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
SVEN [57.7K]
3 years ago
8

Common Tangents and AAA theorems

Mathematics
1 answer:
lubasha [3.4K]3 years ago
5 0
You know from similar triangles that ...
  KM/KO = LM/LN
  (20 +x)/12 = x/8
Multiplying by 24, we get
  2(20 +x) = 3x
  40 +2x = 3x
Subtracting 2x, we get
  40 = x . . . . . . . . . . the measure of LM

The Pythagorean theorem tells us
  (LN)² +(NM)² = (LM)²
Substituting known values, this becomes
  8² +(NM)² = 40²
  (NM)² = 40² -8² = 1600 -64 = 1536
Then the measure of NM is ...
  NM = √1536 ≈ 39.19

You might be interested in
What is the difference between the absolute value of 4 and the absolute value of –3?
Sergeeva-Olga [200]
1.
the absolute value of (-3) is 3
4 - 3
1
8 0
3 years ago
Read 2 more answers
ANSWER ASAP!!! Find the length of the segment indicated
trapecia [35]

Answer:

14.45

Step-by-step explanation:

x^2+(7.1)^2=(16.1)^2

×^2+50.41=259.21

x^2=208.8

sqrt(x^2)=sqrt(208.8)

x=14.45

check.

14.45^2 + 7.1^2 = 16.1^2

4 0
3 years ago
If the area of a rectangle is 144 sq. in. and the length of one side is 18in. what is the length of the other side?
navik [9.2K]

Hello from MrBillDoesMath!

Answer:  The other side has a length of 8

Discussion:

Area of a rectangle = l * w ( length times width). In our case

Area = 144 = l * w = 18 * w =>

18 w = 144  =>

w = 144/18 = 8


Thank you,

MrB

8 0
3 years ago
What is the axis of symmetry of the function f(x)= -(x+9)(x-21)
Vinil7 [7]

Answer:

The axis of symmetry is x = 6

Step-by-step explanation:

To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.

x + 9 = 0

x = -9

x - 21 = 0

x = 21

Now take the average of these two numbers.

(-9 + 21)/2

12/2

6

6 0
3 years ago
Let a and b be non-zero integers
r-ruslan [8.4K]

Answer:

The correct answer is d

Step-by-step explanation:


6 0
3 years ago
Read 2 more answers
Other questions:
  • Heather makes 9 dollars for each hour of work. Write and equation to represent her total pay (p) after working (h) hours.
    9·1 answer
  • Plz show me how to work this out
    12·1 answer
  • Can you solve this:<br><br> 8cos^2x=6sinx+3
    5·1 answer
  • Does someone understand this question and can help
    5·1 answer
  • If a car can travel 50 miles in 55 minutes, how long will it take to travel 75 miles?
    11·1 answer
  • That contains the point
    6·1 answer
  • I need help quick it is due in 3 hours
    8·1 answer
  • 1 cm equals 10 mm how many millimeters does 2.5 cm equal label your answer ​
    9·1 answer
  • WILL MARK BRAINLIEST HELP ASAP ASAP
    10·1 answer
  • Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voter
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!