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
fiasKO [112]
3 years ago
7

Show all your work to receive credit! What is m∠KNLm∠KNL?

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0
With intersecting lines, the angles opposite the intersection (across the "X") are called vertical angles, and they are identical. Therefore JNK = MNL and KNL = JNM.
So set KNL = JNM:
3(x+14) = 5x+2
3x+42 = 5x+2
3x+42 -42 = 5x+2 -42
3x = 5x -40
3x -5x = 5x-5x -40
-2x = -40
-2x/-2 = -40/-2
x = 20
Now plug that into x for KNL:
KNL = 3(x+14) = 3(20+14) = 3(34) = 102°
You might be interested in
Parallel to y =9x 3, y-intercept at -2
Mashutka [201]
Slope-intercept form:
y=mx+b
m=slope
b=y-intercept

We have this line: y=9x+3; a line parallel to this line (y=9x+3) will have the same slope; therefore m would be equal to 9 (m=9).

Data:
m=9
b=-2
y=mx+b
y=9x-2

Answer: y=9x-2
3 0
3 years ago
Suppose the population of a town is 98,000 in 2014. The population increases at a rate of 3.7 percent every year. What will the
Setler [38]

Answer: 121871

Step-by-step explanation:

Current population = 98000

Rate of increase = 3.7% / year

Total time = 2020 - 2014 = 6 years

Population in 2020 = 98000 * (1+ (3.7/100))^6

= 98000 * (1.037)^6  =  98000 * 1.243576 = 121870.505

Rounding off to nearest whole number we get the population = 121871

3 0
3 years ago
Line Q has a slope of 3. Line R is parallel to line Q.What is the slope of line R?
Vladimir [108]

Answer:

3

Step-by-step explanation:

Parallel lines have the same slope

So if line Q has a slope of 3

Line R which is parallel to Q must have a slope of 3

7 0
3 years ago
Read 2 more answers
What expression shows the relationship between the value of any term and n, its position in the sequence for the given sequence?
mafiozo [28]
Answer: -3n-2. 

Because for the first term, for example, plug in 1, you'll get -3(1)-2=-3-2=-5, which is the first one. Try it with all terms. 
8 0
3 years ago
A jacket that is regularly sold for $49.95 is on sale for 25% off. What is the sale price of the jacket?
Gnoma [55]

First, find 25% of 49.95. Turn 25% into a decimal by dividing by 100.

25% ⇒ 0.25

Now, multiply 0.25 by 49.95.

0.25 × 49.95 = 12.46

25% of 49.95 is 12.46, so subtract 12.46 from 49.95.

49.95 - 12.46 = 37.49

<h2>Answer:</h2>

<u>The discounted price of the jacket is </u><u>$37.49</u><u>.</u>

Now find 8% of 37.49.

8% ⇒ 0.08

Multiply 0.08 by 37.49.

0.08 × 37.49 = 2.99

<h2>Answer:</h2>

<u>The tax is </u><u>$2.99</u><u>.</u>

To find the full price, add 37.49 and 2.99 together.

37.49 + 2.99 = 40.48

<h2>Answer:</h2>

<u>The final cost is </u><u>$40.48</u><u>.</u>

4 0
3 years ago
Other questions:
  • How do you make -29 a fraction?
    13·1 answer
  • Identify the Formula for finding the nth term of an Arithmetic Sequence, where A(n) is the nth term of an Arithmetic Sequence, a
    8·1 answer
  • write an equation to represent the relationship "a number decreased by negative 2 is equal to 21."Then solve the equqtion
    13·2 answers
  • 18. Which ordered pair is not a solution of 3x - 5y&lt; 30?
    10·1 answer
  • Celia bought a bag of 12 goldfish for $3 what is the cost for 1 goldfish?
    13·1 answer
  • Y-5=m(x-2); solve for x
    13·1 answer
  • What does 7(p + q +9) equal​
    12·1 answer
  • The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers.
    13·1 answer
  • Julie has 300ml of juice, She gives of the juice away.<br> How much juice does she give away?
    9·2 answers
  • 2d+2=8<br> i think i know the answer but i need to know for sure
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!