A side of a square is 10 cm longer than the side of an equilateral triangle. The perimeter of the square is 3 times the perimeter of the triangle. Select the equation that represents the scenario when x represents the side of the triangle.

Answers

Answer 1

Here's the solution :

Side of the equilateral triangle = x

Side of square = x + 10

perimeter of equilateral triangle = 3 × x = 3x

perimeter of square = 4 × (x + 10)

now, according to above statement :

permission (square) = 3 × perimeter (triangle)

that is :

[tex]4(x + 10) = 3 \times 3x[/tex]

[tex]4x + 40 = 9x[/tex]

[tex]9x - 4x = 40[/tex]

[tex]5x = 40[/tex]

[tex]x = 8[/tex]

therefore, side of triangle = 8 cm

perimeter (triangle) = 8 × 3 = 24 cm

side of square = 8 + 10 = 18 cm

perimeter of square= 18 × 4 = 72 xm
Answer 2

Answer:

Let the side of the equilateral triangle = x

so the side of the square =  x+10

The perimeter of the triangle = 3x

and the perimeter of the square = 4(x+10)

condition : the perimeter of the square is 3 times the perimeter of the triangle.

so, 4(x+10) =  3*(3x)

Step-by-step explanation:


Related Questions

Amanda can jog 18 miles in 5 hours.

Answers

Answer:

the probelm does not make sense

Step-by-step explanation:

you can try dividing

Answer:

14.4 miles

Step-by-step explanation:

Amanda can jog 18 miles in 5 hours.

At the same rate how many miles can Amanda jog in 4 hours=??

solution:

Distance covered by Amanda in 5 hours = 18 miles

Distance covered in  1 hour = 18/5 miles

Distance covered in  1 hour is =3.6

Distance covered in 4 hours = 4*3.6=14.4

Hence Amanda can jog 14.4 miles in 4 hours

Help please and no links

Answers

Answer:

D

Step-by-step explanation:

right 6 units , B is 3,6 which is right 6 units from point f

Answer:

you

point

stealer.com

Step-by-step explanation:

There are 6 squares and 9 circles. What is the simplest ratio of squares to
total shapes?

Answers

Answer:

2:5

Step-by-step explanation:

Which table shows a linear function?
-4
- 1
1
2
3
у
8
2
2
4
6
-16
-8
х
-6
-2
0
1
3
-2.
2
y
0
-2

Answers

It’s 12 units long I
Hope it the answer just trying to help

HELP ME FAST PLEASE!!!!!
the volume of a triangular prism is 32 cubic inches. The prism is 2 inches tall. What is the area of the base of the triangular prism?
A. 4 square inches
B. 12 square inches
C. 8 square inches
D. 16 square inches

Answers

Answer:

D. 16 in²

Steps:

given:

V = 32 in³

h = 2

Ab = V/h

Ab = 32/2

Ab = 16 in²

help me please asap

Answers

C is the answer to you question

Help me please I need help with this math homework

Answers

What is the question?

Evaluate the expression for r = 2.

17 + r =

Answers

17+r= 19 because you replace r with 2 since r equals too and you get 19

Plz someone help me on these 2 questions!! I'm desperate :)

Answers

Answer:

Step-by-step explanation:

7. The graph does not touch the x axis and never will

8. Horizontal asymptote is y=-100

AB = [ 4 ]. Find A if B=(22]​

Answers

Answer:

A = 2/11

Step-by-step explanation:

22A= 4

(22A)/22 = 4/22

A = 4/22 = 2/11

5% of a number is 27.
1 %of the same number is 5.4
work out 14% of the number.

Answers

Answer:

75.6

Step-by-step explanation:

100*5.4=540

540/14=75.6

0) 9 deliveries in 3 hours deliveries in 1 hour Submit​

Answers

Answer: 3 delivers an hour

Step-by-step explanation:

9/3=3

what does a value of 8 in 589310 compare yo the value of the 8 ine 598301​

Answers

Answer:

10

Step-by-step explanation:

It is 10 times as much

Angle P and angle Q are supplementary angles. If m(angle)p is 21 degrees less than twice the measure of
Angle Q , find the measure of each angle.

Answers

Answer:

Angle Q: 67 degrees

Angle P: 113 degrees

Step-by-step explanation:

You can write an equation to solve this. We know that angle P + angle Q = 180. If we substitute angle Q into the second equation we get angle P = 2*angle Q -21.

Plugging that knowledge into the first equation, we get 2*angle Q-21 + angle Q =180. Simplifying, we get 3* angle Q -21 = 180. Adding 21 to both sides gives us 3*angle Q = 201, dividing by 3 gives us angle Q = 67. 180-67= 113 so angle P is 113.

Does anyone know the answer to this one ???


What number divided by −3 gives 12 as the result

Answers

Answer: -36

Step-by-step explanation: a negative and a negative give a positive so -36/-3=12

(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)

standard normal distribution​

Answers

Answer:

distribution form is like    12x6+24

Step-by-step explanation:

 standard form  is like 128                                                                                                                        

if you take 4 steps every 6 minutes, how long will 10 steps be?​

Answers

Answer:

15

Step-by-step explanation:

divide 6 into 4 than what ever your answer is multi... by 10

A flag is 100 inches tall and 149 inches long.
What is its perimeter in inches?

Answers

Answer:

498

Step-by-step explanation:

100+100+149+149=498

Triangle ABC maps to triangle A′B′C′ by a 90∘ rotation counterclockwise about the origin.

If AB=61 units, BC=11 units, and AC=60 units, what is the length of A′C′?
11 units
61 units
90 units
60 units

Answers

Answer:

60 Units

Step-by-step explanation:

The length of AC does not change. Since the translation is a rotation, nothing about the size of the triangle should change. Meaning A'B'C' is still 60 units in length.

The length of the side A'C' of the triangle after rotation is A'C' =AC = 60 units

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the triangle be represented as ΔABC

Now , the measures of the sides of the triangle are

The measure of side AB = 61 units

The measure of side BC = 11 units

The measure of side AC = 60 units

And , the triangle is rotated by 90° counterclockwise  about the origin

The coordinates of the triangle after rotation is A'B'C'

And ,

The measure of side A'B' = 61 units

The measure of side B'C' = 11 units

The measure of side A'C' = 60 units

The length of the sides of the triangle does not change during a transformation of rotation by any degree

Hence , the measure of side A'C' of triangle is 60 units

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ3

1.What should be the c-value in the equation shown below if the equation is a perfect square trinomial

Answers

Answer:

64

Step-by-step explanation:

a² + 2ab + b²

→ Identify the value of a

a = 1

→ Find b using a

-16 ÷ ( 2 × 1 ) = -8

→ Square the b term

( - 8 )² = 64

Sean Wrona is the fastest typist in the world and can type an average of about 500 words in three minutes.
What is Sean’s average typing speed in words per minute, WPM, to the nearest whole number?

Answers

Answer:

166.67 is answer of this question

Please help me im gonna fail.

Answers

Answer:

see below

Step-by-step explanation:

if the radius is 21, then the height is 24  (21 is 3 less than 24)

[tex]v=\pi r^{2} h\\v=\pi 21^{2} (24)\\v=\pi 441*24\\V=\pi 10.584\\v=3.14(10.584)\\V=33234[/tex]

the closest option would be the 33264

Pls Help and put a proper answer!
You want to buy a digital camera that costs $234. You have saved $50 so far. You earn $6.50 per hour at your summer job. Write and solve an inequality that represents the number of WHOLE hours you need to work in order to buy the digital camera.

Answers

6.5x+50>_234
C=#of hrs (>_ is the greater than equal to symbol btw)

6.5x+50>_234
-50. -50
6.5x/6.5>_184/6.5

x>_ 24 hrs


Answer:

H = (234 - 50)/6.50

H = 29 hours

Step-by-step explanation:

H = hours to work

H = (234 - 50)/6.50

H = 28.31 hours

Select the correct graph.

Which graph represents function f?

Answers

Answer: top right graph

Step-by-step explanation: Put in calculator and you will find the answer

Find the surface area of the pyramid.

Answers

You would Mylutilpy 14x16

According to one study, the average monthly cell phone bill in the U.S. is $70. If a 20-year old student with an average bill gives up her cell phone and each month invests the $70 she would have spent on her phone bill in a savings plan that averages a 4% annual return, how much will she have saved by the time she is 65?

Answers

Answer:

$37,800

Step-by-step explanation:

If she put 70 dollars in every month for 45 years she would have $37,800

The angle \theta_1θ
1

theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{9}{41}sin(θ
1

)=
41
9

sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of \cos(\theta_1)cos(θ
1

)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?

Answers

Trig identity are written in term of cosine, sine and tangent, he value of cosθ if the value of sinθ is 9/41 is 40/41

Trigonometry ratio

Given the following parameters

sinθ = 9/41

According to the SOH CAH TOA identity

sinθ = opposite/hypotenuse

Determine the adjacent sides

a= √41² - 9²

a = √ 1600

a = 40

Determine the value of cosθ

cosθ = adjacent/hypotenuse

cosθ = 40/41

Hence the value of cosθ if the value of sinθ is 9/41 is 40/41

Learn more on trigonometry identity here:https://brainly.com/question/7331447

#SPJ1

Answer:

-40/41

Step-by-step explanation:

he point A has coordinates A(2, 4). What are the X-coordinates of A′ for the dilation D1.5(A)?

Answers

Answer:

(3,6)

Step-by-step explanation:

For dilation, you just multiply the coordinates by the scale factor (in this case 1.5) to get the answer! Hope that helps :)

Timothy took 2/3 hr to paint a portrait. This was 1/3 hr shorter than the time he took to paint scenery. How long did he take to paint scenery? I need help ASAP

Answers

Answer:

1 hour

Step-by-step explanation:

2/3+1/3

=3/3 or 1

that's my answer

i hope it helos

Irene is making bags of trail mix for hiking club. She will use 22 ounces of walnuts, 11.2 ounces of
almonds, and 12.3 ounces of cashews. This amount makes 25 bags of trail mix. How many
ounces are in each bag?




Please help :/ if i dont finish theses questions i will go to summer school & i dont wanna go there

Answers

Answer:

In each bag there will be 1.82 ounces of mixture.

Step-by-step explanation:

Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:

(22 + 11.2 + 12.3) / 25 = X

45.5 / 25 = X

1.82 = X

Thus, in each bag there will be 1.82 ounces of mixture.

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