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
katen-ka-za [31]
3 years ago
15

Given that LM and LN are tangent to the circle and that the measure of angle MLN = 75.86, find the measure of arc MN.

Mathematics
1 answer:
siniylev [52]3 years ago
7 0

we know that

The measure of the external angle is the semidifference of the arcs that it covers

so

∠MLN=(1/2)*(mayor arc MN-minor arc MN)

Let

x------> minor arc MN

major arc MN=360-x

substitute in the formula above

∠MLN=(1/2)*(mayor arc MN-minor arc MN)

75.86=(1/2)*(360-x-x)------> 151.72=(360-2x)------>360-151.72=2x

x=104.14°

therefore

the answer is

the measure of arc MN (minor arc) is 104.14°

You might be interested in
The jazz band has 13 members. To raise money for a tour, each member sold r raffle tickets. Write an expression that shows the n
Hunter-Best [27]

Answer:

13 * r

Step-by-step explanation:

If each member sells the same number of raffle tickets, then 13r would show that each of the 13 members will have sold <em>r</em> raffle tickets each. The expression is multiplication.

5 0
3 years ago
Rounded to the nearest hundredth, what is the positive solution to the quadratic equation 0 = 2x2 + 3x – 8?
zmey [24]
2x² + 3x -8 = 0

a = 2 , b = 3 , c = -8
So..
D = b²-4ac = 9 + 64 = 73

for bigger solution , use x = -b + √D / 2a
For smaller solution, use x = -b - √D / 2a

So
= -3 + √73 / 2. 2
= 1/4 (√73 -3)

Hopefully helpfull.. ^_^
8 0
3 years ago
Read 2 more answers
Find the length of side x in simplest radical form with a rational denominator.
Andrej [43]

Answer:

Step-by-step ex snsmsndjsnshsushdidjdplanation:

6 0
3 years ago
Help me asap I’m turning this in late please hep
netineya [11]

Answer:

The answer is 27 If not please correct me!

3 0
3 years ago
Read 2 more answers
FAHED WANTS TO REPLACE THE WINDOWS IN THE FRONT OF HIS HOUSE. THE FRONT OF HIS HOUSE HAS THREE WINDOWS SHAPED LIKE PARALLELOGRAM
slavikrds [6]
Parallelogram area= base * perpendicular height
Assuming that the perpendicular height is 2 ft:
Area of one window = 3.25 * 2 = 6.50 square feet.

Since there are 3 identical parallelograms the Total Area = 3 * 6.5
= 19.5 square feet.



6 0
3 years ago
Other questions:
  • Name the three-dimensional figure shown in the picture.
    11·2 answers
  • Xavier Martinez took out a $5,000 loan at 7.5% interest for reconstructing his patio. His monthly payment on the 12-month loan w
    6·2 answers
  • Lines L and M are parallel lines cut by the transversals line t. which angle is congruent to angle 5
    14·1 answer
  • Multiply: (2x − 3)(x^2 + 4x − 3)
    7·2 answers
  • . To graph the equation, first plot 5 points on the graph: one point with =x0 , two points with negative x -values, and two poin
    11·1 answer
  • If BOTH equations are in slope-intercept form then the--------------? method would be best, but the------------? method would al
    13·1 answer
  • Malana makes kites she buys 2/3 yard of nylon and 7/9 block of balsa wood the nylon costs 6$ per yard the balsa wood costs $18 p
    12·1 answer
  • HELP DUE IN 10 MINS!
    9·1 answer
  • How to get good grades in Maths​
    14·1 answer
  • Pls answer ........... ​
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!