Answer:
EG = 16 and FH =22
Step-by-step explanation:
We know that the diagonals of a parallelogram bisect each other
so 2a = 3b+2
and 2a+3 = 6b-1
We know have a system of equations to solve
2a = 3b+2
2a+3 = 6b-1
Subtract 3 from each side
2a+3-3 = 6b-1-3
2a = 6b -4
Now we can set the 2 equations equal ( 2a = 3b+2 and 2a = 6b -4)
3b+2 = 6b-4
Subtract 3b from each side
3b-3b+2 = 6b-3b-4
2 = 3b-4
Add 4 to each side
2+4 = 3b-4+4
6 = 3b
Divide by 3
6/3 = 3b/3
2 =b
We want to find a
2a = 3b+2
Substitute in b=2
2a = 3(2) + 2
2a = 6+2
2a =8
Divide by 2
2a/2 =8/2
a = 4
Now that we know a and b
EG = 2a + 3b+2
= 2(4) + 3(2)+2
= 8+6+2
= 16
FH = 2a+3 + 6b-1
= 2(4) +3 +6(2)-1
= 8+3+12-1
= 23-1
= 22
To find the answer, we can first find the age of Rolando in four year:
17+4
=21
We can then proceed to find the current age of Marisa,which is 3/2 of Rolando’s age calculated above:
Let Marisa’s age be y.
3/2 y =21
y = 21 × 2/3
y = 42/3
y = 14
Therefore Marisa is currently 14 years old.
In three years, Marisa would be:
14+3
=17
Therefore, she will be 17 years old.
Hope it helps!
Answer:
The answer is B (9)
Step-by-step explanation:
Count the distance.
Answer:
x=$59.69
Step-by-step explanation:
We can create a proportion to find the answer.
Thus, we get 4 hr/$39.79=6 hr/$x.
Cross multiplying gives us 4x=238.74, and solving for x gives us $59.685.
We can round to $59.69.
