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
Area= (3 √(3) × s^2) ÷ s
s= side length
area=(3 √(3) × 16^2) ÷ 16
area= 83.1384387633
Step-by-step explanation:

Answer:
Look below
Step-by-step explanation:
In Adam's expression, d represents the original price of the game. 0.75d represents 75% of the original price; this is the amount of the discount, since everything is 75% off. Taking the difference of the original price and the discount, d-0.75d, gives us the total price of the game. In Rena's expression, 0.25 represents 25%. This is because taking 75% off of the price means we still pay 100-75 = 25% of the original price. Multiplying the original price, d, by the 0.25, gives us 25% of the original price; this is the total price.