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
insens350 [35]
3 years ago
7

PICKING BRAINIEST use the diagram to complete the statements (:

Mathematics
1 answer:
Mashutka [201]3 years ago
6 0
The measure of angle L
∠M + ∠L + ∠N = 180°
20° + ∠L + 90° = 180°
∠L = 180° - 20° - 90°
∠L = 70°

The trigonometric ratio for NM
tan M = LN/NM
tan 20° = 21/NM
NM = 21/tan 20°

Find the length of NM
NM = 21/tan 20°
NM = 21/0.36397
NM = 57.697
NM = 57.7
You might be interested in
Point H is the incenter of triangle ABC. Find BD. a. 7.5<br> b. 8.5<br> c. 9.2<br> d. 9.7
Mademuasel [1]
Check the picture below

notice, using the 30-60-90 rule, since that triangle is a 30-60-90 triangle, we get 11 = 2x

6 0
2 years ago
Read 2 more answers
Evaluate [3(5 + 6) + 2] ÷ 7
larisa86 [58]
The answer to the problem is 5
6 0
3 years ago
Read 2 more answers
Factor the trinomial:<br> 5x^2+41x+42
babunello [35]

Answer:

(5x + 6) (x + 7)

Step By Step Explanation:

Use the sum form to the product.

5

5 0
2 years ago
Read 2 more answers
Hi does anyone know how to solve this question if so please show the working out.
tester [92]

Explanation:

The Law of Sines is your friend, as is the Pythagorean theorem.

Label the unmarked slanted segments "a" and "b" with "b" being the hypotenuse of the right triangle, and "a" being the common segment between the 45° and 60° angles.

Then we have from the Pythagorean theorem ...

  b² = 4² +(2√2)² = 24

  b = √24

From the Law of Sines, we know that ...

  b/sin(60°) = a/sin(θ)

  y/sin(45°) = a/sin(φ)

Solving the first of these equations for "a" and the second for "y", we get ...

  a = b·sin(θ)/sin(60°)

and ...

  y = a·sin(45°)/sin(φ)

Substituting for "a" into the second equation, we get ...

  y = b·sin(θ)/sin(60°)·sin(45°)/sin(φ) = (b·sin(45°)/sin(60°))·sin(θ)/sin(φ)

So, we need to find the value of the coefficient ...

  b·sin(45°)/sin(60°) = (√24·(√2)/2)/((√3)/2)

  = √(24·2/3) = √16 = 4

and that completes the development:

  y = 4·sin(θ)/sin(φ)

6 0
3 years ago
What is the distance between (5, 6, 4) and (4, 4, 2)? round to the nearest tenth of a unit
n200080 [17]
Distance = 3 units .....................
3 0
3 years ago
Other questions:
  • Which number dose 5 represent a value 10 times the value represented by 5 in 35,187
    12·1 answer
  • If n is an integer and can be written in expanded form....
    14·1 answer
  • "A movie data base claims that the average length of movies is 117 minutes. A researcher collected a random sample of 160 movies
    5·1 answer
  • ASAP!!!! FUNCTIONS HELP
    10·1 answer
  • Need answers for Question <br> 5 and 6
    5·1 answer
  • A scuba diver is swimming in the ocean 10 feet below sea level. Then, she dives down 12
    5·2 answers
  • The difference between -89.2 and 56.7
    14·2 answers
  • If g(x) = (24 – x)2 + 7, what is<br> the value of g(6)?<br> O 250<br> O-2<br> O 243<br> O 331
    11·1 answer
  • 8x- 2 =54<br> helppp ? ??
    15·2 answers
  • Solve the system of equations below.<br> y=x-1<br> x+y=3
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!