The length of the sides of ΔEFG are 144, 128, and 112. The length of the smallest sides of ΔQRS is 280. What is the length of the longest side of ΔQRS?

Answers

Answer 1
The answer is: " 355 " .
______________________________________________
The length of the longest side of ΔQRS is: " 355 " .
______________________________________________
Explanation:
______________________________________________
Given:
_________________________________________________
The smallest side of ΔQRS is 280.
_________________________________________________

In ΔEFG, the smallest side is 112 {compared to "144" and "128"}.

The longest side length of ΔEFG is "144" {compared to "128" and "112"}.

What is the length of the largest side of ΔQRS ?

Both triangles are similar, so the following ratios can be set up to solve the problem:

(the smallest side length of ΔEFG) / (the smallest side length of ΔQRS) =
(the longest side length of ΔEFG) / (the longest side length of ΔQRS) ;
__________________________________________________________
→ 112/ 280 = 144 / (the longest side length of ΔQRS);

We wish to solve for "(the longest side length of ΔQRS)" ;'
for which we shall represent with the variable, "x" ;
___________________________________________________
→ Rewrite as: 112/280 = 144/ x ;

Reduce "112/180" to: "2/5" ;

and rewrite: "2/5 = 144/x " ;

Cross multiply: 2x = 5(144) ;

Divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" :
___________________________________________

x = 355

Related Questions

A cube has a surface area of 600 square meters. What is its volume?
A.600 m³
B.300 m³
C.100 m³
D.1000 m³​

Answers

Answer: D, 1000 m^3.

Step-by-step explanation: We can find the volume by breaking down the surface area.

The formula for the surface area of a cube is 6*x^2 with x being the side length and 6 being the number of sides. Thus we can form the equation as follows:

600 = 6*x^2 - original equation

x^2 = 100 - divide both sides by 6

x = 10 - square root both sides

Thus, the side length is 10.

We can find the volume with the formula l*w*h or, in this case, x^3.

We know that x = 10, so x^3 must be 1000.

Thus, the answer is D, 1000 m^3.

Answer:

give the other guy brainliest please

Step-by-step explanation:

and yes it is 1000

help !! help !! help !!

Answers

Answer:

A: The cube of a number less than the square root of the number.

Step-by-step explanation:

None


What is the value of x in the equation 6(x +11)= -300?

Answers

Answer:

-61

Step-by-step explanation:

We use the distributive property to distribute 6 to both x and 11. This gives 6x+66=-300. Subtracting both sides by 66 gives 6x=-366. Dividing both sides gives x=-61.

what is 8 ÷ 2(2 + 2) = i have been stuck on this problem for 1 year now Halp !!!
will give brainliest for the right answer thats funny

Answers

Answer:

ok after reviewing this answer for the past 8 years i just figured it out

1(6)

Step-by-step explanation:

i know this may come as a huge shock however this is actually true. It's been a long emotionally journey finding this answer but please bear with me, as im crying really hard right now since I cannot believe I actually solved it. As unbelievable as it sounds I will not be providing work as i think my mind is too big and swag, but please believe me on this because im  literally the kid genius

edit: ok just ran this through my totally not paid for calculator with my mcdonalds money but it is actually 16 i am literally deleteing   my account this is so embarassing for me

Answer:

8÷2= 4 and (2+2)= 4 .....

Combine like-terms of 6x-2x-2=-3x+4(x+7)

Answers

3x-2 = 3x+4x+28x

3x-2 = 7x + 28

Solve the system of linear equations by substitution x-y=2 x+2y=5

Answers

Can anyone help me with my questions

Answer:

x = 3

y = 1

Step-by-step explanation:

x - y = 2    ---------------(I)

x + 2y= 5 ----------------(II)

x - y = 2

   x = 2 + y       _________(III)

Substitute x = 2 + y in equation (II)

2 + y + 2y = 5           {combine like terms}

     2 + 3y  = 5

           3y  = 5 -2

            3y = 3

              y = 3/3

y = 1

Substitute y = 1 in equation (III)

x = 2 + 1

x = 3

0.75x - y = - 2.1
0.6y 2.4x +9

Answers

Answer:

4x-3

Step-by-step explanation:

Yea

How many terms are in this expression?
9+ 8d+b

Answers

3

terms are separated by operations

Salma used a photocopier to dilate the design for a monorail track system. The figure shows the design and its photocopy: Two irregular quadrilaterals ABCD and EFGH are drawn. EFGH is the photocopy of design ABCD. AB measures 15 meters, DC measures 17 meters. No dimensions are shown on EFGH. The ratio of AD:EH is 1:2. What is the length, in meters, of side GH on the photocopied image? 15 17 30 34

Answers

Answer:

The answer is 34

Step-by-step explanation:

The ratio of AD:EH is 1:2, so therefore the other line segments have the same ratio. Using this logic, we see that DC is equal to 17 m, and we need to find GH. All we do now is double the measurement of DC since the ratio of the two shapes is 1:2.

Therefore, 17 * 2 = 34

Answer:

34

Step-by-step explanation:

hope this helps

Anna bought 6 bags of candy for a total of 19.68. Write an equation and solve to figure out how much each bag cost.

Answers

ummmmmmymumymtmjehrhhrhrhehherhrh

Answer:

The answer is $3.31.

Step-by-step explanation: Just divide 6 by 19.68

x
Equivalent ratios
ord
Select two ratios that are equivalent to 4: 18.

Answers

2:9 and 6:27 :////////

At 3 P.M., the temperature is 12°F. It then began dropping 2°F every hour for 7 hours. What was the temperature after 7 hours?

step-by-step needed?:)

Answers

All you need to do to answer this question is multiply 2 (the dropping temperature) by 7 (time in hours) which is 14. Subtract 14 from 12 and your answer is -2 degrees Fahrenheit

Expand the following :

A) 2(x+3)

B) 5(2x-4)

C) 4(2x+1)

D) 6(x-4y)​

Answers

Answer:

A. 2x+6 .  B. 10x-20        C. 8x+4         D. 6x-24y

Step-by-step explanation:

Solve the proportion (w+12)/(3w+5)=3/4

Answers

Answer:

[tex]w=6.6[/tex]

[tex]18.6:24.8::3:4[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\(w+12):(3w+5)::3:4\\By\ the\ proportion\ method\ of\ multiplying\ the\ means\ and\ the\ extremes,\\we\ get,\\(w+12)*4=3*(3w+5)\\4w+48=9w+15\\48-15=9w-4w\\33=5w\\[/tex]

[tex]w=33/5\\w=6.6[/tex]

[tex]By\ substituting\ the\ value\ of\ w\ in\ the\ proportion. you\ get:\\(6.6+12)/(3*6.6+5)=3/4\\18.6/24.8=3/4\\18.6:24.8::3:4[/tex]

convert (11001) into decimal​

Answers

Answer:

From the most right side it's 2^0 which is 1. The other ones are 2^4 and 2^3, So 16+8+1=25

A lake in East Texas was stocked with 3,000 trout in the year 2000. The number of fish in the lake is modeled by f(x) = 3000 + 100x, where x represents the number of years after 2000. Which of the following is the most reasonable domain and range for the function?

Answers

Answer: x ≥0,y ≥3000

Step-by-step explanation:

that’s what i put and got it right so ‍♀️

Which interval on the graph could be described as linear constant?

A coordinate plane is shown. A line is horizontal from x equals 0 to 2, increases from 2 to 4, decreases from 4 to 5, and decreases at a slower rate from 5 to 8.

A
B
C
D

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Jonathan is shopping for a frame for a square painting. Each side measures 9.5 inches. What is the perimeter of the painting?

Answers

8145 this is because you multiply them all together this is for all four sides

Find the area of a square if the sides measure 2 2/3 meters

Answers

Answer:

Step-by-step explanation:

2.66666666666666666666 * 2.666666666666666666 = 7.1111111111111 m

On a field trip ,there are 3 adults for every 45 students .which graph models a relationship with the same unit rate

Answers

I need the graph so I can answer it

Answer: bbb

Step-by-step explanation:

find the 66th term in the arithmetic sequence -92,-85,-78,-71,...

Answers

i believe it would be -64 since it takes 7 to get from each number :)

A rhombus, which is a quadrilateral with 4 equal sides, is plotted on the coordinate plane. The coordinates of the vertices are: (−1,0), (4,0), (2,4), and (7,4). How long is each side of the rhombus?

Answers

Answer:

Each side of the Rhombus is 5 units

Step-by-step explanation:

Since the sides of a rhombus area all equal in length;

Then, the length of a side is enough to get the lengths of the other sides

Mathematically, finding the distance between two points out of what we are given will be enough to get the measure of one of the side of the rhombus

We apply the distance formula appropriately to get the distance between the side of the Rhombus

D = √(x2-x1)^2 + (y2-y1)^2

let us use the points (-1,0) and (4,0)

D = √(4 + 1)^2 + (0-0)^2

D = √25

D = 5

What is the answer to this question?​

Answers

the answer is y-9,27 is 3

Find the area of the sector:
A=
yd? (Round to one decimal place)
210°
16 yd

Answers

469.1 yd^2 because I plugged it into the equation and I got that as the answer

Answer:

469.1 yd²

Step-by-step explanation:

The area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{210}{360}[/tex]

   = π × 16² × [tex]\frac{21}{36}[/tex]

   = 256π × [tex]\frac{7}{12}[/tex]

   ≈ 469.1 yd² ( to 1 dec. place )

Simplify: (5x2 - 9x + 3) + (4x2 + 4x - 12)
(1) 9x2 + 5x - 9
2) 9x2 - 5x + 15
3) 9x² - 5x-9
4) 9x2 - 13x - 9

Answers

Answer:

3) 9x² - 5x - 9

Step-by-step explanation:

Combine like terms

5x² - 9x + 3 + 4x² + 4x - 12 = 5x² + 4x²  - 9x + 4x    + 3 - 12

                                           = 9x² - 5x - 9

Help... it’s multiple choice math

Answers

Answer:

D

Step-by-step explanation:

This is equivalent to t < 4.

clearly this is not part of the set.

ill give brainly :))))

Answers

20 now give brainly

if that is not it its -20

To simplify the expression all you must do is add common numbers, when you add all the negatives you are left with -24 and 4r.
So I believe the answer is
4r + -24
or
4r-24

What is an equation of the line that passes through the point (-5, -1) and is
parallel to the line 4x + 5y = 45?

Answers

Answer:

y = -4/5 x - 5

Step-by-step explanation:

A chemist is using 353 milliliters of a solution of acid and water. If 14.7 of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth

Answers

Answer:

The amount of Acid in a solution = 51.9 millimeters

Step-by-step explanation:

Given that the total amount of solution of acid and water = 353 milliliters

Acid percentage = 14.7%

Thus, in order to determine the amount of acid, all we need is to multiply 353 with 14.7% or 0.147.

i.e

Amount of Acid = 14.7% of 353

                           = 0.147 × 353

                           = 51.9 millimeters

Therefore, the amount of Acid in a solution = 51.9 millimeters

There were 40 swimmers on the team last year. This year, there are 20 swimmers. What is the percent decrease?

Answers

i agree it should be 50%

Step-by-step explanation:

half of 40 is 20

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