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
Answer:
AB = 142
Step-by-step explanation:
If M is the midpoint, then AM = MB
6x+5 = 7x -6
Subtract 6x from each side
6x-6x+5 = 7x-6x -6
5 = x-6
Add 6 to each side
5+6 = x-6+6
11=x
We want to find AB
AB = 6x+5+7x-6
AB = 13x -1
= 13(11) -1
=143-1
= 142
Answer:
58
Step-by-step explanation:
remainder 2
Answer:
34
Step-by-step explanation:
Substitute 8 where there is an x
f (8)= 4(8) +2
= 32 +2
=34
