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
skelet666 [1.2K]
3 years ago
10

In the accompanying diagram of circle O, chords AB and CD intersect at E. If AE = 3, EB = 4, CE = x, and ED = x + 1, find. CE.

Mathematics
1 answer:
NemiM [27]3 years ago
8 0

Answer:

CE = 3

Step-by-step explanation:

Given:

AE = 3

EB = 4

CE = x

ED = x + 1

Required:

CE

Solution:

First we need to determine the value of x by generating am equation as follows:

CE × ED = AE × EB (Interacting Chords Theorem)

Substitute

x × (x + 1) = 3 × 4

x² + x = 12

Subtract 12 from each side

x² + x - 12 = 12 - 12

x² + x - 12 = 0

Factorize to find the value of x

x² + 4x - 3x - 12 = 0

x(x + 4) -3(x + 4) = 0

(x - 3)(x + 4) = 0

x - 3 = 0

x = 3

Or

x + 4 = 0

x = -4

Let's use the positive value of x

CE = x = 3

You might be interested in
Will give brainliest Question on the picture
raketka [301]

Answer:

12

Step-by-step explanation:

since i helped can i have brainlist please :D

3 0
3 years ago
If m angle B=m angle D=34 , A what must m angle C be to prove quadrilateral ABCD is a parallelogram?
eimsori [14]
A is the answer
180-34= 146
7 0
3 years ago
Jim thinks that the value of a baseball card can be modeled by a decay formula and that the value will decrease at a rate of 0.2
Sindrei [870]

Answer: $244.55

A = $250  ;  r=0.002   t= 11   [From 2007 to 2018 , t=2018-2007]

6 0
1 year ago
If the image below is dilated with a scale factor of 2, what is the perimeter of the dilated image?
garri49 [273]

Answer:

the answer is 24

Step-by-step explanation:

i got it correct on my test

8 0
3 years ago
The price of a sweatshirt at a local shop is twice the price of a pair of shorts. The price of a T-shirt at the shop is $4 less
fomenos

Answer:

The answer to your question is below

Step-by-step explanation:

Equation 1

                            $sweatshirt = 2 pair of shorts

                                    <u>  w = 2h</u>

Equation 2

$t-shirt = $pair of shorts  - $4

                                <u>      t = h - 4</u>

Equation 3

Total cost = 3 sweatshirts + 2 pairs of shorts + 5 t-shirts

<u>Total cost = 3w + 2h + 5t = 136 </u>    

5 0
4 years ago
Read 2 more answers
Other questions:
  • Cuál es el producto de 45.37 y 26.8​
    8·1 answer
  • The sum of two numbers is twice their difference. the larger number is 6 more than twice the smaller. find the numbers.
    5·1 answer
  • Laura estimated the total cost of attending a private four-year university using the information in the table. Category Estimate
    13·2 answers
  • What is 52/65 in simplest form?
    5·1 answer
  • If a = 2, b = 4 and c = 5, then what is the value of this expression? 5a + 3c - 2b
    15·1 answer
  • eight wooden spheres with radii 3 in. are packed snugly into a square box 12 in. on one side. the remaining space is filled with
    8·1 answer
  • Using appropriate properties, find −
    9·1 answer
  • I need not just the answer but the work written out
    7·1 answer
  • Find Q, I'm not sure if it is possible however.
    9·1 answer
  • The plane flies from Melbourne to Tokyo at an average speed of 783 km/h The distance from Melbourne to Tokyo is 8352 km. The pla
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!