Answer:
1)y=-2x+3
2)Y=-3/5x-6
3)y=1/4x+8
4)M=2
5)y=5x-1
6)M=-5/6
Step-by-step explanation:
Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.
1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.
According to this theorem,

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

Take positive value x. You get

2. According to the previous theorem,

Then

Answer: 
This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

This means that you cannot find solutions of this equation. Then CD≠2 cm.
Answer:
14. 70% of 20000 is 14000. 25% of 14000 is 3500. 3500 students applied.
15. The percentage of 4000 that 2600 equates to would be 65%.
16. 4% of 33000 is 1320.
16b. Double of 1320 is 2640.
17. 3% of 110 + 275 + 200 + 145 is 21.9. 97% of that is 711.1. Total is 730.
18. There are 1656 men working. Total of 1380 + 1656 is 3036. Two ways to solve this are:
Honestly I can't think of two. Sorry, my brain is completely fried today.
19. 760 in sales commissions to meet the wage amount.
20. The agency gets 21010. 30% of that is 6303. This is explained by owning a calculator or simple value elimination.