Explain why knowing a combination of four pairs of equal sides or equal angles guarantees one of the congruence relationships.

 $94.7°$9‍4.7° is the angle at the top

 In Alberta, ramps that are designed for people using mobility devices must meet certain safety requirments. One such requirment is that the angle between the ramp and the horizontal must be less than 4.8°. Explain whether or not the ramp below is acceptable. 

Determine the measrue of angle x in the diagram. Be sure to explain your reasoning.

how do you solve the following equation by completing the sqaure?

y= -x^2/90+4x/3

For the construction of a deck surrounding a bay window, Tricia must cut several boards at an angle of 120 degrees. Setting up her mitre saw, she sets an angle of 30 degrees. Will this cut the wood at the correct angle? if not, what angle should she use if her mitre saw can only be moved up to 90 degrees.

John wants to have $2000 in 3 years. The current rate of return for a high interest savings account is 2.8%, compounded annually.  How much must John invest now to have $2000 in 3 years?

Ahmed worked all summer for a bee farmer. Ahmed was paid $400.00 the first week. The farmer paid a $50.00 raise per week for each additional week of employment. Ahmed worked on the bee farm for 8 weeks before his first year of university began.

Ive figured a and b but im confused with question c and d. 

a. Write out the first three weeks of earnings. Is this an arithmetic or geometric sequence? Justify

b. Calculate how much Ahmed earned over the 8 weeks of summer.

c. The money Ahmed earned over the summer was used for miscellaneous expenses at university. At the start of the ninth week of school he had $3 000.00 in his bank account. How much money did Ahmed spend each week?

d. The school year is approximately 32 weeks long. Will Ahmed have enough money if he continues to spend his savings at the same rate?