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
Ad libitum [116K]
3 years ago
13

What is m∠KNL? Enter answer in box

Mathematics
1 answer:
kodGreya [7K]3 years ago
7 0

I want to talk about X's. I'll start by talking about this X - a cross (photo 1). Specifically, a cross made of two perpendicular lines - lines that meet each other at right angles all around. What's special about a cross? There's the religious significance, but in our case, there's also the <em>symmetry</em>. The quick, intuitive definition of symmetry is some quality that a thing has where, if you do something to it, it'll still look the same. Your body is symmetric; the left side of our bodies looks like we took the right side and flipped it - they're mirror images of each other.

One of the symmetries of this cross is right here. (Picture 2) It splits the cross into <em>two identical halves</em>, one a mirror image of the other. Most importantly, <em>the angles on each side of the line are identical</em>. We can draw this same mirror into our problem, too (picture 3). This symmetry tells us that those two unknown angles are exactly the same - <em>equal</em>. So, if angle MNJ is 5x+2 and angle LNK is 3(x+14), we now know that

5x + 2 = 3(x + 14), or, getting our algebra sorted:

5x + 2 = 3x + 42

2x = 40

x = 20

Now that we know x, we can find MNJ - which, because X's are symmetric, is exactly the same angle as LNK. Crunching the numbers, we find

m∠MNJ = m∠LNK = 5(20) + 2 = 100 + 2 = 102°.

Side note: the technical term for pairs of angles like MNJ and LNK is vertical angles. What we've shown here is, because of the symmetry of intersecting lines, vertical angles are always equal.

You might be interested in
0.03 ÷ 10 equals what
gladu [14]
0.03/10 = 0.003 lalalalala its making me type more
5 0
3 years ago
Read 2 more answers
Val and tony get paid per project. Val is paid a project fee of $44 plus $12 per hour. Tony is paid a project fee of $35 plus $1
Mashutka [201]
12h + 44 = 15h + 35
h= number of hours that Val and Tony work
3 0
3 years ago
The double number line shows the price of 1 cupcake.
mr Goodwill [35]
5 cupcakes = $7.5
18 cupcakes = $27
4 0
3 years ago
Will mark brainliest for whoever gives me the right answer and who answers first!
miv72 [106K]
Here is the answer hehehe

8 0
2 years ago
I really need help. I've checked everywhere and it says cannot be factored. I will give brainliest to whoever can help me and gi
jolli1 [7]

Answer:

B) -5, 5, -7, 7           

Step-by-step explanation:

3x² - bx + 2

factor:

(3x - 2 )(x - 1) = 3x² - (5)x + 2      so 5 does work

(3x - 1 )(x - 2) = 3x² - (7)x + 2      so 7 does work

(3x + 2 )(x + 1) = 3x² + 5x +2    =    3x² - (-5)x + 2      so -5 does work

(3x + 1 )(x + 2) = 3x² + 7x + 2   =    3x² - (-7)x + 2      so -7 does work

4 0
2 years ago
Other questions:
  • A table and I chairs weigh 235.68 lbs together. If the table weighs 157.84 lbs what is the weight of one chair in pounds
    12·2 answers
  • Divide 9 by w, then subtract v from the result
    5·1 answer
  • What is the value of (10 – 6)2 + 6 • 2 – (3 + 2)2? A. 10 B. 3 C. –1 D. –5
    5·2 answers
  • {2y-4}=12 what are the solutions?
    9·2 answers
  • FIND THE GCF, THEN FACTOR THE EXPRESSIONS
    11·1 answer
  • Solve for k<br> p(k + 12) = 8 – 4k
    6·2 answers
  • 14) Are these TRUE or FALSE?<br>3/1= 1/3<br>3/1 = 1<br>3/3 = 1​
    15·1 answer
  • Why is 2 + (−3) equal to −1?
    7·2 answers
  • Urgent!! Please help!!
    5·1 answer
  • Consider the partial set of values for the functions f(x) and g(x):
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!