The measures of the angles don't change when you translate a figure, because the entire figure is moving as a whole. Imagine having a paper parallelogram, moving it around and flipping it over. Not even dilations would change these angles (for reasons that can be pretty easily visualed but not really proven until geometry)
(a)
we are given
the price of apple suddenly up by $0.75
Let's assume original price be 'p'
we are given
Sam bought 3 pounds of apple at the new price total is $5.88
so, new price = old price +0.75
price of 3 apples 
we are given that price is 5.88
so, we get equation as
.......Answer
(b)
Since, original price is p
so, we have to solve for p




so, original price is $1.21 per pound........Answer
Answer:
answer 60
Step-by-step explanation:
The LCM(12, 20) = 60.
Answer:
See attachment for graph
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Step-by-step explanation:
Given

Required
Graph the relationship between both parameters
First, calculate the area;


This implies that: (2, 120) i.e. 2 cans for 120ft^2.
So we have:
(0,0) and (2,120)
(0,0) implies that: 0 cans for 0 square feet
Calculate the slope:




The equation is:

So, we have:



<em>See attachment for graph</em>
Answer:
Dimensions of original room = 12 x 12 feet.
Explanation:
Let the size of old square room be a x a.
New dimension = ( a+4 ) x ( a + 6 )
We have area of the new room will be 144 square feet greater than the area of the original room.
So, ( a+4 ) x ( a + 6 ) = a x a + 144
a²+10a+24= a²+144
10a = 120
a = 12 feet.
Dimensions of original room = 12 x 12 feet.