Points A, B, C, and D lie on line segment AD. If AB = x, BC = x + 3, CD = twice the length of BC, and AD = 53, what is the value

Question

alekssr [168]

3 years ago

6

Points A, B, C, and D lie on line segment AD. If AB = x, BC = x + 3, CD = twice the length of BC, and AD = 53, what is the value

of x? What is the length of BC?

Mathematics

2 answers:

kirza4 [7] · Answer 1 · 2022-05-25T07:11:24+03:00

kirza4 [7]3 years ago

6 0

Point A the beginning of line and point D end of the line segment
So ,x+x+3 +2(x+3)=53
2x+3+2x+6=53
4x+9 =53
4x =44
x=11
length of BC is 2(11+3)=28

Nataly [62] · Answer 2 · 2022-05-25T08:45:44+03:00

Answer:

x=11, BC = 14

Step-by-step explanation:

Points A, B, C, and D lie on line segment AD. If AB = x, BC = x + 3, CD = twice the length of BC, and AD = 53, what is the value of x? What is the length of BC?

AB=X AB=11

BC=X + 3 BC= 11 + 3= 14

CD= 2(X + 3) CD= 2(11 + 3)= 28

11+14+28=53

AD= 53

X + X + 3 + 2(X + 3) =53

2x+3+2x+6=53

4x+9 =53

4 4

x=11

length of BC is 11 + 3 = 14