Question

answer please?? I gotta go to sleep :(

Answer 1

Problem please? I gotta go to sleep too :-)

Answer 2

:) it would help soo much

Answer 3

It's a simple proportion. Because the triangles are proportional, 6 is to 36 as x+3 is to 63+x. What value of x makes 6(x+3) = 63+x?

Answer 4

36?

Answer 5

No...

6(x+3) = 63+x
6x + 18 = 63 + x
x = ?

Answer 6

Oh! 3?

Answer 7

No again, are you really tired? :-)

6x + 18 = 63 + x
Subtract x from both sides and subtract 18 from both sides:

6x - x + 18 - 18 = 63 + x - x - 18
5x = 45

Final chance: x = ?

Answer 8

yeah Iam :( how do you subtract x?

Answer 9

All I was doing was collecting like terms. As long as you add or subtract the same value from both sides of the equation, it still holds true. To solve 6x + 18 = 63 + x, I moved the x from the right side to the left, which gave me 5x + 18 = 63, and then I moved the 18 from the left to the right which gave me 5x = 63-18 = 45. Now I divide both sides by 5 to give me x = 45 / 5 = 9. If we test our answer (always a good idea!), we see that 6(9+3) = 63 + 9 or 6(12) = 72. Even late at night we agree that 72 = 72, so our answer fits (assuming we set up the right equation).

Answer 10

Ohhhhh..so the answer is just 72?

Answer 11

that makes perfect sense! :)

Answer 12

No....the answer is x = 9. The 72 was the value of 63 + x and 6 (x + 3).

Answer 13

Ohhhh :)

Answer 14

thank you soooooo much!!! :D

Answer 15

Remember, we were trying to find the value of x which made the sides be proportional in a ratio of 6:36 (or 1:6). The corresponding sides with x were (x+3) and (63+x). We needed to find a value of x that made (x+3):(63+x) be 6:36. If we plug x=9 in, we get (9+3):(63+9) = 12:72 and that's the same ratio as 1:6 or 6:36.