Mathematics College

WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?

Answers

Answer 1

Answer:

x=12, y=4

Step-by-step explanation:

All the sides are the same length.

3x+y = 40

4x-2y = 40

Eliminate y terms: divide second equation by 2 and add to first equation

2x-y = 20

3x+y = 40

---------------

5x = 60

x = 12

y = 40-3x = 4

Answer 2

Answer:

We know that all sides of the equilateral triangle is equal.

Given :---

An equilateral triangle has a side length of 40.

Another side of the same triangle measures

3x + y.

The third side of the same triangle measures

4x - 2y.

According to the above problem, the equation are

3x+y=40........(i) and 4x-2y=40.........(ii)

Divide the equation (ii) by 2, we get

2x-y=20..........(iii)

Now solving for x and y we get,

3x+y=40.......(i)

2x-y=20........(iii)

5x =60

x=60/5

x=12

Putting the value of x in equation in equation (iii) we get

24-y=20

y=24-20

y=4

The values of x and y that would keep the triangle equilateral are 12 and 4 respectively.

Hence, the value of x is 12 and y is 4.

Related Questions

find the equation of the line that contains The given point and is perpendicular to the given line. Write the equation in slope intercept form, if possible. (21,7); 7x-5y=6

Answers

Answer:

an = 63(-1/3)^(n-1)

Step-by-step explanation:

This is a geometric sequence with first term 63 and common ratio -1/3.

The equation for the nth term is

an = 63(-1/3)^(n-1).

There are 17 marbles in a bag; some are red, some are blue. The number of red marbles is 3 less than 4 times the number of blue marbles. How many marbles are red? How many are blue? WRITE AND SOLVE a system of linear equations to find how many red and blue marbles there are.

Answers

Step-by-step explanation:

anda lol wkkkkkkwkwkwkwkwk.......

7. Chris used some square tiles to make an array. He made 8 equal rows
and had 3 tiles left over. He started with more than 80 tiles, but less than 100.
a) How many tiles did he start with? Find more than one answer.
Show your steps.

Answers

Answer:

83 and 91

Step-by-step explanation: 10 rows of 8.

8x10 =80

80+3=83

Next option 11 rows of 8

8x11=88

88+3=91

9(2k-3m)-9m-4(-3m-3k)

Answers

Answer:

30k−24m

Step-by-step explanation:

Consider the diagram and angle measures shown below.
m1 = (3x +25)
m2 = (7x+5)
m3=(-2x + 70)
4
3
2
What is the value of m
3?

Answers

It is -35 that what I think

The first floor of a tiny house has the length of 11 feet. The width of the kitchen feet is 7 feet and the width of the bottom bathroom feet is 4 feet the expression 11(7+4) represents the total area in the square feet.

why an expression to represent a total area as a some of the areas of each room

Answers

the blanks should be 7 and 4

Answer:

11 and 4

Step-by-step explanation:

what times itself 3 times equals -27

Answers

Answer:

the answer for 3 times -27 is -81

Step-by-step explanation:

hope it helped ! :)

Answer:

-3

Step-by-step explanation:

x³ = -27

x = ∛(-27) = -3

Martha went to a restaurant with some friends. The three of them split a large pizza. Martha spent a total of $11. How much was the large pizza? (pleasee!!)

Answers

Answer:

$33 or $11

Step-by-step explanation:

There could be two scenarios:

1. Three friends share the pizza and pay equally. The price is then:

11*3 = 33$

2. Three friends share the pizza that Martha paid for. The price is then:

11$

Simplify the expression
5x - 7y + 4y – 12x

Answers

This is simplified to -7x-3y

Answer:

-7x-3y

Step-by-step explanation:

5x-7y+4y-12x

Collect like terms

-7x-7y+4y

Connect like terms

-7x-3y

The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the
point (-15, 8)
a. 5x + 4y + 43 = 0
c. - 15x + 8y = 0
b. 8x + -15y = 0
d. 5x + 4y = 0

Answers

Answer:

its a

Step-by-step explanation:

just did it on edg2021

Help me plssssssss :))

Answers

In the function the input is the variable x. The question states that the output is 6 times the input you will need to multiply the input by 6 and write it as a function so you need to set the output Y = to 6 times the input X and you get
y = 6x

PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION

Answers

I dont have my calculator with me but first find the square root of 6 and it will give u a decimal number and then just plot it

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

There are 9 marbles representing 3 different colors. Write a problem where 2 marbles are selected at random without replacement and the probability is 16.
Answer fast pls! <3 xx

Answers

Answer:

There are 9 marbles in the bag. We pick 2 without replacement and get a probability of 1/6.

Each draw of a marble has a probability associated with it. Multiplying these gives 1/6 so let us assume the probabilities are (1/3) and (1/2).

In order for the first draw to have a probability of 1/3 we need to draw a color that has (1/3)(9)=3 marbles. So let's say there are 3 red marbles. The P(a red marble is drawn) = 1/3.

Now that a marble has been drawn there are 8 marbles left. In order for the second draw to have a probability of 1/2 we must draw a color that has (1/2)(8) = 4 marbles. So let's say there are 4 blue marbles out of the 8.

Since there are 9 marbles to start and we have 3 red marbles and 4 blue marbles, the remaining 2 marbles must be a different color. Let us say they are green.

The problem is: There are 3 red marbles, 4 blue marbles and 2 green marbles in a jar. A marble is picked at random, it's color is noted and the marble is not replaced. A second marble is drawn at random and its color noted. What is the probability that the first marble is red and the second blue?

Which graph shows the volumes, V, of rectangular prisms with lengths of 2 centimeters, widths of 3 centimeters, and heights of h?
On a coordinate plane, the x-axis is labeled Height of Prism (centimeters) and the y-axis is labeled Volume of prism (cubic centimeters). A line goes through points (0, 0), (1, 6), (2, 12).

On a coordinate plane, the x-axis is labeled Height of Prism (centimeters) and the y-axis is labeled Volume of prism (cubic centimeters). A line goes through points (0, 0), (6, 1), (12, 2).

On a coordinate plane, the x-axis is labeled Height of Prism (centimeters) and the y-axis is labeled Volume of prism (cubic centimeters). A line goes through points (0, 0), (6, 4), and (12, 8).

On a coordinate plane, the x-axis is labeled Height of Prism (centimeters) and the y-axis is labeled Volume of prism (cubic centimeters). A line goes through points (0, 0), (2, 3), (4, 6).

Answers

Answer:

Step-by-step explanation:

took the test

Answer:

Step-by-step explanation:

took the test

which system of equations has only one solution?

Answers

Answer:

I think its the first one

Step-by-step explanation:

4x + 2y = 8

--4x - 2y = 3

I hope this is right

The probability that A is the outcome of an experiment is 0.3
What is the probability that A is not the outcome?

Answers

Answer:

Step-by-step explanation:

1) Are p+p+p+p and 3p equivalent?

Answers

Answer:

no!

Step-by-step explanation:

each p has an "invisible" 1, so it'd be 1p + 1p + 1p + 1p = 4p, not 3p

Need an answer fast!!!

Point P has coordinates (1, 3). Point Q has coordinates (4, 8). How long is the line segment? Round to the nearest tenth if necessary.

Answers

Answer:

The length of the line segment is of 5.9 units.

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between these two points is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

How long is the line segment?

The distance between points P and Q. So

P(1,3), and Q(4,8).

[tex]D = \sqrt{(4-1)^2+(8-3)^2} = \sqrt{3^2 + 5^2} = \sqrt{34} = 5.9[/tex]

The length of the line segment is of 5.9 units.

Find the area of the following shape:

Answers

Answer:

52 m²

Step-by-step explanation:

A(trap) = 1/2h · (sum of bases)

A = 1/2(8)·(3 + 10)

A = 4(13)

A = 52

PLEASE I WILL GIVE BRAINLYIEST Determine which numbers the equations can be multiplied by to create opposite terms of the x-variable.
1/2x-1/4y=-3
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Which number can the second equation be multiplied by?

Answers

Answer:

For the first 2 for the second 3

Step-by-step explanation:

first would be 1x the second would be -1x

Answer:

2 and 3

Step-by-step explanation:

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented by the table.

A two column table with 6 rows. The first column has, Time in seconds, and has the entries, 0, 1, 2, 3, 4. The second column, Velocity in meters per second, has the entries, 0, 9.8, 19.6, 29.4, 39.2.
The acceleration due to gravity is the constant of variation. What is the acceleration due to gravity of a falling object?

4.9 9.8 StartFraction m Over s squared EndFraction.
9.8 9.8 StartFraction m Over s squared EndFraction.
10.2 10.2 StartFraction m Over s squared EndFraction.
19.6 19.6 StartFraction m Over s squared EndFraction.

Answers

Answer:

Step-by-step explanation:

edg2021

The value of the acceleration due to gravity is 9.8 m/s^2.

What is the acceleration due to gravity?

Now we know that the acceleration due to gravity is the slope when you plot the graph of velocity against time for motion under gravity.

Now we must look at the data given and use;

v = u + at

Given that the object was dropped, u = 0 hence

v = at

at t = 1 s and v = 9.8 m/s

a = 9.8 m/s/ 1 s

a = 9.8 m/s^2

This value remains the same irrespective of the time that you pick hence it is the value of the acceleration due to gravity.

Learn more about acceleration due to gravity:https://brainly.com/question/10892047

#SPJ9

What are the new coordinates of the figure above if it is rotated 180° clockwise about the origin?
A. (3,3), B'(-3,7), C'(3,7)

B. (-3,3), B'(-7,3), C'(-7,-3)

C. (-3,3), B'(-7,3), C'(7,-3)

D. (3,3), B'(3,7), C'(-3,7)

Answers

Answer:

Step-by-step explanation:

Answer:

A'(3,3), B'(3,7), C'(-3,7) (for you D)

Step-by-step explanation:

Multiply each coordinate by -1

Had the same question and saw you needed help :)

What is the area of Rectangle PQRS in the xy-coordinate plane below?

Answers

Answer:

Area of Rectangle PQRS = 12

Step-by-step explanation:

P.S - The exact question is -

Given -

P = (2, 2)

Q = (6, 2)

R = (6, 5)

S = (2, 5)

The graph is as follows :

As we know that Area of Rectangle = Length × Breadth

Here Length of Rectangle = PQ

Breadth of Rectangle = PS

⇒ Area of Rectangle PQRS = PQ×PS = 4×3 = 12

What is the slope of the line parallel to the line in part a above how do you know what is the relationship between lines that are parallel ?

What is the slope of the line. Perpendicular to the line in part a above how do you know what is the relationship between lines that are perpendicular

Answers

Answer:

If lines are perpendicular, their slopes are the negative reciprocals

Step-by-step explanation:

"Out of" is used when you want too divide . True or false ?

Answers

Answer:

I think it's true

Step-by-step explanation:

Answer: this is true

Step-by-step explanation:

The term out of is express as a fraction

Example:

1/2

This is 1 out of 2

Hope this helps ;)

Hardy was given the scale drawing of the enlargement to find the scale factor and missing lengths. His work is shown below. Side A corresponds with 1.5, side B corresponds with 4, and a side with length 30 corresponds with a side with length 6. 1. Scale factor = StartFraction Scale drawing dimension over original dimension EndFraction = StartFraction 30 over 6 EndFraction = 5. Side A = 1.5 + 5 + 6.5. Side B = 4 + 5 = 9. Analyze Hardy’s work to determine if he is correct. If he is incorrect, what is his error? Yes. Hardy is correct. No. Hardy should have used the ratio of the original to the scale drawing to find the scale factor. No. Hardy should have multiplied by the scale factor to find the missing length. No. Hardy should have divided by the scale factor to find the missing length.

Answers

C. No. Hardy should have multiplied by the scale factor to find the missing length.

Sammy buys a pound of cheese for $3.69, a pound of ham for $7.99, and a pound of shrimp for $12.99. How much money does Sammy spend altogether

Answers

Answer:

24.67

Step-by-step explanation:.

Answer:

degyddheiodo6w

Step-by-step explanation:

Which property was used to simplify the expression?

3c+9+4c=3c+4c+9
distributive property
commutative property
associative property
inverse property

Answers

Answer:

commutative property

Step-by-step explanation:

Either order or way you put the numbers, it will be the same answer.

(+12) + (-13) =
Cuánto es y porque, operación completa.

Answers

Answer:

-1

Step-by-step explanation:

12 + -13 = -1

Need help solving!!!!

Answers

It is 3 cause they are all the same leatheth so 3

Answer:

no its 2

Step-by-step explanation:

because 21+3=7. and 14+7=2. so it's 2

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WILL MARK BRAINLIEST! THANK YOUUUU An equilateral triangle has a side length of 40. Another side of the same triangle measures 3x​ + y. The third side of the same triangle measures 4x​ - 2y. What are the values of x and y that would keep the triangle​ equilateral?

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WILL MARK BRAINLIEST! THANK YOUUUU
An equilateral triangle has a side length of 40.

Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?