Answer:
Step-by-step explanation:
Let points D, E and F have coordinates 
and 
1. Midpoint M of segment DF has coordinates
2. Midpoint N of segment EF has coordinates
3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.
Answer:
Friend 1: $11.53 Frind 2: $5.21 Friend 3: $5.21
Step-by-step explanation:
15.63/3=5.21
One friend pays for the rest.
1.29*3=$3.87=drinks
salad=$2.45
5.21+3.87+2.45=11.53
Answer:
x³/4z²
Step-by-step explanation:
Invert and multiply:
48x^5y²/12z^5 x z³/16x²y²=
(48x^5y²)(z³)/(16x²y²)(12z^5)
the y² cancel out
48÷16=3 (on top)
x^5÷x²=x³
12z^5/z³=z²(on bottom)
This leaves a 3x³ on top and 12z² on the bottom. 3÷12=4 (on bottom):
3x³/12z²
x³/4z²
Answer: 4x+y=567, x+y=279, where x=96 and y=183. X represents the large bags and y the small bags
Explanation: We know that our two totals are 279 and 567, so they will be on their own sides of the equation.
The number of large bags (x) plus the number of small bags (y) equals 279 bags in total.
As it relates to price, the price of the large bags (4x) plus the price of the small (y) gives us $567.
