Answer:
16 cups.
Step-by-step explanation:
A cup is 8 ounces, and a gallon is 128 ounces.
Answer:
{(12-4) + (15-8)}x = 65
Step-by-step explanation:
The amount Amber earns per week
12-4
The amount Nathan earns per week
15 -8
The total amount per week they earn together
(12-4) + (15-8)
Multiply by x weeks
{(12-4) + (15-8)}x
Set this equal to 65 to be the amount they need to equal 65 dollars
{(12-4) + (15-8)}x = 65
Answer:
Shorter leg = 20 cm.
Longer leg = 21cm.
Hypotenuse = 29 cm
Step-by-step explanation:
Let the shorter leg be x cm long
Then longer leg = x + 1 and hypotenuse = x + 9 cm long
So by Pythagoras:
x^2 + (x + 1)^2 = (x + 9)^2
0 = x^2 + 18x + 81 - x^2 - (x^2 + 2x + 1)
x^2 + 18x + 81 - x^2 - x^2 - 2x - 1 = 0
-x^2 + 16x + 80 = 0
x^2 - 16x - 80 = 0
(x - 20)(x + 4) = 0
So x = 20 (we ignore the negative root).
So longer leg = 20 + 1 and hypotenuse = 20 + 9.
Answer:
a dilation and translation
Step-by-step explanation:
we know its a dilation because the lines of congruency are in the same area but the triangles are of different sizes
we know it's a translation because the triangles are in two different places instead of having something overlap
