A__________B_______________C
AC = 120ft. and the ratio of AB:BC = 3:5, what is the length of AB?
How do i find this answer out i am confused. Could someone show me a step by step method of obtaining the answer. Thank you.
2006-09-30 13:25:47 · 5 answers · asked by Anonymous in Education & Reference ➔ Homework Help
The total length of line segment is 120ft. As it is divided in the ratio 3:5, let thelength of AB and BC be 3x and 5x respectively. Now form an equation in x.
3x + 5x = 120
8x = 120
x = 120/8
x = 15
Since length of AB is 3x
length of AB = 3 * 15
= 45ft.
2006-09-30 15:08:23 · answer #1 · answered by Apo 1 · 0⤊ 0⤋
I would like to challenge the previous person's answer. Let's use some basic algebra rather than random math. The correct way should be 3x + 5x = 120. Solve for x.
8x = 120
x = 120/8
x = 15
AB = 3 * 15 = 45 ft
BC = 5 * 15 = 75 ft
To check your answer: 3/5 = 0.6 -> 45/75 = 0.6
2006-09-30 15:08:28 · answer #2 · answered by techman2000 6 · 0⤊ 0⤋
AB would be (120 / 8) * 3 = 45 ft
2006-09-30 15:26:05 · answer #3 · answered by Calculus 5 · 0⤊ 0⤋
3/5 (yes 3/5ths or 3 divided by 5) times 120
that will get you your segment AB length.
3:5 is same as 3/5.
good luck
2006-09-30 13:46:17 · answer #4 · answered by bun223 3 · 0⤊ 0⤋
AB = AC - BC
AB + BC = 120
AB/3 = BC/5
BC = 5/3AB
AB + 5/3AB = 120
3AB + 5AB = 360
8AB = 360
AB = 360/8
AB = 45
BC = 45/3 * 5
BC = 75
75+45 = 120
2006-09-30 15:04:24 · answer #5 · answered by Poncho Rio 4 · 0⤊ 0⤋