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
Mariulka [41]
2 years ago
14

Find x and y, given that KL and line MN are parallel. Show all work

Mathematics
2 answers:
iren [92.7K]2 years ago
5 0
X equals 9.5 y equals
Setler [38]2 years ago
4 0
\dfrac{|MN|}{|NJ|}=\dfrac{|KL|}{|LJ|}\\\\\dfrac{22}{12+8}=\dfrac{y}{8}\\\\\dfrac{22}{20}=\dfrac{y}{8}\ \ \ |cross\ multiply\\\\20y=22\cdot8\\\\20y=176\ \ \ |:20\\\\\boxed{y=8.8}

\dfrac{|MK|}{|KJ|}=\dfrac{|NL|}{|LJ|}\\\\\dfrac{x-2}{5}=\dfrac{12}{8}\ \ \ \ |cross\ multiply\\\\8(x-2)=5\cdot12\\\\8x-16=60\ \ \ |+16\\\\8x=76\ \ \ |:8\\\\\boxed{x=9.5}
You might be interested in
Which inverse operation would be used to verify the following equation? 102 ÷ 3 = 34
MA_775_DIABLO [31]
An inverse operations is the reverse of the equation. For example, since it's 102 ÷ 3 = 34, to get the inverse you would take the opposite sign of "÷" and make it "×," while changing the equal sign to make the statement true. The inverse operation used to verify this is 102 = 3 × 34
5 0
2 years ago
Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
ANTONII [103]

Answer:

Both the boats will closet together at 2:21:36 pm.

Step-by-step explanation:

Given that - At 2 pm boat 1 leaves dock and heads south and boat 2 heads east towards the dock. Assume the dock is at origin (0,0).

Speed of boat 1 is 20 km/h so the position of boat 1 at any time (0,-20t),

        Formula :   d=v*t

at 2 pm boat 2 was 15 km due west of the dock because it took the boat 1 hour to reach there at 15 km/h, so the position of boat 2 at that time was (-15,0)

the position of boat 2 is changing towards east, so the position of boat 2 at any time (-15+15t,0)

      Formula : D=\sqrt{(x2-x1)^2+(y2-y1)^2}

⇒                     D = \sqrt{20^2t^2+15(t-1)^2}

Now let           F(t) = D^2(t)

                ∵    F'(t) = 800t + 450(t-1) =  1250t -450\\F'(t) =0

⇒                     t= 450/1250

⇒                     t= .36 hours

⇒                       = 21 min 36 sec

Since F"(t)=0,

∴ This time gives us a minimum.

Thus, The two boats will closet together at 2:21:36 pm.

3 0
3 years ago
Congruent Triangles on the Coordinate Plane
DaniilM [7]

Answer:

all are congruent via SAS

Step-by-step explanation:

5 0
2 years ago
How do you write out.32ft/sec to meters/min
marta [7]
32 ft 
this is meters per second >>> 9.7536
6 0
3 years ago
A number that multiplies a variable in a term is a ___
adelina 88 [10]
It’s gonna be B coefficient
4 0
3 years ago
Other questions:
  • 7x - 2 = 2y 3x = 2y - 1
    14·1 answer
  • If (x+8) is a factor of f(x)
    12·2 answers
  • A guitar is on sale for 20% off the original price. Let p represent the original price. What expressions can be used to calculat
    8·2 answers
  • (1/16)^x+3=(1/4)^x+1
    9·1 answer
  • What is y= -5/3 x - 1 graphed
    5·1 answer
  • Which of the following are solutions to the quadratic equation? Check all that apply.  2x 2* +6x -10=x2*+ 6   A.-2  B.-8  C.8  D
    7·1 answer
  • Cos of 16/34<br> Sin 32/40<br> Tan 32/24
    15·1 answer
  • Please help I don't know the answer​
    15·1 answer
  • When 7 is subtracted from 3 times a certain number , the result is 28. What is the number
    10·1 answer
  • ¿Cuánto recorre aproximadamente una rueda que da 60 vueltas si ésta tiene un radio de 0.20 m?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!