Answer:
<h3>
The father is 40 and the daughter is 20.</h3>
Step-by-step explanation:
x - the present age of the daughter
2x - the present age of the fathter
x - 10 - the age of the daughter ten year ago
2x - 10 - the age of the fathter ten year ago
Father is older than his dauther, so:
2x - 10 = (x - 10) + 20
2x - 10 = x - 10 + 20
2x - 10 = x + 10 {subtract x from both sides}
x - 10 = 10 {add 10 to both sides}
x = 20
2x = 2·20 = 40
Your proof is correct and very well done
Converse-if a line drawn frm one side of a triangle to the other side divides the 2 sides in equal ratio then the line is parallel to the third side.
Solution-
89.50/2 = 44.75
44.75 is the amount he spent to buy his nephew the pair of shoes.
Now, we are going to add the amount he spent for himself and his nephew together.
89.50 + 44.75= 134.25
134.25 is the amount he spent in total, now we need to find the final amount with sales tax included.
We can do this by multiplying the total price by .075
134.25 * .075 = 10.07 (I rounded this to the nearest hundredths because we are dealing with money)
Now we need to add the two number together.
134.25 + 10.07 = 144.32
Answer-
The total amount Kyle spent is $144.32
