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
notsponge [240]
3 years ago
10

AC and DB are chords that intersect at point H.

Mathematics
2 answers:
valentinak56 [21]3 years ago
7 0

Answer:

16 units

Step-by-step explanation:

see the attached figure to better understand the problem

Applying  the Intersecting Chords Theorem

we have that

AH*HC=DH*HB

substitute the given values

(20-x)(x)=(x+4)(12-x)

20x-x^2=12x-x^2+48-4x

Simplify

20x=8x+48

20x-8x=48

12x=48

x=4

Find out the length of segment DB

DB=DH+HB

DB=(x+4)+(12-x)=16\ units

<em>Note</em> In this problem it was not necessary to determine the value of x to calculate the DB segment.

Anyway, the calculation was done for didactic purposes.

marusya05 [52]3 years ago
3 0

The length of line segment DB is 16 units

<h3>Explanation: </h3>

The Intersecting Chords Theorem or chord theorem states that when two chords are intersecting within a circle, the product of their respective segments is equal. This also a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords in a circle. It states that the products of the lengths of the line segments on each chord are equal.

AC and DB are chords that intersect at point H as shown in the figure below.

The intersection definition is, if the intersection happened of two sets A and B it is denoted by A ∩ B. It is the set  that contains all elements of A that also belong to B, and nothing else. An intersection is a single point where two lines meet or cross each other.

AH*HC=DH*HB\\ (20-x)*(x)=(x+4)*(12-x)\\ 20x-x^{2} =12x-x^{2} +48-4x\\ 20x-12x+4x=48\\ 12x=48\\ x=4

Then we should find the length of the segment DB . The line segment is a part of a line with two distinct end points.

DB=(x+4)+(12-x)\\ DB=(4+4)+(12-4)\\ DB=8+8\\ DB=16\ units

Therefore  the length of line segment DB is equal to  16 units

Learn more about the length   brainly.com/question/729447

#LearnWithBrainly

You might be interested in
Which image shows the correct position of M(-4,3)? is it Graph A, B, C, D! Please help
viva [34]

Answer:A

Step-by-step explanation: In (-4,3) -4 is the value of x and 3 is the value of y

6 0
3 years ago
Read 2 more answers
On average, Carson spends about 26% of his allowance each month on candy and soft drinks. When creating a circle graph of what C
DiKsa [7]

Answer: 1/4

Given : On average, Carson spends about 26% of his allowance each month on candy and soft drinks.  

To Find : When creating a circle graph of what Carson does with his money, which of the following fractions would be the best to represent how much he spends on food?

If these are your Choices:

A) 1/4

B) 1/3

C) 3/4

D) 1/2

Solution:

To Convert fraction into % multiply by 100  

 

(1/4) * 100 = 25 %

(1/3) * 100  = 33.33 %

(3/4) * 100 = 75 %

(1/2) * 100 = 50 %

Therefore 1/4 fraction best represent how much he spends on food

8 0
2 years ago
Find the measures of the missing angles.
fomenos
Angle A = 67^0
<span>Angle B = 53^0
</span>
I don't know where D and C are
4 0
3 years ago
Your friend solves the inequality. Is your friend correct?<br> Helpppppp<br><br> Explain answer!
Lunna [17]

Answer: mhm Maybe import a photo because I don’t get u

Step-by-step explanation:

3 0
3 years ago
A triangle has sides with lengths of 4 inches, 14 inches, and 17 inches. Is it a right triangle?
irga5000 [103]
Yes it is because 2 sides would be the legs while 1 side is the hyptonuese so in this case 4 is a leg and 14 and 17 is the hyptonuese
5 0
2 years ago
Other questions:
  • In a laboratory experiment a student obtained the following values for the mass density of a metal sample: 5.13 g/cc, 4.98 g/cc,
    13·1 answer
  • Six stand up comics (A, B, C, D,E &amp; F) are to preform one night at a comedy club. What is the probability the comic C will p
    15·1 answer
  • .............................
    15·1 answer
  • Motion and rate of change derivatives. Attached is the question and where I am stuck, I would really appreciate the help :)
    14·1 answer
  • Is the graph increasing, decreasing, or contrast?
    9·1 answer
  • Using the given statements, state whether the conditional statement is true or false. p: 2 + 2 = 4 q: 7 + 1 = 7 Is p q true or f
    11·1 answer
  • An absolute value graph will only have y values greater than 0.<br> TRUTH OR FALSE
    11·2 answers
  • Can someone please help me!!
    15·1 answer
  • Which inequalities are true? Select the four correct answers.
    6·1 answer
  • Consider the number line below.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!