Answer: B: 41, C: 68, D: 71.
Step-by-step explanation: A triangle's angles have to add up to 180 degrees for it to be considered a triangle. If you were to add up 71, 41, and 68, then it would equal 180 degrees. This means that out of all the other measurements, these are the three possible angle measures that can be used to make a triangle.
(I figured this out by taking 3 random sides from the list there and adding them up to see if they equal 180.)
Answer:
Bag of windflower bulbs costs $8.50
Package of crocus bulbs costs $17.60
Step-by-step explanation:
Let $x be the price of one bag of windflower bulbs and $y be the price of one package of crocus bulbs.
1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,
2x+5y=105
2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,
9x+5y=164.50
3. You get the system of two equations:
From the first equation
Substitute it into the second equation:
9x+105-2x=164.50
7x=164.50-105
7x=59.5
x=$8.50
So,
5y=105-2·8.5
5y=105-17
5y=88
y=$17.60
Answer: 19 macaroons
Step-by-step explanation:
Let's create an equation to represent this situation. Let x represent the number of macaroons that Em made.
33=x+x+5
33=2x+5
33-5=2x+5-5
28=2x
28/2=2x/2
14=x
This means that Em made 14 macaroons.
14+5=19
Therefore, Jim baked 19 macaroons.
So the slope intercept form is y=mx+b where m is slope and b is y intercept
so 16x+2y=12
subtract 16x from both sides
2y=12-16x
divide both sides by 2
y=-8x+6
slope is -8 and y intercept is 6
2f +4f +2 -3
combine the like terms to get 6f-1
so yes they are equivalent
2f+4f+2-3 at f=3 would also be 17
