Answer:
The answer to your question is: first piece = 4 in, second piece = 8 in, third piece = 12 in
Step-by-step explanation:
Data
total length = 24 inches
first piece = x in
second piece = 2x
third piece = 3x
Equation
x + 2x + 3x = 24
6x = 24
x = 24/6
x = 4 length of the first piece
second piece = 2(4) = 8 inches
third piece = 3(4) = 12 inches
.)26
y=12x+120
y=12(26)+120
y=312+120
y=432 (No)
B.)34
y=12x+120
y=12(34)+120
y=408+120
y=528 (No)
C.)44
y=12(44)+120
y=528+120
y=648 (No)
D.)24
y=12x+120
y=12(24)+120
y=288+120
y=408 (Yes)
The other way is setting it equal to...
12x+120=408
Isolate the variable...
12x+120=408
-120 -120
12x=288
x=24
Thus (D) is you answer!
Hope this helps!
Points A, B, and C lie on a line.
Point A is between points B and C.
Starting at point A and going past point B, you have ray AB.
Starting at point A and going past point C, you have ray AC.
If you think of angle BAC, it is a straight angle of 180 degrees.
You have the two rays AB and AC forming a line and an angle.
