
<span>Let x be
additional food item the homeroom B should collect to have greater item per student than
homeroom A.</span>
(22 +24 + x) /
16 > (30 + 42 + 21) /24
(22 +24 + x)
> 3.875 (16)
X > 16
<span>So they should
collect more than 16 food item to have a greater item per student</span>
The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle m∠K is 102° so option (B) is correct.
<h3>What is a triangle?</h3>
A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are 3 sides and three angles in every triangle, some of which may be the same.
Triangle is a very common figure to deal with in our daily life.
It is known that the sum of all three angles inside a triangle will be 180°.
So, m∠A + m∠B + m∠C = 180°
m∠C = 180° - 58° - 44°
m∠C = 78°.
The exterior angle of C = 180- 78 = 102°.
Hence "The sum of all interior angles of a triangle is 180° thus the measure of the exterior angle to m∠K is 102°".
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