Answer:88
Step-by-step explanation:
A, B, C, E, and F
A because 2 and 6 are on the parallel line
B because 2 and 7 are alternate exterior angles
C because 4 and 8 are on the parallel line
E because 3 and 6 are alternate interior angles
F because 3 and 7 are on the parallel line
We know that the balloon ascends at the same constant rate, that means that after the penny drop is:
this comes from the fact that the initial height is 500 ft and that for each second the balloon ascends 10 feet.
Answer:
Step-by-step explanation:
G is the centeroid of the triangle. G splits AE in the ratio 2 : 1
AG : GE = 2 : 1
AG = 2x and GE = x
2x = 20
x = 20/2
x = 10
GE = 10 ; AG = 20
AE = 20+10 = 30
CG : GD = 2:1
CG = 2x and GD = x
2x = 10
x = 10/2
x = 5
GD = 5
BF = 30
BG : GF = 2 : 1
BG = 2x ; GF = x
BF = 30
BG + GF = 30
2x + x = 30
3x = 30
x = 30/3
x = 10
GF = 10
There are two unknowns in this problem. To start, let's assign variables to each of them. Let x be the age of Jacob and y be the age of Isaiah. Then, we formulate equations based on the relationships stated.
x = 7 + y --> eqn 1
x + y = 63 --> eqn 2
Substituting eqn 1 to eqn 2, then solve for x and y:
(7+y)+y = 63
7 + 2y = 63
2y = 63 - 7
2y = 56
y = 56/2
y = 28
x = 28 + 7 = 35
Therefore, Jacob is 35 years old, and Isaiah is 28 years old.