If B is the midpoint of AC, AC = CD. AB = 3x + 4, AC = 11x-17, and CE = 49, find DE.

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11

The measure of segment DE is 11.

Given:

See image in the attachment below showing the information given in the question.

Since B is the midpoint of AC, therefore:

Substitute

Solve for x

Divide both sides by 5

Find DE:

(Segment Addition Postulate)

Plug in the value of x

Substitute

Therefore the length of DE = 11.

Learn more about segments here:

link

The measure of segment DE is 11.

Given:

See image in the attachment below showing the information given in the question.

Since B is the midpoint of AC, therefore:

Substitute

Solve for x

Divide both sides by 5

Find DE:

(Segment Addition Postulate)

Plug in the value of x

Substitute

Therefore the length of DE = 11.

Learn more about segments here:

link

DE=11 UNITS

Step-by-step explanation:

Given AC=CD

And AC=2AB as B is the mid point of AC

Hence 2(3x+4)=11x-17

6x+8=11x-17

11x-6x=17+8

5x=25

x=5

Hence AC=11(5)-17= 55-17=38

AC =CD = 38

CE = 49

Hence DE = CE-CD= 49-38 = 11

units

DE=11 UNITS

Step-by-step explanation:

Given AC=CD

And AC=2AB as B is the mid point of AC

Hence 2(3x+4)=11x-17

6x+8=11x-17

11x-6x=17+8

5x=25

x=5

Hence AC=11(5)-17= 55-17=38

AC =CD = 38

CE = 49

Hence DE = CE-CD= 49-38 = 11

units

The answer is in the image 

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

The answer is in the image 

The answer is in the image 

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7