Answer:
<u><em>The Father is currently 47 and the Son is 7</em></u>
Step-by-step explanation:
Let F and S be the present ages of Father and Son, respectively.
We are told that <u>(F-2) = 9(S-2)</u> [2 years ago, father age was nine times the son age]
We also learn that <u>(F+3) = 5(S+3)</u> [3 years later it will be 5 times only]
Take the first expression and isolate one of the variables (S or F). I'll isolate F:
(F-2) = 9(S-2)
F = 9S - 16
Now use this in the second expression:
(F+3) = 5(S+3)
((9S-16)+3) = 5(S+3)
9S-13 = 5S+15
4S = 28
S = 7
Since F = 9S-16,
F = 9*(7)-16
F = 47
<u><em>Father is 47 and Son is 7</em></u>
CHECK:
Was the father 9 times the age of his son 2 years ago?
Father would have been 45 and son 5. Yes, 9*5 = 45
In 3 years will he be 5 times older than his son? Yes, Father would be 50 and son would be 10. 5*(10) = 50
Answer:
A dot plot titled How many Hours do you Sleep at Night question mark going from 5 to 9. 5 has 2 dots, 6 has 3 dots, 7 has 4 dots, 8 has 3 dots, and 9 has 1 dot.
Step-by-step explanation:
Answer:
Step-by-step explanation:
#1. For lines l and m to be parallel, angles 3 and 6 would have to add up to equal 180. This is the Same Side Interior Angle Theorem.
For #2, angles 3 and 7 are corresponding, meaning they are in the same place in both angle groups. Because of this, they are congruent. That means that they equal one another.
If angle 3 is 4x + 12 and x = 15, then angle 3 = 72.
If angle 7 is 80 - x and x = 15, then angle 7 = 65. So if this is the case, the lines l and m are not parallel. In order for them to be parallel, angle 3 has to equal angle 7:
4x + 12 = 80 - x and we solve for the value of x that will make the lines parallel:
5x = 68 so
x = 13.6
