Answer:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of the sides.
a. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
side in F: 10
corresponding side in G: 5
ratio of lengths of F to G = 10/5 = 2
ratio of areas of G to F: (2)^2 = 4
b. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
side in G: 5
corresponding side in B: 5/2
ratio of lengths of B to G = (5/2)/5 = 1/2
ratio of areas of B to G: (1/2)^2 = 1/4
c. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
side in B: 5/2
corresponding side in F: 10
ratio of lengths of F to B = 10/(5/2) = 4
ratio of areas of F to B: (4)^2 = 16
Do the same for the other 3 pairs of triangles.
The answers are:
d. 1/9
e. 4/9
f. 9/16
Let x = John's age now
half of what johns age was 4 years ago: (1/2)(x-4)
is equal to one third of what it will be in 5 years time: (1/3)(x+5)
(1/2)(x-4) = (1/3)(x+5)
3(x-4) = 2(x+5)
3x - 12 = 2x + 10
Answer:
-110x
Step-by-step explanation:
Simplify
22x(-9 + 4)
22x(-5)
Then multiply the numbers and you get your answer.
Well -5/8 as a decimal would be -0.625.
So, the order would be -0.615 -0.62(0) and then -5/8 (or -0.625).
You could easily search up 5/8 as a decimal :)
