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
Studentka2010 [4]
3 years ago
13

Solve this for me (geometry)

Mathematics
1 answer:
VashaNatasha [74]3 years ago
7 0

Given:

A figure of a circle. KJ=6,KL=x-2,ML=4.

To find:

The length of KJ.

Solution:

From the given figure it is clear that the number 6 is marked between K and J it means the number 6 represents the distance between the points K and j.

Therefore, the length of KJ is 6 units.

Note: In the given question we need to find KL instead of KJ because KJ is already given.

According to the tangent secant theorem:

a^2=bc

Where,

  • a is the length of the tangent.
  • b is the length of the external segment of the secant.
  • c is the measure of the secant.

Using the tangent secant theorem, we get

ML^2=KL\times JL

(4)^2=(x-2)\times (6+x-2)

16=(x-2)\times (4+x)

16=4x+x^2-8-2x

On further simplification, we get

16=x^2+2x-8

0=x^2+2x-8-16

0=x^2+2x-24

Splitting the middle term, we get

x^2+6x-4x-24=0

x(x+6)-4(x+6)=0

(x+6)(x-4)=0

x=-6,4

For x=-6,

KJ=-6-2

KJ=-8, which is not possible because side cannot be negative.

For x=4,

KJ=4-2

KJ=2

Therefore, the measure of KL is 2 units.

You might be interested in
4=y-4 solve for the variable
sdas [7]
4 = y - 4
You need to add 4 on each side and you will get 8 which means that y is equal to 8.

4 = y - 4
+4 +4
8=y
6 0
3 years ago
Read 2 more answers
Which choices are equivalent to the quotient below √16/√8
Darya [45]

Answer:

A

Step-by-step explanation:

\frac{\sqrt{16} }{\sqrt{8} }  = \sqrt{\frac{16}{8} }  = \sqrt{2}

Hope this helps!

8 0
3 years ago
Which expression can be used to determine the slope of the liner function graph below?
Dennis_Churaev [7]
Isn’t there supposed to be a picture?
5 0
3 years ago
Read 2 more answers
Can someone please read this?? I keep trying to but I get distracted! ​
Alex

Answer:

it translates to something i can't say on here ;)

5 0
3 years ago
Which equation would you use to find the distance between point A and point H?
andreev551 [17]
B -4-1 because the one is positive and the 4 is negative
5 0
2 years ago
Other questions:
  • If you reflect the point ( 4, 4) across the x-Axis, what will be the points new coordinates
    5·1 answer
  • WILL GIVE BRAINLIEST TO PERSON WHO ANSWERS
    10·1 answer
  • How many centigrams are equal to 9.95 milligrams
    7·1 answer
  • A store manager records the total visitors and sales, in dollars, for 10 days. The data is shown in the scatter plot. What concl
    10·1 answer
  • Xavier runs for 0.75 mile each day. How far does he run at the end of 6 days?
    10·2 answers
  • A ; 1/2. B ; 1/3. C ; 2/3 D ; 4/9
    15·1 answer
  • HURRY I NEED HELP NOW PLS. For his lunch, David is making a sandwich that must consist of bread, cheese, and meat. David can cho
    5·1 answer
  • A map has a scale of 1cm to 17km. If Johnstown and San Jose are 204 km apart, then they are how far apart on the map?
    11·1 answer
  • Carol, Ann, and Liz each bought a toy fish. Carol's fish is 5 inches longer than Ann's fish. Liz's fish is 9 inches longer than
    9·1 answer
  • Help please! I will give brainliest
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!