we know that
1) scale factor is equal to 
2) The ratio of the perimeters of the triangles is equal to the ratio of the measures of the sides
3) the longest side of ∆ABC=[scale factor]*the longest side of ∆DEF
the longest side of ∆ABC=
the longest side of ∆ABC=
units
the answer part a) is
the longest side of ∆ABC is units
Part b)
The ratio of the area of ∆ABC to the area of ∆DEF is equal to the scale factor squared
so
![[scale factor]^{2} =(\frac{1}{10})^{2} \\ \\ =\frac{1}{100} \\ \\ =0.01](https://tex.z-dn.net/?f=%20%5Bscale%20factor%5D%5E%7B2%7D%20%3D%28%5Cfrac%7B1%7D%7B10%7D%29%5E%7B2%7D%20%5C%5C%20%5C%5C%20%3D%5Cfrac%7B1%7D%7B100%7D%20%5C%5C%20%5C%5C%20%3D0.01%20)
therefore
the answer part b) is
The ratio of the area of ∆ABC to the area of ∆DEF is 
Answer:
answer below
Step-by-step explanation:
in 24 hours, the number of gallons in the tank decreased by <u>96 </u>gallons. This can be represented by the integer 54 so the change in the number of gallons in the tank is 4 gallons per hour.
hope this helped
Answer:
1.76
Step-by-step explanation:
Answer:
53
12 this is the answer .
Step-by-step explanation:
12n = 56 - 3
= 53
n = 53
12
The area of the parallelogram would be:
parallelogram area= length * width= 4*3=12
The area of the rectangle is count by multiplying the length and wide. In this picture, the length and wide is on diagonal line so you need to apply c^2= a^2+b^2 to find them.
length
length^2= a^2+b^2
length^2= 6^2+9^2
length^2= 117
length=√117
width
width^2= a^2+b^2
width^2= 2^2+3^2
width^2= 13
width= √13
rectangle area= length*width
rectangle area=√13*√117= √1521=39
Total area= 12+39= 51
