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?

 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

   -9= -9

  4x =44

  4      4    

     x=11

length of BC is 11 + 3 = 14

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.

hit or miss i guess they never miss huh

step-by-step explanation:

you got a boyfriend i bet he doesnt kiss ya