So first of all the triangle is flipped so the corresponding sides are a little confusing to see. Either way HJ and DF correspond meaning 9 and 12 correspond.
What's the relation? Well 9/12 is 3/4 so each side of the small one is 3/4 of the big one!
GH and CD correspond so 12 is 3/4 of CD
So set up this equation:
12 = 3/4*CD
Multiply by 4/3
16=CD
That's your answer for the first one^
Now finding the perimeter is just adding all the sides so we have two of the sides, 16 and 12 but we need to find the hypotenuse. We can do the same thing earlier just with the hypotenuse side!
15 = 3/4*FC
4/3 times both sides
20=FC
So just add 20 and 16 and 12 which is 48! 48 is your perimeter!
Hope that helps! :3
- mathwizzard3
Equation 1 for tickets sold:
$35x + $25y = $10,250
Equation 2 for quantity (number #) of tickets sold:
x + y = 350
Use substitution method:
y = 350 - x
35x + 25 (350 - x) = $10,250
35x + $8750 - 25x = $10,250
10x + $8750 = $10,250
- $8,750 -$8,750
10x = 1,500
x = 150
y = 350 - 150
y = 200
Check the answers:
$35 (150) + $25 (200) =
$5,250 + $5,000 = $10,250
One has to derive each length (please check):
EF = sqrt( 2^2 + 2^2 ) = 2*sqrt(2)
FG =3,
So, parallelogram's perimeter is 2*EF+2*FG = 4*sqrt(2)+6=11.66
Triangle:
AB = sqrt( 2^2 + 3^2) = sqrt(13)
BC= sqrt(1^2_5^2)=sqrt(26)
AC=sqrt(2^2+3^2) = sqrt(13)
Total = 12.31
Difference Triangle - Parallelogram = 12.31-11.66 = 0.65
What about the LAST one? :P
Answer: 33% is moisture content
Step-by-step explanation:
120kg - 80kg = 40kg
40 of 120 is %
Work:
40/120 = 0.33
0.33x100
= 33%