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
Algebraic models grade 12 math college please write the answers without explaining thank you.
Zinaida [17]

From the problem :

6^4\times6^{-5}

In multiplying expressions with the same bases, the exponent will be added accordingly.

For example :

a^m\times a^n=a^{m+n}

the exponent of a are m and n, and the product will be a raised to the sum of m and n.

Applying this to the problem, we have :

6^4\times6^{-5}=6^{4-5}=6^{-1}

The answer is d. 6^-1

6 0
1 year ago
Order from least to greatest 0.033, 0.049, 0.031, 0.065
SVETLANKA909090 [29]

0.031, 0.033, 0.049, 0.065

4 0
3 years ago
Find m<br> A. 46<br> B. 23<br> C. 69<br> D. 167
Step2247 [10]

Answer:

69, nice

Step-by-step explanation:

118-49=69

3 0
3 years ago
Read 2 more answers
Help anyone?? need to get this done
erik [133]
1) 16
2) 14
3) 21
4) 7
5) 44
6 0
3 years ago
Can someone help me please
Sunny_sXe [5.5K]

Answer:

y = 2/3x +4

Step-by-step explanation:

The y intercept is where the line crosses the y axis

y intercept =4

We can find the slope using two points on the line

(0,4) and (3,6)

m = (y2-y1)/(x2-x1)

   = (6-4)/(3-0)

   = 2/3

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2/3x +4

5 0
3 years ago
Read 2 more answers
Other questions:
  • Cora uses ribbons to make three different sizes of bows.how much more ribbon does it take to make 2 large bows than 2 small bows
    8·1 answer
  • Find a using sin cos or tan<br> Ex: a/sina=b/sinb
    12·1 answer
  • We know that narrower confidence intervals give us a more precise estimate of the true population proportion. Which of the follo
    11·1 answer
  • Plz help GEOMTRY <br> Only 3 questions did. The slope of M given the following points
    10·1 answer
  • Ben said the graph of the inequality
    8·1 answer
  • HELP ASAP!<br><br> Thank you :D
    13·1 answer
  • HELP PLS, THANK YOUU
    11·2 answers
  • 2
    9·1 answer
  • What is the inequality shown here
    13·1 answer
  • Ms. Knight's two cooking classes are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!