M is the midpoint of RT. RM = 5x + 9 and MT = 8x - 36. Find x, RM, MT, and RT. = .
Answers
The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.
What is a System of equations?simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.
There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.
Given a system of equations Where RM = 5x + 9 and MT = 8x - 36.
Since,
M is the midpoint of RT
Thus,
RM = MT
5x + 9 = 8x - 36
3x = 45
x = 15
So,
1) RM = 5x + 9
RM = 75 + 9 = 84
2) MT = 8x -36
MT = 120 - 36 = 84
3) RT = RM + MT
RT = 84 +84 = 168
Therefore, The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.
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Related Questions
Convert these decimals into fractions 0.49 and 4.542
Answers
Answer:
0.49 = [tex]\frac{49}{100}[/tex]
4.542 = 4 [tex]\frac{542}{1,000}[/tex]
Step-by-step explanation:
0.49 is equivalent to 49/100 because 0.49 represents the hundredth place.
4.542 is equivalent to 4 542/1,000 because .542 is representing the thousandths place, and the 4 is a whole number.
Hope this helps!
Find the coordinates of the midpoint of the segment.
MN with endpoints M 6,12) and N(-6, -6)
The coordinates are
Answers
Answer:
[tex]MP= (-6,3)[/tex]
Step-by-step explanation:
[tex]MP= (\frac{x_1+x_2}{2} )(\frac{y_1+y_2}{2} )\\MP= (\frac{6+-6}{2} )(\frac{12+-6}{2} )\\MP= (\frac{-12}{2} )(\frac{6}{2} )\\MP= (-6,3)[/tex]
Omar is playing a computer game. He starts with 0 points, wins 8 points, loses 6 points 4 times, and then wins 2 points. Which integer represents Omar’s score? –30 –14 16 34
Answers
The answer is -14. 0+8 =8 8 - (6x4) = - (-16 + 2 = -14
Answer:
-14
Step-by-step explanation:
Anyone know how to do this?? Help pls
Answers
Answer:
The correct answer is A. a = 2s - b - c
Step-by-step explanation:
First you multiply 2 on both sides and you will end up with 2s = a + b + c.
Then to isolate a you would subtract both b and c from both sides of the equation as well to end up with your answer of a = 2s - b - c.
w(x) = 2x + 5; Find w(x + 2)
Answers
Solution:
w(x) = 2(x + 2) + 5
w(x) = 2x + 4 + 5
w(x) = 2x + 9
Best of Luck!
Which real-world scenario can be described using the algebraic expression c/4?
Answers
Answer:
Baking c cookies and dividing them evenly among 4 friends.
Step-by-step explanation:
Please help me I will give the brain Please.
Answers
Answer: C or $256
You will also save $64
Answer:
The cost of the stereo system is $256.
Step-by-step explanation:
What we know:
The cost of the stereo system is $320.
Zenaida is getting the stereo system 20% off.
We can set our equation up like this:
Stereo System = 320-320*20%
(to find the cost of the stereo system, we have to subtract 20% of the original price)
1. Multiply 20 by 100 to change 20% into a decimal
20*100=0.2
2. Plug into the equation and solve
320-320*0.2
= 320-64
= 256
I hope this helped!
Find the distance between the two points. (-1, 6), (2, 8) Round to the nearest hundredth
Answers
Answer:
[tex]d = \sqrt{13}[/tex] or d = 3.61
Step-by-step explanation:
[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d= \sqrt{(2-(-1))^2+(8-6)^2}\\d= \sqrt{(3)^2+(2)^2}\\d= \sqrt{9+4}\\d= \sqrt{13}[/tex]
The distance between points (-1, 6) and (2, 8) is obtained as 3.59 units.
How to use distance formula?The distance formula is used to find the distance between two points (x₁, y₁) and (x₂, y₂) as √((x₁ - x₂)² + (y₁ - y₂)²).
By knowing the sides, the area of different polygons such as parallelogram, trapezium and rectangles etc. can be found.
The coordinates of the given points are (-1, 6) and (2, 8).
Apply distance formula to get the distance as below,
Distance = √((-1 - 2)² + (6 - 8)²) = √13 = 3.59
Hence, the required distance between the two points is given as 3.59 units.
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- 7x + 14 = 4x - 19
Please help
Answers
Answer:
-7x+14=4x-19
-7x
14-3x-19
-3x-15
Step-by-step explanation:
x=3
What is 6/12 in simplist form?
Answers
Jill made 20 muffins. She put them into 3 boxes and has two muffins left. How many are in each box if they all contain the same amount of muffins?
Answers
Gavin is analyzing the success of a newly launched game app. The game takes place on an island that's been overrun with zombies. When a player is on level one of the game, the population of zombies is 50,000. Each time the player advances to a new level, that population grows at a rate of 5%. Answer the questions that follow to continue Gavin’s analysis. Use the initial zombie population and growth rate per level to complete the table and estimate the population at level 5. Round to the nearest whole number, if necessary.
.
Game Level: 1 | 2 | 3 | 4 | 5
Population: 50,000 |
Answers
Answer:
Answer: Level 1 - 50,000
Level 2 - 52,500
Level 3 - 55,125
Level 4 - 57,881
Level 5 - 60,775
Step-by-step explanation:
Level 1 population will be 50,000
Level 2 population will be 52,500
Level 3 population will be 55,125
Level 4 population will be 57,881
Level 5 population will be 60,775
What is a product?
Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. Product can meet are the quantities that are included, and the outcome of the operation, or the final response.
The zombies would be 50,000 * 5% if Gavin were level 1, and 50,000 * (5% * 2) if Gavin were level 2, which would be equivalent to 50,000 * 10%. Gavin calculates the number of zombies by multiplying the player's stage by 5%, which equals 50,000 * 5%x Initial Density of Zombie.
The population of the 2 level is
50000 + (50000 * 5%)
50000 + 2500 = 52500
The population of 3 levels is
52500 + (52500 * 5%)
= 55,125
The population of 4 levels is
55,125 + (55,125 * 5% )
= 57,881
The population of 5 level is
57,881 + ( 57,881 + 5%)
= 60,775
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What are these fractions in order from greatest to least?:
6/9,5/6,5/7,4/5
Answers
A test score of 48.4 on a test having a mean of 66 and a standard deviation of 11. Find the z-score corresponding to the given value and use the z-score ti determine whether the value is significant.
Answers
Answer:
It is 4
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
#6 is 17 days
Step-by-step explanation:
This is how I answered it
1) 2750 = 550 + 125x
2) subtract 550 from each side
2750-550=2200
so the left over equation is:
2200 = 125x
3) divide each side by 125 to get x by itself
2200÷125= 17.6
4) you are left with: x = 17 days
The files attached :)
I need help
Answers
Answer:
only doing one page you got the other :)
Step-by-step explanation:
Read the paragraph from The Hot Zone.
Just then, he noticed a blur of motion on his left, and he turned and saw two Hazleton workers walking toward him. They weren't supposed to be in here! The area was supposed to be sealed off, but they had come in by another route that led through a storeroom. They wore respirators, but nothing covered their eyes. When they saw the two men in space suits, they froze, speechless. Jerry could not see their mouths, but he could see their eyes, wide with astonishment. It was as if they had suddenly discovered that they were standing on the moon.
What is the author’s main purpose for including this paragraph?
to inform readers about the location of the scene that is unfolding
to explain to readers that being a scientist can be exciting work
to entertain readers by illustrating how dramatic the situation is
to reassure readers that the situation was completely under control
Answers
Answer:
c
Step-by-step explanation:
to entertain readers by illustrating how dramatic the situation is
The purpose of the author will be C. entertain readers by illustrating how dramatic the situation is.
It should be noted that a theme simply means the main idea that's conveyed in a literary work. It's simply what the author wants the readers to know.
In this case, the author’s main purpose for including this paragraph is to entertain readers by illustrating how dramatic the situation is.
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Can the common ratio of geometric sequence be equal to 0?
Answers
Answer:
No it cant
Step-by-step explanation:
it cant
HELP ME PLEASEEE. I WILL MARK U BRAINLIESTTTT.
Answers
Edgenuity’s sample response for this question:
Sublimation occurs because the atoms in a solid must gain enough energy to form a gass without passing through the liquid state. Low air pressure and large amounts of energy, often in the form of heat, allow the atoms to move fast enough to overcome the attractive forces between them.
If you need an original response here’s my take!!:
Sublimation happens when a solid turns directly into a gas. For this to happen, there must be low air pressure and immense heat energy. This allows atoms to quickly move and perform sublimation.
HELP PLZ I WILL GIVE U 10 POINTSS
Answers
Answer:
1/40
Step-by-step explanation:
You put 4/1 to put it into a fraction and then flip the fraction to times 1/10 (1/4)
to get the answer of 1/40
i need to know this problem
Answers
[tex]x \geqslant 1[/tex]
Write a ratio that simplifies to 2:7
Answers
Answer:
4 : 14
Step-by-step explanation:
Step 1:
2 : 7 = 4 : 14
Answer:
4 : 14
Hope This Helps :)
Algebra 1. 9th Grade
-12-8=5/2x
Answers
Answer:
-1/8
Step-by-step explanation:
1) -12 - 8 = -20
2) -20 = 5/2x
3) (-20)(2x) = 5
4) -40x = 5
5) x = -5/40 = -1/8
Hope this helps!
ARITHMETIC SEQUENCES HELP. (QUESTIONS ATTACHED)
Answers
1 inch corresponds to 4ft, what is 2 1/4 inches converted to feet
Answers
Answer:
9 feet
Step-by-step explanation:
2 1/4 can be written as an improper fraction 9/4
we are given:
1 inch ----> corresponds to 4 feet
hence,
2 1/4 inch ---> corresponds to 4 feet x 2 1/4 = 4 x (9/4) = 9 feet
What is the greatest common factor 12x^5 and 8x^3
Answers
Hey there! I'm happy to help!
Let's see what makes 12x^5.
3·2·2·x·x·x·x·x
And for 8x^3...
2·2·2·x·x·x
We see that both of these have two 2s and 3 xs, so our GCF is 2·2·x·x·x which is 4x^3.
Have a wonderful day! :D
Help me guys! This question is hard for me
Answers
Answer:
should be answer A
Step-by-step explanation:
Answer:
I'm pretty sure the answer is D
Step-by-step explanation:
it appears to be a reflection to the plane below it. and it is one of the only ones to remain its shape and stay rigid(the same)
The radius of a circle is 4.8cm. What is the diameter?
Answers
Answer:
9.6cm
Step-by-step explanation:
Since the radius is half of the diameter, to find the diameter, simply multiply the radius by 2.
4.8*2=9.6
Diameter=9.6cm
Which ones apply?
Answers please
Answers
X + 9 = 7
How do you move the constant to the right side and change it’s sign
Answers
Step-by-step explanation:
X + 9= 7
get x by itself you -9 on both sides
X + 9 = 7
- 9. -9
X = -2
You can throw the X to the right side and change to -X
9 = 7 - X
OR You can add both sides with -X
X + 9 - X = 7 - X
9 = 7 - X
Then you can do the same with 7 by throwing it to the left side and get -7
9 - 7 = - X
2 = - X
Now throw the -1 to the left side ( -X = -1X )
2(-1) = X
X = -2