An equilateral triangle has a side length of 30.
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=9

y=3

Step-by-step explanation:

since all three sides of an equlateral triangle are equal:

3x+y=30   then y=30-3x

4x-2y=30

4x-2(30-3x)=30

4x-60+6x=30

10x=90

x=9

3x+y=4x-2y

x=3y

y=3


Related Questions

Which graph represents this system?
Y=3
X+ y = 4


Answers

Answer:

Step-by-step explanation:

Please help me!!!!

3. Compute the product axb in each of the
following cases:
a) a = -7.5
and b=0.25 ;
b) a = -2.5
and b=-18;
c) a = -812
and b=-0.75;
d) a = 4.25 and b= -326.​

Answers

Answer:

a). -7.5*0.25 = -1.875

b). -2.5*(-18) = 45

c). -812*(-0.75) =609

d). 4.25*(-326) = -1385.5

Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?
No solutions
Infinite solutions
(32)
(9,2)

Answers

Answer is -Infinite solution

I have no idea what to do please help

Answers

Answer:

CD- transversal

XY AND ZW - parallel lines

and the other vertical angles

Answer:

XY and ZW: Parallel Lines, angles 2 and 4: same side interior angles, angles 1 and 3: vertical angles, angles 1 and 7: alternate exterior angles, no idea for line CD

Step-by-step explanation:

Determine which fraction is smallest given 21/64, 5/16, 11/32, 1,2

Answers

Answer :

5/16

Explanation :

5 divided by 16 is less than the other one equations

can someone answer this for me please and thank you !!

Answers

Answer:

gfcdxgstez5xdyrfctugv-

_=+86545

Step-b57645745y-step explanation:

uygtf57d4ftv

Enola surveyed 300 of the students in her school about their favorite color. 78 students said their favorite color was purple. What percentage of the surveyed students said their favorite color was purple?

Answers

Answer:

26%

Step-by-step explanation:

I did some simple math here: a percentage represents a number over 100.

To find the percentage, I just divided 78 by 300 and got 0.26

I then multiplied by 100 to get 26%

Hope this helps! Have a great day!

help please!! :( this is very confusing

Answers

Answer:

48

Step-by-step explanation:

E is the midpoint so ED=2BD

Answer:

ED=48

Step-by-step explanation:

ED=1/2 BD

ED=48

Uma colônia de bactérias duplica de tamanho a cada dois dias. Começando com apenas um representante, quantos membros terá a colônia depois de um mês?

Answers

Answer:

Espero que isto ajude!

Step-by-step explanation:

q  duplica  logo a razão q =2

1 hora = 60 minutos

4 hs *  60 min = 240 minutos ou 240 : 6    = 40  vezes   6 minutos

Nota >  240 minutos tem 40 * 6 minutos

n = 40

a1 = 6 min  = 3

a2 = 12 min = 3 * 2 = 6

q3 = 18 min  =  6  *2  =12

an = a1 * q^n-1

a40  = 3 * 2^40-1

a40 = 3 * 2^39

a40  = 3 * 5497559  =16492677 >>>>>

Which pair of angles is congruent?

Answers

You need to show us the triangle/s

The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The are of the resulting rectangle is 90ft^2. Find the original area of the square.

Answers

Answer:

64 ft^2

Step-by-step explanation:

(x+7)(x-2)=90

x^2-2x+7x-14=90

x^2+5x-104=0

factor

(x+13)(x-8)=0

x=-13

x=8 ft original square side

area=8x8=64

Answer:

64 ft^2

Step-by-step explanation:

What is the inequality for -8x>48

Answers

Answer: x<−6

Step-by-step explanation:

Find an ordered pair (x, y) that is a solution to the equation. x-3y = 6​

Answers

an answer is (9,1)........

Answer:

(0, -2)

(6, 0)

Step-by-step explanation:

pick a value for 'x', plug it into the equation, then solve for 'y'

pick a value for 'y', plug it into the equation, then solve for 'x'

what is the answer to 4 - (-4)

Answers

The answer to this question is 8

What is BC in simplest radical form

Answers

Answer:

Step-by-step explanation:

Draw altitudes from A and D to get two 30°-60°-90° triangles.

The sides of a 30°-60°-90° triangle are in the ratio 1:√3:2.

BC = 3√3 + 16 + 9√3 = 16 + 12√3

Darius is putting tiles on the roof of his house. After working for 3 1/3 hours, he has completed 4/5 of the roof. Can Darius put the titles on the enitre roof in 4 hours if he continues to work at the same rate?

Answers

Answer:

No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = [tex]$\frac{4}{5}$[/tex] th of the work

He takes time = [tex]$3 \frac{1}{3}$[/tex] hours to complete [tex]$\frac{4}{5}$[/tex] th of the work

The remaining work = [tex]$1 -\frac{4}{5}$[/tex]

                                 [tex]$=\frac{5-4}{5}$[/tex]

                                 [tex]$=\frac{1}{5}$[/tex]

∴  Darius completes [tex]$\frac{4}{5}$[/tex] th of the work in = [tex]$\frac{10}{3}$[/tex] hours

                           So, [tex]$\frac{1}{5}$[/tex] th of the work in = [tex]$\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$[/tex] hours

                                                                 [tex]$=\frac{10}{12}$[/tex] hours

Therefore total time taken to complete the work [tex]$=\frac{10}{3}+\frac{10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{40+10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{50}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{2}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{1}{6}$[/tex] hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.  

                                                                                 

t/27 = 36 algebra, I'm stuck on this and can't figure it out

Answers

Answer:

972

Step-by-step explanation:

t/27=36

t=36*27

t=972

Answer:

t=972

Step-by-step explanation:

t = 27 x 36

t = 972

Check:

972/27 = 36

Check!

Hope that helps!

Record sales are increasing by 5% each year. If 800,000 records were sold this year, what will annual sales be in 3 years?

Answers

Answer:

120000

Step-by-step explanation:

SOMEONE PLEASE HELP ME AND ANSWER THIS QUESTION CORRECTLY I WILL MAKE YOU THE BRAINLIEST, GIVE YOU A GOOD RATE, PLEASE ASWER THIS ASAPPPPPPPPP!!!!!!!!!!! I NEED HELP ASAPPPPPPPPPPP!!!!!!!!!!

Answers

Answer:

30  10  4

Step-by-step explanation:

Give Brainliest

NOTE: Angles not necessarily drawn to scale.
X = ____ degrees

Answers

Answer:

x =60°

Step-by-step explanation:

GOOD QUESTION BRO

HELP ASAP I will mark brainliest Emmy is flying a drone in a field near her house. She placed the drone on the ground and used the controls to make it rise at a constant rate. Then, she kept the drone at the same altitude for a few minutes before bringing it back down to the ground at a constant rate. Which graph shows the drone's altitude over time ?

Answers

Answer:

It is the one on the bottom right

Step-by-step explanation:

First of all, we have to start at (0,0), so we can cross out the one on the top left and top right, as they does not.

Also, the one on the bottom right does not go back to the ground, though just stays in the air, but the one on the bottom right dows go back to the ground.

So, its the one on the bottom right

What is the slope of the line that contains these points? xxx -4−4minus, 4 -3−3minus, 3 -2−2minus, 2 -1−1minus, 1 yyy 222 555 888 111111

Answers

Given:

The table of values is

x        y

-4      2

-3      5

-2       8

-1       11

To find:

The slope of the line that contains these points.

Solution:

From the given table consider any two point.

Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-2=\dfrac{5-2}{-3-(-4)}(x-(-4))[/tex]

[tex]y-2=\dfrac{3}{-3+4}(x+4)[/tex]

[tex]y-2=\dfrac{3}{1}(x+4)[/tex]

Using distributive property, we get

[tex]y-2=3x+12[/tex]

[tex]y=3x+12+2[/tex]

[tex]y=3x+14[/tex]

Therefore, the required equation of line is [tex]y=3x+14[/tex].

Answer: The slope is 1/5.

Step-by-step explanation:

You can find the answer by subtracting 6-1, (5) and 0-1,(1), which shows you 1/5. (Explanation sucks, sorry)

:)

I need help using the Expand Group and Factoring method on this problem.

27a^2+72a+28

Answers

Answer:

1 x (27a^2+72a+28)  or 1(27a^2+72a+28)

Step-by-step explanation:

First find the GCF (greatest common factor) of 27a squared 72a and 28. It is 1 because there is nothing else that can go in.

So put 1 outside the parentheses and keep the terms

1 x (27a^2+72a+28)

The product of two consecutive positive integers is 56. Find the two integers

Answers

Answer:

Two consecutive integers are of the form

x and x + 1

Their product is equal to 56

x(x + 1) = 56

Solve and find the two numbers x and x + 1. The above equation may be written as follows

x2 + x - 56 = 0

Factor and solve

(x - 7)(x + 8) = 0

solutions: x = 7 , x = -8

x= - 8 is not valid since the number sought must be positive. Hence

x = 7 and x + 1 = 8 are the two consecutive numbers.

Step-by-step explanation:

How to find the volume of a cone?

Answers

Use the formula, R being for radius and H for height

No question, just whoever needs free answers.
Answer this and get free answers for a bit.

Now what's 2+2?

Answers

Answer:

4 lol

Step-by-step explanation:

Answer:

 

Step-by-step explanation:

Last year, 576 students attended a local middle school. This year, 721 students attended the school. What is the approximate percent increase in the number of students at the school?

Answers

The answer is 145 I hope that helps all you got to do is subtract 721 from 576

Classify the triangle 3 8 12

Answers

Scalene is the correct answer(Assuming you mean side lengths when you say 3, 8, 12.)Please let me know if I am wrong.

Но
How much does each bead necklace cost?
You can buy a 35-pound box of beads for $43.95.
A 35-pound box of beads contains 30 bags of 12
necklaces each.
Step 1: How many necklaces are in a box?

Answers

360 because you would do 30 bags x 12 necklaces

B, the correct answer is B

What is the equation of the line that passes through (-3, -1) and has a slope of 3/5 ? Put your answer in slope-intercept form.

y = 3/5x + 4/5
y = -3/5 x - 4/5
y = 3/5x - 4/5

Answers

Answer:y=3/5x+4/5A

I hoped this helped

THE ANSWER IS: y = 3/5 + 4/5

first plug the slope and the given point into point-slope from: (y-y1) = m (x-x1)
m=slope= 3/5
point=(x1,y1) = (-3,-1)

(y+1) = 3/5 (x+3)
solve for y to get slope-intercept form
y+1 = 3/5x + 9/5
y = 3/5x + 4/5

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