Yes, they will equal each other because the question says that the line is the perpendicular bisector of JK.
So,
25x-18=13x+90
12x=108
x=9
Now to find the length of JK, do 25(9)-18+13(9)+90
The answer is 414.
Answer:
The X intercepts would be -1 and 2
Answer:
- 9 nickels
- 12 dimes
- 6 quarters
Step-by-step explanation:
We are given relations between the number of each kind of coin and the number of quarters. So, it is convenient to write an equation in terms of the number of quarters.
Let q represent the number of quarters. The number of nickels is 3 more than that, so is (q+3). The number of dimes is 6 more than the number of quarters, so is (q+6). The total value of the coins, in cents, is ...
5(q +3) +10(q +6) +25q = 315
40q +75 = 315 . . . . . . . . . . . . . . collect terms
40q = 240 . . . . . . . . . subtract 75
q = 6 . . . . . . . . . divide by 40
q +3 = 9 . . . . number of nickels
q +6 = 12 . . . number of dimes
There are 9 nickels, 12 dimes, and 6 quarters in the collection.
There is no expansion of 15.95, it is quite simply 15.95