Answer:
Part 1) The length of the longest side of ∆ABC is 4 units
Part 2) The ratio of the area of ∆ABC to the area of ∆DEF is 
Step-by-step explanation:
Part 1) Find the length of the longest side of ∆ABC
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor
The ratio of its perimeters is equal to the scale factor
Let
z ----> the scale factor
x ----> the length of the longest side of ∆ABC
y ----> the length of the longest side of ∆DEF
so

we have


substitute

solve for x


therefore
The length of the longest side of ∆ABC is 4 units
Part 2) Find the ratio of the area of ∆ABC to the area of ∆DEF
we know that
If two figures are similar, then the ratio of its areas is equal to the scale factor squared
Let
z ----> the scale factor
x ----> the area of ∆ABC
y ----> the area of ∆DEF

we have

so


therefore
The ratio of the area of ∆ABC to the area of ∆DEF is 
Answer:
20
Step-by-step explanation:
40 - 15 = 25
25/1.25=20
Volume = length * width * height
Each asterisk * refers to the multiplication symbol
The volume of the cube is equal to the length times width times height
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Example:
Consider a cube that has length, width and height each equal to 4 cm
Volume = length * width * height
Volume = (4 cm) * (4 cm) * (4 cm)
Volume = (4*4*4) cubic cm
Volume = 64 cubic cm
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Another example:
We have a rectangular prism that has the following dimensions
length = 4 ft
width = 3 ft
height = 5 ft
Computing the volume gets us:
Volume = length * width * height
Volume = (4 ft) * (3 ft) * (5 ft)
Volume = (4*3*5) cubic ft
Volume = 60 cubic ft
Answer:
A
Step-by-step explanation:
Work with the two points
Formula
m = (y2 - y1)/(x2 - x1)
Givens
y2 = 3
y1 = 1
x2 = - 2
x1 = - 5
Solution
m = (3 - 1) / (-2 - - 5)
m = 2 / (-2 + 5)
m = 2 / 3
Answer: A
80 divided by 15 Is =5.333333 which I don’t know how to round it but it would be around 5 at least