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

There are 20 sweets in a box.
x of the sweets are red.
The rest of the sweets are yellow.
Tom takes at random a sweet from the box.
Write down an expression, in terms of x, for the probability that Tom takes a yellow sweet.

Answers

Answer:

[tex]probability \: of \: getting \: red \: sweets = \frac{x}{20} \\ probability \: of \: getting \: yellow \: sweets \: = \frac{(20 - x)}{20} [/tex]

The probability of getting red sweets is x/20 and the probability of getting yellow sweet is (20-x)/20.

What is a probability?

Probability is about estimating or calculating how likely or 'probable' something is to happen.

Given that x is the number of red sweets.

The total number of sweets is 20.

The number of yellow sweets = 20 - x.

The probability of getting a red sweet is given by

P(x) = x/20

The probability of getting a yellow sweet is given by

P(20-x) = (20-x)/20

Hence, x/20 is the probability of getting a red sweet and (20-x)/20 is the probability of getting yellow sweet.

To learn more about probability, use the link given below:

https://brainly.com/question/11234923

#SPJ2

What is the equation in standard form?

Answers

Answer:

just cause

Step-by-step explanation:

Slope:

8

y-intercept:

2

this is the answer to that question

The same price of every item in a store is 85% of it usual price. ( please explain your answer because I don’t understand how to solve this)

The usual price of a backpack is $30, what is its sale price?

Answers

85% is 0.85 decimals
85 percent of 30
30 * 0.85 = 25.50
30-25.50 = 4.50
Solution: after sale, it is $4.50

Plz help meeeee plz

Answers

Answer:

Less than

Step-by-step explanation:

Its less than because the angle of LS is 98 while MS is 95, so LS is longer

What is 1+1 * the square root of 199 and 198

Answers

Answer:2.14.07

Step-by-step explanation:

PLZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORK

Answers

Answer:

55

13(3/4)=55/4

55/4/4=55

PLEASE HELP IM BEGGING!!!

Answers

Answer:

-15

Step-by-step explanation:

I am stuck on this question. I need help!​

Answers

The correct answer is D

PLEASE HELP!! BEING TIMED!! WILL GIVE BRAINLY

Answers

Answer:

Angle 6=57     angle 5= 123

Step-by-step explanation:

angle 6 is congruent to angle 3, which is 57 degrees

To find angle 5, we look at both angles 5 and 6's lines. The lines show us that both angles equal to 180, so we subtract 57 from it.

9. Determine which of the following sequences is a geometric sequence. Check all that apply.
3,9, 27, 81, ...
100, 90, 80, 70, ...
5, 10, 20, 40, ...
2, 10, 18, 26,...
625, 125, 25, 5, ...
-2, 6, -18, 54, ...

Answers

Step-by-step explanation:

first geometric sequence

3^1, 3^2 ,3^3, 3^4,......

3, 9, 27, 81.......

second

5^1, 5^2, 5^3, 5^4,........

5, 25, 125, 625,........

third

2, 10, 18, 26,.....

which has the difference of 8

fourth

100, 90, 80, 70,......

Which expression is equivalent to 2x^2−18?

Answers

Answer:

2x² - 18 = 2(x² - 9) = 2(x - 3)(x + 3)

Step-by-step explanation:

Which company has the highest charge per attendee?

Answers

Step-by-step explanation:

As an event planner, you may have noticed the steadily increasing online event registration fees. Moreover, many people are anticipating the next economic crisis is coming soon. It may trigger you to think about looking for a new registration system that’s affordable yet still flexible and easy to use.

So we are here to help you search for the best option for your event registration. Start by going through our checklist so you can understand what to look for. Then, check the pricing comparisons of the top 7 online event registration software options out there, so you can browse them side by side to find the best one for you. Save time (and money!) and find the perfect online event registration for your next event.

Step 6: Choose the answer that has the numbers
below listed from least to greatest.
3
6
6.285, 627 %, 6. 28, 21

Answers

Answer:

627% 6.285 6. 28 21 6 3

Step-by-step explanation:

Um.. I did it from greatest to least but here it is!

How can you best describe how to determine if a sequence is arithmetic or geometric?

Answers

Maybe finding out through calculator

Tawanna is asked to find the GCF of each term in the expression 2 a b + 8 b. Her work is shown below.

Factors of 2ab: 1, 2, a, and b
Factors of 8b: 1, 2, 4, 8, and b
GCF: (1) (1) (2) (2) (b) (b)

Which best describes the error in Tawanna’s solution?
Tawanna factored one or both pieces of the expression incorrectly.
Tawanna did not include each factor in the GCF.
Tawanna should have used each common factor once.
Tawanna included only one of the variables in her solution.
Mark this and return

Answers

Answer:

Tawanna should have used each common factor once.

Step-by-step explanation:

Tawanna is asked to find the GCF of each term in the expression 2 a b + 8 b.

Factors of 2ab: 1, 2, a, and b

Factors of 8b: 1, 2, 4, 8, and b

GCF: (1) (1) (2) (2) (b) (b)

GCF = Greatest common factor

She has calculated the GCF incorrectly as she should use each common factor once only. But she has taken all the common factors twice which is wrong.

Hence, the error in Tawanna’s solution is that "Tawanna should have used each common factor once.". Hence, the correct option is (c).

Answer:

C - Tawanna should have used each common factor once.

Step-by-step explanation:

Just gotit right on edge 2021! :) have a good day!

Find the nth term of this quadratic sequence
4,9, 16, 25, 36,​

Answers

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The terms are square numbers with each term shifted to the right by 1

That is 1, 4, 9, 16, 25, 36, .....

Thus to obtain 4 in the first position, then

n = 1 → (1 + 1)² = 2² = 4

To obtain any term add 1 to its position in the sequence, that is

[tex]a_{n}[/tex] = (n + 1)²

I dont know why it says im in high school im in middle school. But anyways can someone please explain how to get percentage.

Answers

Answer:

Step-by-step explanation:

To change a decimal into a percent you multiply by 100.

If there is a fraction that you need to convert into a percent. Completely divide the fraction. 4/5 = 0.8 then multiply by 100 you get 80%. This means that 4 is 80% of 5

Answer:

how to get a percentage from a decimal is when you take the decimal point and move it twice to the left

Step-by-step explanation:

for example

.07 = 7%

does that make sense?

can someone help please

Answers

Answer:

1.6

Step-by-step explanation:

Han wants to buy a $30 ticket to the game but the pre-order tickets are sold out he knows that there will be more tickets sold the day of the game with a mark up of 200% how much should han accept To pay for the tickets if he buys it the day of the game

Answers

Answer:

Solution in photo

Step-by-step explanation:

6. Choose the correct common fraction.
1/2
2/3
0.1
0.5

Answers

Answer:

1/2 most likely everyone says "half" instead on "point five"

Answer:

Step-by-step explanation:

The answer is 2/3 because it can not be represented in any other way

5x^2+2x-3=0 by factorisation method​

Answers

Answer:

x = - 1, 0.6

Step-by-step explanation:

[tex]5 {x}^{2} + 2x - 3 = 0 \\ \\ 5 {x}^{2} + 5x - 3x - 3 = 0 \\ \\ 5x(x + 1) - 3(x + 1) = 0 \\ \\ (x + 1)(5x - 3) = 0 \\ \\ x + 1 = 0 \: \: or \: 5x - 3 = 0 \\ \\ x = - 1 \: \: or \: \: x = \frac{3}{5} \\ \\ x = - 1 \: \: or \: \: x = 0.6 \\ \\ x = - 1, \: \: 0.6[/tex]

Answer:

X= -1 or X=3/5

Step-by-step explanation:

5x^2+2x-3=0

(x+1)(5x-3)=0

x= -1 or 5x/5=3/5

x=3/5

What are 3 different ways to write a ratio?

Answers

Answer:

Cross Multiplication.

Proportion.

½ =

/

proportionate. 1:2 = 4:8. 1 to 2 = 4 to 8.

Step-by-step explanation:

With the word to
Ex: 3 to 4

As a fraction
Ex: 1/2

And with a colon
Ex: 3 : 4

Find the third side in simplest radical form:

Answers

Answer:

9 1/2

Step-by-step explanation:

i think think this may be the anwser

While shopping for clothes, Jocelyn spend $80 less than three times what Tracy spent. Jocelyn spend $10. Right and solve an equation to find out how much Tracy spent. Let X represent how much Tracy spent.

Answers

Tracy = x
Jocelyn = 3x - 80
When y = 10
y = 3x - 80
10 = 3x - 80
90 = 3x, x = 30
Solution: Tracy spent $30
If Daniel spent x
x dollars, then Tracy spent 3x−8
3x−8 dollars. Since Tracy spent $10, we can write the equation:

3x−8=10
3x−8=10

Solve for x
x. Add 8 to both sides:

3x=18
3x=18

Divide both sides by 3:

x=6
x=6

So, Daniel spent $6.

the vertices of xyz are x (1,-4)

Answers

Answer:

5. The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

6. The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

Step-by-step explanation:

If the point (x, y) translated by T → (h, k), then its image is (x + h, y + k)

#5

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (-4, -3)

h = -4 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + -4, -4 + -3)

X' = (-3, -7)

∵ Y' = (-2 + -4, -1 + -3)

Y' = (-6, -4)

∵ Z' = (3 + -4, 1 + -3)

Z' = (-1, -2)

The vertices of ΔX'Y'Z' are (-3, -7), (-6, -4), (-1, -2)

#6

In ΔXYZ

∵ X = (1, -4), Y = (-2, -1), Z = (3, 1)

∵ T → (5, -3)

h = 5 and k = -3

→ Use the rule above to find the image of the vertices of the Δ

∵ X' = (1 + 5, -4 + -3)

X' = (6, -7)

∵ Y' = (-2 + 5, -1 + -3)

Y' = (3, -4)

∵ Z' = (3 + 5, 1 + -3)

Z' = (8, -2)

The vertices of ΔX'Y'Z' are (6, -7), (3, -4), (8, -2)

What is the area of the building below? *

Answers

you’ll need to split the shape into 2 rectangles then find the area of both the rectangles and add them together.
30*10=300
20*10=200
area=500

Enter numbers into the table so that the paired values are in a proportional relationship. x 2 6 8 20 y 3 4 6 10

Answers

Answer: X 2,6,8,12,20

Y 1,3,4,6,10

Step-by-step explanation:

Divided by 2 too get the answers  or add 10 + 10 you’ll get the answer

Answer:

Y 1,3,4,6,10

Step-by-step explanation:

took the test c:

Simplify 3 1/4 ÷ 1 1/2 / 2 1/2

Answers

Answer:

65/12

Step-by-step explanation:

13/4÷3/2×2/5=13/4÷3/5= 13/4×5/3=65/12

helpppppppppppppppppppppppppppp

Answers

Answer:

B  y = 1.1x^2 +4.2x - 4.9

Step-by-step explanation:

For this one, try plugging in 1.

y = 1.1(1)^2 + 4.2(1) - 4.9

1.1 + 4.2 - 4.9

1.1 + 4.2 = 5.3

5.3 - 4.9 = 0.4

0.4 is the closest for (1, 0.3)

So the correct answer is B. All the others don't make sense and are not close enough.

Ol
© The ratio of boys to girls in a class is 5:4. There are 36 students in the class. How many
students are girls?​

Answers

Answer:

16

Step-by-step explanation:

[tex]no \: of \: girls = \frac{4}{5 + 4} \times 36 \\ \\ = \frac{4}{9} \times 36 \\ \\ = 4 \times 4 \\ \\ = 16[/tex]

Answer:

Step-by-step explanation:

let the ratio of boys and girls be 5x and 4x

According to question,

5x+4x = 36

or, 9x= 36

x=4

number of boys = 5x

                            = 5·4= 20

number of girls = 4x

                         = 4.4=16

therefore the total no of boys is 20 ans girls is 16

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