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
I’m pretty sure it’s 6.5kg because if it was any less than that (eg 6.4kg) it would be rounded down to six rather than being rounded up to seven
You have the answer and need to work backwards using the equation given
A=1/2bh
A=130
b=26
Plug in these numbers to get
130=1/2(26)h
1/2(26)=13
130=13h
Divide both sides by 13
h=10 meters
The answer is 375 kilometers in 3 hours
10. 4:5....added = 9
4/9 (1800) = 7200/9 = 800 (red)
5/9 (1800) = 9000/9 = 1000 (green)
there were (1000 - 800) = 200 less red ones then green ones.
11. 7/4 = 21/r
cross multiply
(7)(r) = (4)(21)
7r = 84
r = 84/7
r = 12....Rod has 12 stickers
12. 14/4 = 3.5 eggs per cup
for 16 cups...16 * 3.5 = 56 eggs