Answer:
See explanation
Step-by-step explanation:
Consider triangles ACM and BCM. In these triangles,
- given;
- definition of perpendicular lines CM and AB;
- reflexive property.
So,
by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).
Two-column proof:
Statement Reason
1.
Given
2.
Given
3.
Definition of perpendicular lines CM and AB
4.
Reflexive property
5.
ASA postulate
<em>Convert percentage to fraction by dividing by 100</em>
16 2/3 = 16 2/3 ÷ 100 = 1/6
16 2/3 % of 96 = 1/6 x 96 = 16
<span>Ans: 16 2/3 % of 96 lamps = 16</span>
Answer:
![a^{3} \sqrt[]{a}](https://tex.z-dn.net/?f=a%5E%7B3%7D%20%5Csqrt%5B%5D%7Ba%7D)
Step-by-step explanation:
Given that,
Total cost function, C (x) = 43x + $1850
The revenue function R (x) = $80x
To find,
The number of units that must be produced and sold to break even.
Solution,
At break even, cost = revenue
43x + $1850 = $80x
Subtract 80x from both sides.
43x + 1850 -80x = $80x -80x
1850 = 80x-43x
37x = 1850
x = 50
So, the required number of units are 50.