The triangle on the right is a scaled copy of the triangle on the left. Identify the scale factor. Express your answer as a fraction in simplest form.

The four consecutive integers are 20, 21, 22, and 23 whose sum is 86.

using sequential means.

Integers are a collection of whole integers and their antipodes, such as -3, -2, 1, 0, 1, 2, 3, etc.

86 is obtained by adding together the four consecutive integers x, (x+1), (x+2), and (x+3)

x + (x+1), (x+2), and (x+3) = 86

the smallest one, x, is now solved for: 4x + 6 = 86

The numbers are 20, 21, 22, and 23, because 4x = 80 x = 20.  

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Answer:

20, 21, 22 & 23

Step-by-step explanation:

Forming the equation,

→ x + (x + 1) + (x + 2) + (x + 3) = 86

→ 4x + 6 = 86

Now the the value of x will be,

→ 4x + 6 = 86

→ 4x = 86 - 6

→ x = 80/4

→ [ x = 20 ]

Then the required numbers will be,

→ x = 20

→ x + 1 = 20 + 1 = 21

→ x + 2 = 20 + 2 = 22

→ x + 3 = 20 + 3 = 23

Hence, numbers are 20, 21, 22, 23.

Answer:

Jasmine is correct.  The  triangles are similar.

Step-by-step explanation:

Triangle that have the same angle measurements are similar.

The sum of the interior angles of a triangle add up to 180

Triangle x has angles that measure 80 and 30.  That totals 110.  The third angle must be 70 so that it adds up to 180.

Triangle Y has angels that measure 80 and 70.  That adds up to 150, that means that its third angles must be 30

Both triangles have angle measurements to 80, 70, and 30 so they are similar.

Answer:

c.   ∠MPN

Step-by-step explanation:

Supplementary angles sum to 180°.  

(Note that supplementary angles don't have to be next to each other).

Given ∠NPI = 55.6°.

Therefore, to find the measure of the angle that is supplementary to ∠NPI, subtract the measure of ∠NPI from 180°:

⇒ 180° - ∠NPI = 180° - 55.6° = 124.4°.

The angle that measures 124.4° is ∠MPN.  

Therefore, ∠MPN is supplementary to ∠NPI.

8+9x+4(11-2x)

As a first step we are going to use distributive property of multiplication:

8+9x+44-8x

Solving ths:

52+x

Answer would be M

Answer:

260.52cm^

Step-by-step explanation:

The ordered pair describes the location of F' is (6, -2) reflected over the

y-axis.

The Y-coordinates of a point remain constant when it is reflected across the Y-axis. However, the X-coordinates are transformed into their inverse signs.

As a result, the Y-axis reflection of a point (x, y) is (-x, y).

For the given question;

Point F (-6, -2) is reflected along the y-axis to form a point F'.

The coordinates of F' becomes (6, -2), negative x axis will becomes positive.

Thus, the ordered pair describes the location of F' is (6, -2) reflected over the

y-axis.

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The number of cupcakes that Chad are is 8 cupcakes.

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of cupcakes that Chad can buy be x.

The number of cupcakes Chad can eat is 2 times the amount his sister can eat. This will be 2x.

Therefore, the appropriate equation will be:

2x + x = 12

3x = 12

Divide

x = 12/3

x = 4

Chad = 2x = 2 × 4 = 8 cupcakes

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[tex]x^2=-64\implies x=\sqrt{-64}\implies x=\sqrt{-1\cdot 64}\implies x=\sqrt{-1}\cdot \sqrt{64} \\\\\\ x=\sqrt{-1}\cdot 8\implies x=i\cdot 8\implies x=8i[/tex]

Answer:

x = -2

Step-by-step explanation:

3x - 1 × 3 = 5 × x + 1

3x - 3 = 5x + 1

3x - 5x = 1 + 3

-2x = 4

-2x/-2 = 4/-2

x = -2

Answer: b+6 (less or equal to sign) -23

Step-by-step explanation: b increased by 6 is b+6

Answer:        b+6[tex]\leq[/tex]-23        b[tex]\leq[/tex]-29

Step-by-step explanation:

function:

number of tiles: 12b+38

Where;

b=number of bundles

150+30 = 12b+38

Solve for b:

150+30 = 12b+38

180 = 12b+38

180-38 =12b

142 =12b

142/12 =b

11.8 =b

12 bundles

Given: A right triangle with dimensions as shown in the figure

To Determine: The ratio for sin A and cos A

Solution

Given a right triangle ABC with a reference angle A, the trigonometry ratio is

From the given right triangle with reference angle A, the hypothenuse is the side facing the right angle. The side facing angle A is the opposite, and the other side is adjacent. This is as shown below

Hence

OPTION A is the correct option

The expression that represents the situation is 5/2(x) and the family uses  350 gallons of water for each week.

Showerheads:

The showerhead is a bathroom fixture that directs the flow of water in a bathroom shower.

Given,

Low flow showerheads use 2 1/2 gallons of water per minute.

And the family uses 2 1/3 hours per week.

Here we need to find the expression for this situation and we also need to find the amount of water used by the family.

First, we have to convert the mixed fraction into improper fraction, then we get,

2 1/2 =5/2

So, for one minute the showerhead use 5/2 gallon of water.

So, the expression for this situation is,

=> 5/2(x).

Where x represents the amount of time in minutes.

Now, we know that the family uses the showerhead for 2 1/3 hours per week.

So, we have to convert this mixed fraction into improper fraction,

2 1/3 = 7/3

We know that, 1 hour = 60 minutes.

So, 7/3 hours is equal to,

=> 7/3 x 60 = 7 x 20 = 140

Then, the amount of water used by the family is,

=> 5/2 (140)

=> 5 x 70

=> 350

Therefore, the amount of water used by the family is 350 gallons per week.

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Explanation

if you know 2 points of a line you can easily find the slope using

Let

P1(-1,5)

P2(7,1)

replace,

I hope this helps you

The total distance Steve jogged is 5 miles.

The Latin word "per centum," which meaning "by the hundred," was the source of the English word "percentage." Fractions with a denominator of 100 are called percentages. In other words, it is a relationship where the value of the entire is always assumed to be 100.

A percentage is a ratio or fraction where the full value is always 100. Sam, for instance, would have received 30 out of a possible 100 points if he had received 30% on his arithmetic test. In ratio form, it is expressed as 30:100 and in fraction form as 30/100.

Given:

Steve completed 60% of the Jog.

Also, he travelled 3 miles.

Let the total distance he travelled be x miles.

Then,

60% of x =3

60/100 x= 3

x= 3 x 100 / 60

x= 300/60

x= 5 miles.

Hence, total he had to jog 5 miles.

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One of the many branches of mathematics is algebra, which is derived from the Arabic word al-jabr, which means "reunion of fractured pieces, bonesetting."Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for manipulating these symbols in formulas.

Solve the problem?

      16x+12y=744

    =  16x+12y=744

      16x= 744-12y

   divide both sides by 16

     16x/16=744-12y/16

     x= 744-12y/16

    744-12y by 16

    x =-3y/4+93/2

   solving y

   16x+12y=744

     12y =744-16x

    divide by 12

   12y/12 =744-16x/12

   y= 744-16x/12

     y=-4x/3+62

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Answer: it would be -13

Step-by-step explanation: -13-8=-21

Answer:

The slope is 0.

Step-by-step explanation:

Using the slope formula which is m= y2 - y1 / x2 - x1, plug in the x values and y values of the two points. (12,-18) is x1 and y1. (-15,-18) is x2 and y2.

When plugging it in we get -18 - (-18)/ -15 - 12.  You cannot subtract a negative so it turns from subtraction to addition. So, -18 + 18 / -15 - 12 which equals 0/-27. 0 divided by any number is 0. So the slope is 0, m=0.

Hope this helps :)

The expression that represents the perimeter and area of the rectangle are 10x + 4 and 6x²- 24.

The rectangle is a quadrilateral with opposite sides equal to each other.

Opposite sides of a rectangle is also parallel to each other.

Therefore,

perimeter of a rectangle = 2(l + w)

where

Therefore,

l = 3x + 6

w = 2x - 4

Hence,

perimeter of a rectangle = 2(3x + 6 + 2x - 4)

perimeter of a rectangle = 2(5x + 2)

perimeter of a rectangle = 10x + 4

Let's find the expression that represent the area of the rectangle.

Hence,

area of a rectangle = lw

area of a rectangle = (3x + 6)(2x - 4)

area of a rectangle = 6x² - 12x + 12x - 24

Therefore,

area of a rectangle = 6x²- 24

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Answer:

Explanation:

Here, we want to get the probability that the top card is not a heart card

Mathematically, the sum of the probability that an event will occur and that the event will not occur is 1

Let the event that a heart card is the top card be H

We already have P(H) as 0.28

Thus:

Answer:

option a as x=8 hope you understand my writing , if got some problem comment down

4)  the distribution of the sample proportion of the 125 taxpayers that used the computer software to do their taxes is n(0.34, 0.0424) - option A

5)  the probability that between 28% and 40% of the taxpayers from the sample of 125 used computer software to do their taxes is pnorm(0.4,0.34,0.0424) - pnorm(0.28,0.34,0.0424) - Option A

4) Given data:

P = 0.34 and n = 125

Since, np = 0.34 * 125 = 42.5 > 10

& n(1 - p) = 125 * 0.66 = 82.5 > 10

Therefore, the normal distribution can be used here:

Mean is μp = p = 0.34

The standard Deviation is σp = [tex]\sqrt \frac{P(1-p)}{n} = \sqrt\frac{(0.34)(0.66)}{125} = 0.0424[/tex]

The distribution of sample proportion will be;

N (0.34, 0.0424)

Therefore, option (a) is correct that is n(0.34, 0.0424)

5) The likelihood that between 28% and 40% of the 125 taxpayers in the sample used tax preparation software is calculated as follows:

pnorm (0.4, 0.34. 0.0424) - pnorm (0.28, 0.34, 0.0424)

Therefore, option A is correct that is pnorm(0.4,0.34,0.0424)-pnorm(0.28,0.34,0.0424)

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The value of the basket in 2018 was $92.48 if the basket contains 15 lollipops, 10 bars of chocolate, four jars of peanut butter, and two ice-cream cakes.

The value of the basket in 2018 can be calculated by using multiplication and addition.

First, we multiply the cost of each good in 2018 by the number of that good in the basket to calculate their total cost.

Lollipop: $0.80 × 15 = $12

Chocolate: $3.75 × 10 = $37.5

Peanut butter: $4.25 × 4 = $17

Ice-cream cake: $12.99 × 2 = $25.98

Now the value of the basket in 2018 can be calculated by adding these amounts of each good. Therefore;

Value of basket = $12 + $37.5 + $17 + $25.98

Value of basket = $92.48

Hence the value of the basket in 2018 is $92.48

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This mixture has an extra scoop of chocolate ice cream so will taste more chocolatey than 3 scoops of chocolate ice cream and 2 cups of milk.

The translation moves 5 units to the left and 2 units down, so we have:

c = -5

d = -2

To identify the translation, let's follow a single vertex of the triangle.

The top vertex of triangle A is at (2, -3)

After a reflection about the x-axis only the y-value changes, so after the reflection the coordinates of that vertex will be:

(2, 3).

In now we apply the given translation, the new coordinates will be:

(2 + c, 3+ d)

And the coordinates of this vertex on triangle B is (-3, 1), so we have:

(2 + c, 3+ d) = (-3, 1)

2 + c = -3

c = -3 - 2 = -5

3 + d = 1

d = 1 - 3

d = -2

So the translation is defined by the values:

c = -5

d = -2

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Answer:

$6633.04

Step-by-step explanation:

6000x1.034^3=6633.04

The value of his investment after 3 years will be $6633.04.

In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor. It differs from a fee that the borrower may pay to the lender or a third party.

Compound interest is the interest added to the principal amount of a loan or deposit, also known as interest on interest plus interest.

Given that Harry invests £6000 in a savings account. The account pays 3.4% compound interest per year.

The compound interest will be calculated as,

[tex]A = P( 1 + \dfrac{r}{100})^{nt[/tex]

Substitute the values in the equation above and solve,

A = 6000 x 1.034³

A = $6633.04

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