Quadrilateral STUV is similar to quadrilateral ABCD. Which proportion describes the relationship between the two shapes?

Answers

Answer 1

Two figures are said to be similar if they are both equiangular (i.e., corresponding angles are congruent) and their corresponding sides are proportional. As a result, corresponding sides in similar figures are proportional and can be set up as a ratio.

 A proportion that describes the relationship between two similar figures is as follows: Let AB be the corresponding sides of the first figure and CD be the corresponding sides of the second figure, and let the ratios of the sides be set up as AB:CD. Then, as a proportion, this becomes:AB/CD = PQ/RS = ...where PQ and RS are the other pairs of corresponding sides that form the proportional relationship.In the present case, Quadrilateral STUV is similar to quadrilateral ABCD. Let the corresponding sides be ST, UV, TU, and SV and AB, BC, CD, and DA.

Therefore, the proportion that describes the relationship between the two shapes is ST/AB = UV/BC = TU/CD = SV/DA. Hence, we have answered the question.

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Related Questions

A batch of 26 television sets are being checked by two supervisors. Both start from the same end. One supervisor checks every
2nd set and puts a blue mark on it. Another supervisor checks every 3rd set and puts a green mark on it. How many television
sets will have BOTH a blue and a green mark on them​

Answers

Answer:

4

Step-by-step explanation:

Total number of television sets = 26

With the condition given that; every 2nd set had blue mark on it, and every 3rd set had green mark on it.

The number of only blue marked set is 8, while the number of only green marked set is 4.

So that, the number of television sets with both blue and green mark on them is 4.

Choose the two number sentences that are true.
A. 5+7= 11+2
B. 3 + 3 = 20 - 9
C. 5+9 = 19 - 4
D. 12 +7 = 5 + 14
E18 - 6 = 15 - 1

Answers

Answer:

D

because 12+7=19

5+14=19

Enter the value of n so that the expression (3y + 1) + (2y + 8) is equivalent to (ny + 9).

Answers

Answer:

Step-by-step explanation:

3y+1+2y+8=ny+9

5y+9=ny+9

5y=ny

n=5

A computer processor costs $96.00. It is expected that in 8 months the processor will cost 3/4 its current price. How much will it cost in 8 months?

Answers

72

Step-by-step explanation:

96 × 3/4 = 72

Hope this helps! (:

Multiplication is a method of finding the product of two or more numbers. After 8 months the cost of computer processor is $72

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

It is given that,

A computer processor costs initially $96.00

It is expected that in 8 months the processor will cost 3/4 its current price.

Which means its cost will 3/4 times of 96.

Whenever we use times it means product or multiply.

Three by four times of ninety six

3/4 ×96.

288/4

72

Hence after 8 months the cost of computer processor is $72

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Given the following data set: 111, 122, 133, 149, 126, 117, 101, 121
Find the values of the upper and lower quartiles.​

Answers

Answer:

the upper is 149

and the lower is 101

Step-by-step explanation:

sana makatulong

if you can help me i’ll make brainliest

Answers

Answer:

help me

Step-by-step explanationok so

Answer:

pts

Step-by-step explanation:

B. 13 (x - 10) = -4

Answer: x =
Its a neg #

Answers

X=9.69
you have to distribute the 13 to x and -10 which gives you 13x-130=-4 then you add 130 to -4 because your going over the equal sign and it gives you 126 next you divide 126 by 13 which gives you 9.69

a tree is broken at a height of 6 cm from the ground and its top touches the ground at a distance of 8cm from the base of the tree . find the original height of the tree pls do to step to step explaination ​

Answers

Answer:

I guess its 16

Step-by-step explanation:

Because

Hieght =6cm

Base = 8cm

Hypotenuse=?

by pythagoras formula = a^2+b^2=c^2

6 *6 + 8*8 =c^2

36 + 64 = c^2

100 =c^2

Root of 100 is 10

so the whole tree is = to 10 +6 =16

3. The functions f and g are defined by f: x → ax – b where a and b are constants and g: x → X+4.
Given fg(2) = 9 and gf (1/2) = 2, find the value of a and of b. ​

hiii this is adddmath can anyone help with this please

Answers

Answer:

fg(2) = 9 means that f(g(2)) = 9

We know that g(2) = 6

So f(6) = 9 which means that

6a - b = 9 (note 1)

And we know that g(f(1/2)) = 2

And we know that f(1/2) = 1/2(a) - b

So g(1/2(a) - b) = 2

Meaning that 1/2(a) - b + 4 = 2

So 1/2(a) - b = - 2 (note 2)

Using note 1 and 2 we can solve the equation

11/2(a) = 11 so a = 2 and b = 3

The bag has 2 yellow cubes, 5 green cubes, and 3 red cubes. Without replacing the yellow cube, what is the probability of selecting a red cube at random?

Answers

32% chance of selecting red at random.

what is the answer to this problem if you need to find out the area?

Answers

Answer:

17.28in

Step-by-step explanation:

To find the area of a triangle, multiply the base by the perpendicular height (the length from the point opposite the base, to the base, which makes a 90-degree angle with the base), and half it:

7.2*4.8=34.56

34.56/2=17.28

HELP PLEASE!! WILL GIVE BRAINLIEST!!!

Answers

The slope is 5/7

Step-by-step explanation:

When you find slope you need to find both points and use the ordered pairs and subtract y1 - y2 and x2 - x1 and then you get your slope which is 5/7

sorry im bad at explaining

what is the sum of 3 + 6 + 5

Answers

Answer:

The answer is 14

Step-by-step explanation:

3 + 6 = 9

9 + 5 = 14

The answer is 14 this is easy

-30=5(x+1) x=?

please help ​

Answers

Answer:

x = -7

-30 = 5(x + 1)

5(x + 1) = -30

5(x + 1)/5 = -30/5

x + 1 = -6

x + 1 - 1 = -6 -1

x = -7

Jada sister Earns a commission. She makes 3.5 of them out she sells. Last week she sold, 7000 Worth of furniture. How much was her commission?

Answers

Answer:

$245

Step-by-step explanation:

3.5% of 7000 = 0.035 × 7000 = 245

a line passes through the points (4,23) and (8,27). write a linear funtion rule in terms of x and y for this line

Answers

Answer:

Step-by-step explanation:

(27 - 23)/(8 - 4)= 4/4= 1

y - 23 = x - 4

y = x + 19

Please help will give brainliest!

Answers

Answer:

Should be 1 if im not wrong Then Mark Me brainliest

Step-by-step explanation:

a negative times a neg equals a posative

Neg x pos = neg

pos x neg = neg

pos x pos = pos

neg x neg = pos

so if there greater then over neg<, >,=

You would look at the problem for given f(x)=

x → -1 and neg times neg more or less

-1 x -1 = 1

Solve for each of the following situations.
Megan ordered her favorite pizza with 12 slices. Sadly, she could finish only 75% of the whole pizza. How
many pizza slices are left?

Answers

There are 3 slices left.

75% of 12 is 9, meaning she ate 9 slices. 12-9 is equal to 3, so there are 3 slices left.

Answer:

She left 3 slices

Step-by-step explanation:

to find the number of slides that I have concluded, we will do the following

[tex] \frac{75}{100} \times 12 = 9[/tex]

Then She left

[tex]12 - 9 = 3[/tex]

You purchased a car for $56,843. After
one year, the car is worth $51,474. How
much is the car worth in 4 years?

Answers

Answer:

$35,367

Step-by-step explanation:

why is it so hard like math in general is hard has been for years

Answers

Answer:

Tell me about it..

Step-by-step explanation:

Step-by-step

explanation:

math is hard because is hard

If you did not learn a different method for unit conversion in a previous class, respond to the following statement.

Explain how to use the unit-factor method to convert 120 pounds to kilograms.
Hint: 1 kilogram=2.2 pounds
To write the unit factors, use the / symbol, like this: 1 gallon/3.79 liters.

Answers

Answer:

120 pounds = 54.5 kilogram

Step-by-step explanation:

We know that,

1 kilogram=2.2 pounds

or

1 pound = (1/2.2) kilogram

We need to convert 120 pounds to kilograms.

[tex]120\ \text{pounds}=\dfrac{120}{2.2}\ \text{kilogram}\\\\=54.5 \text{kilogram}[/tex]

So, there are 54.5 kilograms in 120 pounds.

Show that the line 3y = 7 + 5x is perpendicular to the line 5y = 4 - 3x.

Answers

Answer:

Proven Below

Step-by-step explanation:

If we rearrange these equations, we get that 3y = 5x + 7 and that 5y = -3x + 4. Next, to find what y equals on both equations, we divide by 3 on both sides of the first equation, where we would get that y = 5/3x + 7/3, and then divide by 5 on both sides of the second equation, where we would get that y = -3/5x + 4/5. Now, to see if two lines are perpendicular to each other, we have to see if the slopes (The number being multiplied by x. Ex.) In the equation y = 3/4x + 4, the slope is 3/4) are opposite reciprocals (If you multiply them and they are equal to -1. Ex.) 3/4 * -4/3 is equal to -1, so they are opposite reciprocals). In this case, we have -3/5 and 5/3 as slopes, and -3/5 * 5/3 is equal to -1, so they are perpendicular.

Answer:

The slope of the first line is 5/3

The slope for the second one is -3/5

If you multiply the 2 slope you have to end up with - 1

So 5/3*(-3/5)=-15/15 which is - 1

So yes the lines are perpenducular

A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.

How many days, x, will it take the kitten to double its weight? Write and solve the equation.

Answers

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

Rizwan has 100 ruppees . He spent rs 25 in ice cream . Rs 45 on pizza, and the rest on other things . What percantage did he spend on other things .

Answers

Answer:percantage spent on other things = 30%

Step-by-step explanation:

Percentage spent on other things = Money spent on other things/ Total money x `100/ 1

Money spent on rest things = Total money - ( Money spent on ice cream + Money spent on pizza)

100 -(25+ 45)

100-70= Rs 30

Percentage spent on other things = Money spent on other things/ Total money x `100/ 1

= Rs 30/ Rs 100 x 100

0.3 x 100 = 30%

An airplane on autopilot took 9 hours to travel 6,471 kilometers. What is the unit rate for kilometers per hour?

Answers

Answer:

719 kilometers

Step-by-step explanation:

6,471/9 = 719

that's the unit rate

Answer:

719

Step-by-step explanation:

6,471/9=719

719*9=6,471

which means the correct answer is 719

YW!!

At Franklis Incorporated, during the month of January, the direct labor rate variance was $3,000 unfavorable, and the direct labor efficiency variance was $5,000 favorable. Actual direct labor costs during January were $100,000. What was the standard direct labor applied to production at Franklis during the month of January?

Answers

Answer:

50

Step-by-step explanation:

Direct labour rate variance is $3,000

Direct labour efficiency variance is $5,000

Actual direct labour costs is $100,000

Therefore the standard direct labour production during the month of January can be calculated as follows

= 100,000/5,000-3,000

= 100,000/2,000

= 50

Help meh ill mark 1 and 1/2 +2/5 PLZZZZZZZZZZZZZZZZ

Answers

Answer:

1 9/10

Step-by-step explanation:

X and Y
-5x+5y=-25
3x+2y=10

the X and Y is (4,-1) i need to know how to get the answer ​

Answers

Step-by-step explanation:

just substitute X and Y by their numerical values.

a) -5(4)+5(-1)=-25

-20-5= -25

-25= -25. true

b) 3(4)+2(-1) = 10

12 -2 =10

10=10. true

AYO HELP A MAN OUT PLEASE

Answers

Answer:

I think it's A I'm not sure tho

Step-by-step explanation:

the answer is A and I think C I don't know though ur welcome!:)

can someone tell the answers?

Answers

Answer:

IT B

Step-by-step explanation:

BECAUSE IT B

Answer:

A. B and D

Step-by-step explanation:

A because: X can be the minutes she goes over

B because: X can be the customers coming in for breakfast

D because: X can be every ticket

it can't be C because you would take away the eggs not add

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