1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Georgia [21]
3 years ago
12

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

Mathematics
1 answer:
vekshin13 years ago
5 0

Answer:

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

You might be interested in
Seventeen equals thirty-one divided by p
frez [133]

Answer:

17 = 31/P

Step-by-step explanation:

5 0
3 years ago
Is 9.2 rational or irrational?
Vitek1552 [10]

Answer:

Rational number

Step-by-step explanation:

it's a decimal

6 0
3 years ago
There are three slices of pizza and two colas the bill came out to $6.00 how much is one slice of pizza and one cola?
amid [387]

Answer:

1.20

Step-by-step explanation:

This is a simple division equation.Three pizzas + 2 colas =5 items overall, do 6÷5, that equals 1.2 which means 1.20.So one slice and one cola are 1.20

5 0
4 years ago
AAST is dilated about the origin o to create ARST. Point Ris located at (3.9) and point R’ is
Slav-nsk [51]

The scale factor which used to perform the dilation was 0.4

Step-by-step explanation:

If point (x , y) is dilated about the origin by a scale factor k, then

  • Its image is point (kx , ky)
  • If k > 1, then kx > x and ky > y
  • If 0 < k < 1, then kx < x and ky < y

∵ Δ RST is dilated about the origin O to create Δ R'S'T'

- Assume that the scale factor is k

∵ Point R is (3 , 9)

∴ x = 3 and y = 9

∵ Point R' is (1.2 , 3.6)

∴ kx = 1.2 and ky = 3.6

∵ x = 3 and kx = 1.2

- Substitute x in kx to find k

∴ k(3) = 1.2

∴ 3k = 1.2

- Divide both sides by 3

∴ k = 0.4

To check your answer use the y-coordinates of R and R' to find k

∵ y = 9 and ky = 3.6

- Substitute the value of y in ky to find k

∵ k(9) = 3.6

∴ 9k = 3.6

- Divide both sides by 9

∴ k = 0.4

∴ The scale factor is 0.4

The scale factor which used to perform the dilation was 0.4

Learn more:

You can learn more about dilation in brainly.com/question/3552621

#LearnwithBrainly

5 0
3 years ago
gerald accepted a job as jazz pianist after being offered a $425 signing bonus l, if he makes $24 an hour, which equation models
lukranit [14]

Answer:

425+24x=y

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Math help,, please help !
    5·1 answer
  • Write a ratio value comparing 3 to a number, where the value of the ratio is greater than 3:5.
    15·2 answers
  • Let p: A number is greater than 25.
    6·2 answers
  • I need help with no. 11 &amp; 12. Pls show your work.
    5·1 answer
  • Ali received $30,588 last year. If monthly expenses were $2,167 and the remainder was saved , how much in total was saved last y
    9·1 answer
  • Write an equation that models the sequence 400, 200, 100, 50, ...
    10·2 answers
  • Find cos(405°) and sin(405°). Identify the measure of the reference angle.
    13·1 answer
  • Which angles are right?
    13·2 answers
  • 37 points! I need help on this at least by tomorrow! Please
    15·1 answer
  • Find the volume (m^3) of the rectangular prism. 5 m 10 m 4 m​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!