Kathy has to write a 40 page report for her research class. She plans to write 8 pages in 4/7 week. She has 3 weeks to finish her report. Will she finish her report on time?

Pairs of  congruent angles are: ∠J ≅ ∠T; ∠K ≅ ∠S; ∠L ≅ ∠R; ∠M ≅ ∠Q

A proportion of their corresponding sides is: JK/TS = KL/SR = LM/RQ = JM/TQ

When two polygons are similar to each other, they have the same shape but different sizes. Therefore, they will have pairs of angles that are congruent to each other and pairs of corresponding sides that have ratios that are the same, which means they have the same proportion.

Given polygons JKLM and TSRQ, the corresponding congruent angles are:

∠J ≅ ∠T

∠K ≅ ∠S

∠L ≅ ∠R

∠M ≅ ∠Q

A proportion of their corresponding sides would be:

JK/TS = KL/SR = LM/RQ = JM/TQ

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Answer:

1. The answer is 8  

20-3-1= $16

$16/2=8

meaning they've only been on 8 games or rides

2. The answer is 17 miles. Every mile = $1 so that means they travelled 17 miles

first u subtract 5 from 22 which will equal 17

3. $0.25

first u add up all the money from each item and then subtract it by 12 and u will get 0.25

Nvm I can  only do 1-3

Step-by-step explanation:

Answer:

Make y the subject of the formula which will give the answer below

y=1/3x-3

select C

The equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.

In the question, we are asked to write and solve an equation to find the number, given that the difference between 3 times the number and 12 is -24.

We assume the number to be x.

The sentence given to us is the difference between 3 times the number and 12.

Three times the number is 3x.

The difference between 3 times the number and 12 can be shown as 3x - 12.

We are given that the difference between 3 times the number and 12 is -24.

This can be shown as 3x - 12 = - 24.

This is the required equation.

To solve this, we do the following steps:

3x - 12 = -24.

Adding 12 to both sides, we get:

3x - 12 + 12 = - 24 + 12,

or, 3x = -12.

Now, we divide both sides by 3, to get:

3x/3 = -12/3,

or, x = -4.

Thus, the equation formed for the expression "The difference of 3 times a number and 12 is -24", is 3x - 12 = - 24, which gives the number, x = -4.

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An expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is  x=10 + 5h, he can rent the bike for 4hours with $30 budget.

As given,

Let x represents total rental cost

h represents  number of hours

Rental fee=$10

Per hour fee=$5

Expression:

x=10 +5h

Budget x= $30

30=10 +5h

⇒ 5h=20

⇒h=4hours

Therefore, an expression to represents the Samuel wanted to rent a bike if rental fee cost $10 plus $5 for each hour is x=10 + 5h, he can rent the bike for 4hours with $30 budget.

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Answer:

  10√2

Step-by-step explanation:

You want the simplified form of the radical expression 2√200 -10√2.

Radicals are simplified by removing perfect squares from under the radical. Radicals with the same radicand are "like terms" and can be combined.

  [tex]2\sqrt{200}-10\sqrt{2}=2\sqrt{10^2\cdot2}-10\sqrt{2}\\\\=2\cdot10\sqrt{2}-10\sqrt{2}=(20-10)\sqrt{2}=\boxed{10\sqrt{2}}[/tex]

Answer:

[tex]10 \sqrt{2} [/tex]

Step-by-step explanation:

Simplify.

[tex]2 \sqrt{200} \\ = 2 \sqrt{100 \times 2 } \: \: \: \: \\ = 2 \sqrt{100} \times \sqrt{2} \\ = 2 \times 10 \times \sqrt{2} \\ = 20 \sqrt{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \:[/tex]

Now let us solve the given expression.

[tex]2 \sqrt{200} - 10 \sqrt{2} \\ 20 \sqrt{2} - 10 \sqrt{2} \\ 10 \sqrt{2} [/tex]

Hello,

[tex]If \: A = \frac{1}{2} bh \: we \: have \: b = \frac{2A}{h} [/tex]

Two lines are said to be parallel when slopes are same. If EF∥GH  and E(−2,4),F(−7,−4),G(−5,2), and H(x, -6) then x is -3.

Parallel lines are straight lines that never meet each other no matter how long we extend them.

Given;

G(-5,2),E(−2,4),F(−7,−4),G(−5,2), and H(x, -6).

Two lines are said to be parallel when slopes are same.

The equation of line passing through two points is y-y1=m(x-x1)

where m is the slope

The equation of line EF is

y-4=8/5(x+2)

Here slope is 8/5.

The equation of line GH is

y-2=-8/(x-2)(x+5)....*

As the two lines are parallel, the slopes must be equal.

In * the slope should be 8/5,so

x-2=-5

x=-3

Therefore the value of x is -3.

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The weight average of the coordinates is 1

The given parameters are:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (-2 * 1 + 0 * 1 + 3 * 2)/(1 + 1 + 2)

Evaluate the quotient

Weight average = 1

Hence, the weight average of the coordinates is 1

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Answer:

7

Step-by-step explanation:

a=additive inverse of -7

-7+a=0

-7+7+a=0+7   ==> add 7 on both sides to isolate 'a'

a=7

The translations for this problem are given, respectively, by:

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

For the first translation, the orientation remains the same, just the positions changes, hence it is translated 9 units to the right and 2 units down.

For the second translation, the rule applied to each vertex was:

(x,y) -> (x,-y).

Hence it was reflected across the x-axis.

For the third translation, the rule applied to each vertex was:

(x,y) -> (-x,y).

Hence it was reflected across the y-axis.

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Answer:

3 + 3 = 6

8 + 8 + 8 = 24

24 + 6 = 30

31 - 30 = 1

1 inch of the board is left

Answer:

17

Step-by-step explanation:

the absolute value function always gives a positive result , that is

| - a | = | a | = a

| - 5 | + | 12 |

= | 5 | + 12

= 5 + 12

= 17

Answer:

see explanation

Step-by-step explanation:

the shaded area is calculated as

outer circle area - inner circle area

since CAB is a tangent to the inner circle at A then OAB = 90° and

Δ OAB is right

using Pythagoras' identity in the right triangle to express R in terms of r and d , then

R² = d² + r²

------------------------------------------

A( outer Δ ) = πR² = π(d² + r² ) = πd² + πr²

A ( inner Δ ) = πr²

Then

shaded area = πd² + πr² - πr² = πd²

Answer:

The number that gets raised, or multiplied by itself, is called the base. The number of times it is multiplied is called the exponent. Together this is called power.

-------------------------------------------------------------------------------------------------------------

Answer:  [tex]\textsf{28 1/3}[/tex]

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Given: [tex]\textsf{We are given 9 numbers}[/tex]

Find: [tex]\textsf{Determine the mean of the numbers}[/tex]

Solution:  In order to determine the mean of the numbers the first step that we need to do is to add up all of the numbers.  After adding up all of the numbers we divide it by the amount of numbers that were provided to us.

Add up the numbers

Divide it by the amount of numbers provided

Therefore, the mean of the numbers provided is [tex]\textsf{28 1/3}[/tex]

504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.

We are given the number:

504,327.001510512

We have to write the given number in words.

We will do this by following the International Number System.

In mathematics, the international number system refers to a representation of numbers which are divided into periods and placed according to their place values. The periods in the international numeral system goes like ones, thousands, millions, billions, and so on.

So, we will write this number as:

Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.

Therefore, 504,327.001510512 will be written in words as Five hundred four thousand, three hundred twenty-seven and one million, five hundred ten thousand, five hundred twelve billionths.

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Answer:

5p^3q ( 8p^3 + 3p^2q^3 +7q)

Step-by-step explanation:

greatest common factor = GCF

40p^6q + 15p^5q^4 + 35p^3q^2

This expression has 3 terms: 40p^6q , 15p^5q^4 , and  35p^3q^2

Find the GCF for the 3 terms

The coefficient parts are 40, 15 and 35 their GCF is 5

The p part: p^6, p^5, and p^3 their GCF is p^3

The q part: q, q^4, and q^2 their GCF is q

The GCF for the 3 terms is 5p^3q

Factor the expression using the GCF

40p^6q + 15p^5q^4  + 35p^3q^2 =

5p^3q ( 8p^3 + 3p^2q^3 +7q)

Answer:

74,009,234= 7^6+ 9^3+2^2+3^1+4^0

Step-by-step explanation:

The equation shows that the slope of the line is -2 and the y-intercept is 4 that is the line will pass through the point (0, 5)

The standard linear equation is expressed as y = mx + b where;

Given the linear equation  y=-2x+5

The equation shows that the slope of the line is -2 and the y-intercept is 5 that is the line will pass through the point (0, 5)

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The  three segments  of Triangle is (1) 17 cm, 7 cm, 8 cm    

Here, 17 > 7 + 8 or 17 > 15

In any triangle, the sum of the lengths of any two sides of a triangle is always greater than the third side.

Therefore, the triangle is not possible.    

In Euclidean geometry, any three points that are not collinear produce a singular triangle and a singular plane (i.e. a two-dimensional Euclidean space). In other words, every triangle is contained in a plane, and there is only one plane that contains that triangle. All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.

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Answer:

150 miles

Step-by-step explanation:

50x3=150

The area of parallelogram is Base(B) × Height(H).

The quantity of square units that make up a polygon determines its area. Similar to a carpet or area rug, area is two dimensional.

A parallelogram is a four-sided structure made up of two parallel line pairs. The length of opposing sides and the magnitude of opposing angles are both equal. Multiply the base by the height to determine the area. The equation is:

A = B × H,

where B stands for base

H for height

A parallelogram must have a perpendicular base and height. A parallelogram's lateral sides aren't parallel to the base, though. As a result, the height is represented by a dotted line. Let's examine a few instances when the area of a parallelogram is involved.

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Answer:

See explanation

Step-by-step explanation:

d=degree change

d=-4-27

d=-31 degrees

The number of bowls of clay that is left will be 8/5 lb.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of a numerator and a denominator.

kai is using clay to make bowls. Each bowl uses 4/5 Ib of clay.

Kai has 2²/₅ Ib of clay.

Then the amount of clay that is left will be

⇒ 2²/₅ - 4/5

⇒ 12/5 - 4/5

⇒ (12 - 4) / 5

⇒ 8/5

The amount of clay that is left will be 8/5 lb.

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The expression which represents a whole number which is the preceding number to a whole number x is; x-1.

Whole numbers are a class of numbers which are otherwise termed, Integers. Furthermore, Integers number values include, 1, 5 and -3 among a host of other numbers.

Hence, if the actual number is; x, then it follows that the number which precedes x is such that it is less than x by 1 unit.

Ultimately, the required preceding number is; x-1.

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The graph of  f (x) = |z|  is changed to g(x) = |(z −1)| means; The graph is stretched horizontally and shifted 1 unit to the right.

Transformations simply takes the basic function and transforms it to another function.

The rules of transformation are;

Now, we are told the the graph of  f (x) = |z|  is changed to g(x) = |(z −1)|. This denotes a transformation of moving 1 unit to the right

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Each sum using distributive property is given as follows:

1) 12+20= 3(4+5)

2) 36+15= 3(12+5)

3) 24+18= 6(4+3)

4) 20+50= 10(2+5)

5) 6+22= 2(3+11)

6) 60+25= 5(12+5)

Given, sum to be represented by distributive property.

1)

12+20= 3(4+5)

Factors of 12 = 2 × 2 × 3

Factors of 20 = 2 × 2 × 5

GCF of 12 and 20 = 4

Take 4 common from 12 and 20.

Representing in a(b+c) .

4(3+5)

2)

36+15= 3(12+5)

Factors of 36 = 2 × 2 × 3 × 3

Factors of 15 = 3 × 5

GCF of 36 and 15 = 3

Take 3 common from 36 and 15.

Representing in a(b+c) .

3(12+5)

3)

24+18= 6(4+3)

Factors of 24 = 2 × 2 × 2 × 3

Factors of 18 = 2 × 3 × 3

GCF of 24 and 18 = 4

Take 5 common from 24 and 18.

Representing in a(b+c) .

6(4+3)

4)

20+50= 10(2+5)

Factors of 50 = 2 × 5 × 5

Factors of 20 = 2 × 2 × 5

GCF of 50 and 20 = 10

Take 10 common from 50 and 20.

Representing in a(b+c) .

10(2+5)

5)

6+22= 2(3+11)

Factors of 22 = 2 × 11

Factors of 6 = 2 × 3

GCF of 22 and 6 = 2

Take 2 common from 22 and 6 .

Representing in a(b+c) .

2(3+11)

6)

60+25= 5(12+5)

Factors of 60 = 2 × 2 × 3 × 5

Factors of 25 = 5 × 5

GCF of 60 and 25 = 5

Take 5 common from 60 and 25.

Representing in a(b+c) .

5(12+5)

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The method used to collect data for the given scenario is: observational study.

Now,

Hence, the method used to collect data is observation, i.e., observational study is being made here.

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(COMPLETE QUESTION:

Use the drop-down menus to identify the method used to collect data for each scenario.

While standing in front of the school, Jace recorded the number of students who walked, rode their bikes, took the bus, and were driven there.)