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
omeli [17]
3 years ago
10

Suppose JM= 5x-10 and MK= x+14 and M is the midpoint of JK. Find x and JM

Mathematics
1 answer:
liubo4ka [24]3 years ago
3 0
Because M is the midpoint of segment JK, JM=MK.

Now, substitute, and you will get 5x-10=x+14.
You can easily solve from here.


5x-10=x+14
5x-x-10=x-x+14
4x-10=14
4x-10+10=14+10
4x=24
4x/4=24/4
x=6

Since we now know x=6 and the two segments are congruent, both JM and MK are 6.

JM+MK= 6+6=12, therefore JK=12.
You might be interested in
Express f(x) = 3 cos x + 5 sin x as Rsin(x + o), where e<br>is an acute angle in radians.​
Andrews [41]

Answer:

<h2>√34sin(x + 0.33π)</h2>

Step-by-step explanation:

The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.

R = √a²+b²

e = tan^{-1}\frac{b}{a}

Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;

a = 3, b = 5

R = √3²+5²

R = √9+25

R =√34

e = tan^{-1} \frac{5}{3} \\e = 59.09^{0}

in radians;

e =\frac{\pi }{180}*59.09\\ e = 0.33\pi rad

3 cos x + 5 sin x = √34sin(x + 0.33π)

4 0
3 years ago
A student playing a computer chess game gets 5 points every time he wins a round. The computer gets 3 points every time it wins
Kipish [7]
I am sorry but i don't know, But the student won 32 times. I did the math on paper and then on my calculator. I am really sorry i couldn't help you. 'ω' Hope you do good on this question and again sorry i could not help you.<span />
4 0
3 years ago
Choose the best score on a quiz. 24 points out of 42 24 points out of 42 75 points out of 135 75 points out of 135 150 points ou
stellarik [79]

Answer:

150/250

Step-by-step explanation:

24/42, 75/135, 150/250, and 75/150 I believe is what you're asking. We know 75/135 is better than 75/150 so 75/150 is out of the equation. If we multiple 75/135 by 2 we get 150/270 which is more than 150/250, so 75/135 is out of the equation. Now to compare 24/42 and 150/250 we can divide their fractions, if we divide 24/42 we get 0.57, so 57%. If we did 150/250 we get 0.6 or 60%. So 150/250 is the best score.

8 0
2 years ago
Read 2 more answers
Please help me explain as well. I will give brainliest.
garik1379 [7]

Answer:

Step-by-step explanation:

6 0
3 years ago
Ayush scored 720 marks out of900. And his brother scored 630 out of 700. whose perfomance is better​
tresset_1 [31]

Answer:

in my opinion anush has the better performance

8 0
3 years ago
Read 2 more answers
Other questions:
  • performance task applying probability concepts i need the work shown w answers any help is appreciated :)
    11·1 answer
  • 3) Greta has 2 bags of tiles
    6·1 answer
  • Which 3D figure has exactly 3 rectangular faces
    6·1 answer
  • a comedy show sells lower level tickets for $78 and upper level tickets for $59. on the opening knight 2368 tickets were sold fo
    7·1 answer
  • A movie was shown 6 times every day from November 24 through December 19. How many times was the movie shown in all
    15·1 answer
  • A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle? Check all that
    11·1 answer
  • 10 points
    12·1 answer
  • Help pls.............
    12·1 answer
  • Isaac applied the steps below to find the product of (4.2)(–5.4).
    14·1 answer
  • Select from the drop-down menu to correctly complete the statement.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!