Answer:
(x-3,y+5)
Step-by-step explanation:
5 units up would be written as: 
.
3 units to the left would be 
.
The rule that describes the translation of 5 units up and 3 units to the left would be:
Answer: 32 cups of milk
Step-by-step explanation:
The first thing to do is to convert the gallons of milk to milkshakes so that you are able to convert easier to cups.
There are 128 ounces in 1 gallon and Monica has 2 gallons. The amount of milk Monica has in ounces is:
= 128 * 2
= 256 ounces
Each cup is capable of holding 8 ounces and there are 256 ounces available so the number of cups of milk is:
= 256 / 8
= 32 cups of milk
<u>Question 11</u>
1) 
, 
(given)
2) 
(reflexive property)
3) 
(ASA)
4) 
(CPCTC)
<u>Question 12</u>
1) Isosceles 
with 
, 
(given)
2) 
(angles opposite congruent sides in a triangle are congruent)
3) 
and 
are supplementary. 
and 
are supplementary (angles that form a linear pair are supplementary)
4) 
(supplements of congruent angles are congruent)
5) 
(SAS)
6) 
(CPCTC)
7) 
is an isosceles triangle (a triangle with two congruent sides is isosceles)
<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>
Answer:
1) Slope: 3; y-intercept: -7
2) Slope: 2/3; y-intercept: 1
Step-by-step explanation:
y = mx + b; m is slope and b is y-intercept
1. y = 3x - 7
The equation is already in slope-intercept form, so you can find the slope and intercept.
Slope: 3
y-intercept: -7
2. y - 1 = 2/3x
For this one, you have to convert this into slope-intercept form (solving for y)
y - 1 = 2/3x
Add 1 to both sides
y - 1 + 1 = 2/3x + 1
y = 2/3x + 1
Now that the equation is in slope-intercept form, you can get the slope and y-intercept.
Slope: 2/3
y-intercept: 1
I know that angle 2 and 10 are corresponding. That is question 2 I'll keep looking and comment as I figure them out.
