Triangle PQR is transformed to the similar triangle P′Q′R′.

What is the scale factor of dilation?


1 over 2

1 over 3

1 over 4

1 over 5

Answers

Answer 1

Answer:

[tex]Scale\ Factor = \frac{1}{2}[/tex]

Step-by-step explanation:

This question requires an attachment;

I'll answer your question using the attached figure

Since, PQR is similar to P'Q'R'; This implies that

Side PQ is similar to P'Q'

Side PR is similar to P'R'

Side QR is similar to Q'R'

Taking sides PQ and P'Q' as point of reference

PQ = 4; P'Q' = 2 (From the attached)

[tex]Scale\ Factor = \frac{P'Q'}{PQ}[/tex]

[tex]Scale\ Factor = \frac{2}{4}[/tex]

[tex]Scale\ Factor = \frac{1}{2}[/tex]

Triangle PQR Is Transformed To The Similar Triangle PQR.What Is The Scale Factor Of Dilation? 1 Over
Answer 2

Answer:

1/2

is your answer i got it right

Step-by-step explanation:


Related Questions

Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?

Answers

Answer: 39 Pennies

Step-by-step explanation: You can think about this question as a multiplication problem. When you look at the pattern of the the other days you notice that they are all mulitples of 3. So when you want to find the number of pennies on the 13th day. You can do 3*13 = 39.

There are crows and groundhogs in a field. All of them together have 15 heads and 40 legs. How many of each animal are in the field?

Answers

Answer:

10 crows and 5 ground hogs

Step-by-step explanation:

10 ×2 is 20 because crows have 2 legs then we do 5×4 which is 20 because ground hogs have 4 legs 10 +5 equals 15 because each animal has one head


Just like the other answer said the crows would be 10 making it 20
Legs and 10
Heads and 5 more heads for a ground hog would equal 15 heads plus another 20 legs equals 40 leafs

Mr. Maddox asked four students to create a number line to help find the sum of the fractions. Negative StartFraction 7 over 10 EndFraction + StartFraction 4 over 10 EndFraction Which number line would be best to find this sum?

Answers

Answer:

First choice

Step-by-step explanation:

Sum of fractions:

-7/10 + 4/10= - 3/10

the interval required on the line from the left of - 7/10 to the right of -3/10

Which number line would be best to find this sum?

-8/10 to 0

yes, this is good as covers the interval from -7/10 to - 3/10

-3/10 to 3/10

no, it doesn't include the left half of required section

4/10 to 11/10

no, it doesn't include the required interval

0 to 15/10

no, it doesn't include the required interval

Answer:

A

Step-by-step explanation:

What is the equation of the parabola?
A. y=-1/8x^2+5
B. y=1/8x^2+5
C. y=1/8x^2-5
D. y=-1/8x^2-5

Answers

Answer:

The answer is option B.

y = 1/8x² + 5

Hope this helps you

Struggling!!! Math help plss!!! ​

Answers

Answer:

Step-by-step explanation:

Determine the slope of the following equation: 2y -4x = 9

Answers

In y=mx+b, this is y=2x+9/2. The slope is 2

Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by six; 7 minus StartFraction 2 Over n squared EndFraction + 6 nine times the difference of a number cubed and three; 9 (n cubed minus 3) eight more than the quotient of a number squared and four, decreased by seven; 8 + StartFraction 4 Over n squared EndFraction minus 7 twice the difference of a number cubed and eight; 2 n cubed minus 8

Answers

Answer:

the second description and and expression is correct

Step-by-step explanation:

the first one is wrong because it says 7 minus while it should be minus 7

nine times the difference of a number cubed and three; 9(n³-3)

Paired data in statistics, often referred to the ordered pairs, refers to 2 variables in the individuals of the population that are linked together in the order to determine correlation between them.

Given :

7 less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

9 times the difference of a number cubed and three; 9(n³-3)

8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

twice the difference of a number cubed and eight;  2 n³- 8

To Find: Which description is paired with its correct expression

Solution:

7 less than the quotient of two and a number squared increased by six

7 -  (2/n²)  + 6

Correct Expression is   -7 + (2/n²)  + 6  

nine times the difference of a number cubed and three; 9(n³-3)

Expression is Correct

8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7

Correct Expression is  8 + (n²/4) - 7

twice the difference of a number cubed and eight;  2 n³- 8

The correct expression is 2( n³- 8)

Hence the correct answer is :

nine times the difference of a number cubed and three; 9(n³-3)

Statistics is a mathematical body of the science that pertains by the collection or analysis, or interpretation and explanation, or presentation of data, and as a branch of mathematics. Some consider statistics to be the distinct mathematical science rather than a branch of mathematics.

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FIRST GETS BRAINLLEST If each 2 cm on the scale drawing below equals 8 feet, what is the actual length of the green line? 16ft 18ft 19.5 ft 21 ft

Answers

Answer: The correct answer is 18ft

Step-by-step explanation:

Answer:

16 ft

Step-by-step explanation:

If you simply the ratio of 2/8 it becomes 1/4

This means that it has to be a multiple of 4

A father is 3 times older than his son, or 28 years older. How old is the son?

Answers

Answer:

14

Step-by-step explanation:

The son is x years old.

The father is 3 times older, so the father is 3x years old.

The father is 28 years older than the son, so

3x - x = 28

2x = 28

x = 14

The son is 14.

The age of his son is approximately 9 years 4 months.

Given that, a father is 3 times older than his son, or 28 years older.

We need to find the how old is the son.

What is the equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, let the age of the son be x.

So, 3x=28

x=9.33

Therefore, the age of his son is approximately 9 years 4 months.

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The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
(-2,5)
(-2,-5)
(2,-5)
(2,5)

Answers

2,5 would be the answer

the ratio of the surface area of two similar solids is equal to the square root of the ratios between their corresponding edge lengths. True or False

Answers

Answer:

False

Step-by-step explanation:

Just trust me on this

Answer:

The correct answer is False

Step-by-step explanation:

solve:
|3x+ 2| > 14

show work

Answers

Answer:

x < -16/3 or x > 4

Step-by-step explanation:

This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.

3x + 2 > 14

3x > 12

x > 4

-(3x + 2) > 14

3x + 2 < -14

3x < -16

x < -16/3

Answer:

[tex]x > 4[/tex]

Step-by-step explanation:

Move the constant to the right-hand and change its sign:

[tex]3x > 14 - 2[/tex]

Subtract the number:

[tex]3x > 12[/tex]

Divide both sides of the inequality by 3:

[tex]3 \div 12 = 4[/tex]

Therefore, the answer will be x > 4.

For two months, Milan used the same landscaping maintenance company. The company had a fixed reservation rate per month, plus an hourly rate for the amount of time that is spent on landscaping work. Milan received two bills from the landscaping company. The first bill was $120.75 for 2.75 hours of
landscaping work and the second bill was $160.50 for 5.25 hours of landscaping work. Find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour. Round to the nearest cent, if necessary.

Answers

Answer:

The equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025

Step-by-step explanation:

The first bill amount for 2.75 hours of  landscaping work = $120.75

The second bill amount for 5.25 hours of  landscaping work = $160.50

No we are supposed to find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour

So, we will us two point slope form to find the equation:

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

[tex](x_1,y_1)=(2.75,120.75)\\(x_2,y_2)=(5.25,160.50)[/tex]

Substitute the values in the formula

[tex]y-120.75=\frac{160.50-120.75}{5.25-2.75}(x-2.75)\\y=15.9x+77.025[/tex]

Hence  the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025

Help me find the measurement indicated in each square guys please help.

Answers

it is possibly 24 i have no idea if im being honest with u . i am really dumb
Line SV, or ?, would be equal to 23.4 as it has an equal length to line TU.

hi:) I need help with part 9(ii) ? Thanks :)!

Answers

Answer:

see explanation

Step-by-step explanation:

Given

2BD = 7BT , then

2(d - b ) = 7(t - b) ← distribute both sides

2d - 2b = 7t - 7b ( add 7b to both sides )

2d + 5b = 7t, thus

2[tex]\left[\begin{array}{ccc}10.5\\10\\\end{array}\right][/tex] + 5[tex]\left[\begin{array}{ccc}0\\3\\\end{array}\right][/tex] = 7t

[tex]\left[\begin{array}{ccc}21\\20\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}0\\15\\\end{array}\right][/tex] = 7t

[tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = 7t , thus

t = [tex]\frac{1}{7}[/tex][tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3\\5\\\end{array}\right][/tex]

Hence T = (3, 5 )

Answer:

Please see the attached pictures for the full solution.

We reject x= -3 since x has to be between x=0 and x=10.5 since T lies on line BD.

We reject y= 1 since the y value has to be between 3 and 10 for T to lie on line BD.

Useful formula:

gradient=(y1-y2)/(x1-x2)

Further explanation:

1st picture, from line 12 to 13: cross multiply

line 14: expand

line 15: bring 9 over (or +9 on both sides)

line 16: ÷3 throughout

last picture: we have to show '(reject)' because whenever we introduce a square root, there must be a '±' sign.

Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.

Answers

Answer:

The third and fourth options.

Step-by-step explanation:

You simplify the inequality first...

-6x + 15 < 10 - 5x

-x < -5

x > 5

The first option is incorrect since it is less than.

The second option is basically -5x < 15; x > -3; that's incorrect.

The third option is basically -x < -5; x > 5; that is correct!

The fourth option is correct since it shows more than 5.

The fifth option is incorrect because it shows less than -5.

Hope this helps!

Answer: The answer is C and E

Step-by-step explanation:

Hope this helps;)

Simplify as a ratio: 100:199:47

Answers

Answer:

Find GCF of all values in the given ratio

GCF(100, 199, 47) = 1

When GCF value is equal to 1, the given ratio can not be simplified.

Step-by-step explanation:

It cant be simplified

Answer:

100:199:47

Step-by-step explanation:

The ratio cannot be simplified.

The numbers 199 and 47 are prime numbers, and only have the factors of 1 and themselves.

-b -b +5 pls show work and solve​

Answers

Answer:

Step-by-step explanation:

-b -b +5

= -2b + 5

Does this table represent a function? why or why not?

Answers

Answer:

I think it's A but I could be wrong

Answer: B

Step-by-step explanation:

A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.

Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3? 8 r Superscript 15 StartFraction 8 Over r Superscript 15 Baseline EndFraction 512 r Superscript 15 StartFraction r Superscript 15 Baseline Over 512 EndFraction

Answers

Answer:

[tex]\frac{r^{15}}{512}[/tex]

Step-by-step explanation:

Given

[tex](8r^{-5})^{-3}[/tex]

Required

Simplify

This can be simplified using the following law of indices;

[tex](ab)^n = a^{n}b^{n}[/tex]

The equation becomes

[tex](8^{-3})(r^{-5})^{-3}[/tex]

Express [tex]8^{-3}[/tex] as a fraction

[tex](\frac{1}{8^{3}})(r^{-5})^{-3}[/tex]

Simplify [tex]8^3[/tex]

[tex](\frac{1}{8*8*8})(r^{-5})^{-3}[/tex]

[tex](\frac{1}{512})(r^{-5})^{-3}[/tex]

The expression can further be simplified using the following law of indices;

[tex](a^m)^n = a^{mn}[/tex]

[tex](\frac{1}{512})(r^{-5})^{-3}[/tex] becomes

[tex](\frac{1}{512})(r^{-5*-3})[/tex]

[tex](\frac{1}{512})(r^{15})[/tex]

[tex]\frac{r^{15}}{512}[/tex]

Hence, the solution to [tex](8r^{-5})^{-3}[/tex] is [tex]\frac{r^{15}}{512}[/tex]

Answer:

D

Step-by-step explanation:

Question 4 Select Prism from the list of shapes. Set the number of lateral faces to five, and explore the cross sections of a pentagonal prism. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify the shapes of different types of cross sections. Part A Note all the types of cross sections you observe. In the table, describe the shape of the cross section formed when a particular plane passes through the prism.

Answers

Answer:

Step-by-step explanation:

Answer:

Plato

Step-by-step explanation:

rectangle

pentagon

pentagon

pentagon, hexagon ,heptagon

pentagon, quadrilateral, or triangle

Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.

Answers

Answer: Slope 1/4  therefore slope of new line would be -1/4

Step-by-step explanation:

The points of the inverse of the line provided on the graph are as under:

x=2,y=5

x=0,y=-5

x=1,y=0

What is the inverse of a line?

It means interchanging the values of x with the values of y and form a line which is known a inverse of a line.

How to graph the inverse of a line?

firstly point out the points from the graph given in the question as in the graph1 below

now by interchanging the values we get the values of inverse of the line as in the graph 2

By plotting these points on the graph we get the inverse of the line which is in the graph 3

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A cube has an edge length of 13 feet. What is its volume, in cubic feet?​

Answers

Answer:

V =2197 ft^3

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the length of a side

V = 13^3

V =2197 ft^3

Answer:

Volume = 2197ft³

Can someone please Simplify -|-5 + 2|

Answers

Answer:

_|_5+2|

=_|_3|

=_3

is answer.

The answer is -3. The two bars make the answer to -5 + 2 positive. (It was -3, but the absolute value is 3). However, the negative sign is then “multiplied” to the 3 as an imaginary -1 which gives you the answer of -3.

Write an equation of the line passing through the point (7,3) that is parallel to the line 4x-7y=9

Answers

Answer:

y = -7/4x + 61/4

Step-by-step explanation:

Step 1: Write equation in slope-intercept form

-7y = 9 - 4x

y = 4/7x - 9/7

Step 2: Find slope of perpendicular line

Take the negative reciprocal of the 1st equation

m = -7/4

Step 3: Write out known variables

y = -7/4x + b

Step 4: Find b

3 = -7/4(7) + b

3 = -49/4 + b

b = 61/4

Step 4: Rewrite equation

y = -7/4x + 61/4

Solve for x in the diagram.

Answers

Answer:

x = 15

Step-by-step explanation:

Using Pythagorean Theorem

=> [tex]c^2 = a^2+b^2[/tex]

Where c= x, a = 12, b = 9

=> [tex]x^2 = (12)^2+(9)^2[/tex]

=> [tex]x^2 = 144+81[/tex]

=> [tex]x^2 = 225[/tex]

Taking sqrt on both sides

=> x = 15


12^2-9^2 =63
Square root of 63 is 7.93725...
Answer is 7.94 rounded up

What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?

a. 1, 2, 3

b. 0, 8, 16

c. 8, 5, 2

d. 11, 8, 5

Answers

Answer:

11,8,5

Step-by-step explanation:

an=11-3(n-1)

Let n=1

a1 = 11 - 3(1-1)

    = 11 -0

    =11

Let n=2

a2 = 11-3(2-1)

     = 11 -3(1)

     = 8

Let n=3

a3 = 11-3(3-1)

    = 11 -3(2)

    = 11 -6

    =5

Answer:

The answer is 11,8,5

Step-by-step explanation:

that's the correct answer

Determine the area of the given kite. ANSWERS: 342 square units 2520 square units 5040 square units 684 square units

Answers

Answer: 342 square units

Step-by-step explanation:

Area of a kite = pq / 2 ( where PQ represents both diagonals)

Area = (38 x 18) / 2

Area = 684 / 2

Area = 342

I only need help step by step solution for question#40 and #44

Answers

the link is not working :(

and distance of the last ramp is ______ feet (round to the nearest foot)

Answers

Answer:

The distance of the last ramp is 10 feet.

Step-by-step explanation:

From the options and the question, I assume that the height of the ramp is 6 feet. Pythagorean theorem states:

a² + b² = c²

where c is the hypotenuse, and a and b are the legs of the triangle. In this case:

6² + 8² = x²

√100 = x

10 ft = x

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