Given the figure below, determine the angle that is a same side interior angle with respect to

Answers

Answer 1

We remember that two interior angles are those inside the are of the lines, Thus, the angles in the area:

Are interior. Now, we identify two sides, the right side, and the left side, which have been separated by the transversal line.

Thus, the angle that is is the same side as ∡3, and also that is interior is ∡5.

Related Questions

Calculate the average rate of change for the function f(x) = 3x4 − 2x3 − 5x2 + x + 5, from x = −1 to x = 1.

a
−5

b
−1

c
1

d
5

Answers

Average rate of change for the function f(x) = 3x⁴ -2x³ -5x² +x +5 from

x =-1 to x=1 is equal to -1.

As given in the question,

Given function :

f(x) = 3x⁴ -2x³ -5x² +x +5

Formula for average rate of change for (a, f(a)) and (b, f(b))

[f(b) -f(a)] / (b-a)

Substitute the value of a=-1 and b=1

f(-1)=3(-1)⁴ -2(-1)³-5(-1)² +(-1) +5

= 3+2-5-1+5

f(1)=3(1)⁴ -2(1)³-5(1)² +(1) +5

= 3-2-5+1+5

= 2

Average rate of change = (2-4)/(1-(-1))

= -2/2

=-1

Therefore, average rate of change for the function f(x) = 3x⁴ -2x³ -5x² +x +5 from x =-1 to x=1 is equal to -1.

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A sector of a circle has a central angle of 60∘ . Find the area of the sector if the radius of the circle is 9 cm.

Answers

Step-by-step explanation:

area of a sector is theta ÷360 ×πr²

what is the area of a triangle with the legth of 8in,12in,6in

Answers

Area is

[tex]A=\frac{1}{2}bh=\frac{1}{2}\times6\times8=\frac{48}{2}=24[/tex]

answer: 24 sq in

12. A teacher weighed 148 lbs. in 1999 and weighs 190 lbs. In 2020. What was the rate ofchange in weight?

Answers

Given,

The weight of the teacher in 1999 is 148 lbs.

The weight of the teacher in 2020 is 190 lbs.

The rate of change in weight is,

[tex]\begin{gathered} \text{Rate of change=}\frac{190-148}{2020-1999} \\ =\frac{42}{21} \\ =2 \end{gathered}[/tex]

The teacher gained 2 pounds per year.

Hence, option A is correct.

I got the picture and will send it to you show the coordinates of the points that create the shape of the image

Answers

We have the following:

[tex]\begin{gathered} P(1-1,-3+3)\rightarrow P^{\prime}(0,0) \\ Q(3-1,-1+3)\rightarrow Q^{\prime}(2,2) \\ R(4-1,-3+3)\rightarrow R^{\prime}(3,0) \end{gathered}[/tex]

now,

The answer is:

algebra 2 question..

Answers

We are supposed to solve the equation

[tex]6(2x-1)-12=3(7x+4)[/tex]

Here, we need to apply the distributive laws on both sides.

Comment: The distributive laws say that

[tex]a(b+c)=ab+ac\text{ and }(b+c)a=ba+ca[/tex]

Using this comment we get

[tex]6(2x-1)=6(2x)+6(-1)=12x-6[/tex][tex]3(7x+4)=3(7x)+3(4)=21x+12[/tex]

Then, our equation becomes

[tex](12x-6)-12=21x+12[/tex][tex]12x-18=21x+12[/tex]

Now, let's apply the rule: terms with x on the right-hand side, and the rest on the left-hand side, to obtain

[tex]-18-12=21x-12x[/tex][tex]-30=9x[/tex][tex]x=\frac{-30}{9}=-\frac{10}{3}[/tex]

(8-4) mulitiply (3-2)=

Answers

answer to this question is 4

What is the product of 11/12 and its reciprocal?

Answers

Answer:

The product of 11/12 is 0.916.This as as a fraction would be 0.916/1.00. This means it's reciprocal is 1.

Step-by-step explanation:

The reciprocal is basically the bottom part, denominator, of the fraction, being siwtched to on top of the fraction (numerator, and vice versa. The fraction would be 0.916/ 1.00 because the closest whole number to 0.916 is 1, meaning the fraction would be 0.916 out of 1. DO NOT MISTAKE THIS FOR 100. When you do the final step, finding the recirprocal of 0.916/1.00, we siwtch the numerator and denominators position, making out answer:

The product of 11/12 is 0.916 which is 0.916/1.00 in fraction form. The reciprocal of this is 1.00/0.916. Hope this helped!

NO LINKS!! Please help me with this probability question 2a

Answers

Answer: 50% (choice B)

====================================================

Work Shown:

A = he eats pizza

B = he drinks cola

P(A) = 0.40

P(B) = 0.60

P(A and B) = 0.30

Then apply the conditional probability formula.

P(A given B) = P(A and B)/P(B)

P(A given B) = 0.30/0.60

P(A given B) = 0.5 exactly

P(A given B) = 50%

If we know for certain he drinks cola, then there's a 50% chance of him eating pizza.

what is 5/6 converted to decimal form

Answers

5/6 in decimal form is

[tex]\frac{5}{6}=0.8\bar{3}[/tex]

Evaluate the expression (4x^3y^-2)(3x^-2y^4) for x = –2 and y = –1.

Answers

Answer:

3x−2y)(4x+3y)

It can be written as =3x(4x+3y)−2y(4x+3y)

By further calculation =12x

+9xy−8xy−6y

So we get =12x

+xy−6y

identify the slope: 6x - 2y = -6

Answers

Answer:

The slope = 3

Explanations:

Note that:

The slope - Intercept form of the equation of a line takes the form y = mx + c

where m is the slope and

c is the intercept

The given equation is:

6x - 2y = -6

The equation can be re-written as:

2y = 6x + 6

2y / 2 = 6x/2 + 6/2

y = 3x + 3

The slope, m = 3

The intercept, c = 3

Slope m=3
Y intercept=3

A friend plans to purchase a 72-inch tv at a particular store for a cost of $1500. The store is offering 25% off any one item. He also has an internet coupon for an additional 10% off any discounted price. How much will your friend save (a) in dollar amount and (b) in percent?

Answers

the The Solution.

The marked price of the 72-inch TV = $1500

25% discount makes the actual discount to be:

[tex]\begin{gathered} \text{Actual Discount = 25 \% of 1500} \\ \text{ = }\frac{25}{100}\times1500=\text{ \$375} \end{gathered}[/tex]

So, the discounted price will now be

Discounted price = 1500 - 375 = $1125

He has an additional 10% internet coupon discount on already dicounted price ($1125) .

[tex]\begin{gathered} \text{Additional discount = 10\% of 1125} \\ \text{ =}\frac{10}{100}\times1125=\text{ \$112.50} \end{gathered}[/tex]

a. The friend will save

[tex]\begin{gathered} 375+112.50 \\ =\text{ \$487.50} \end{gathered}[/tex]

b. in percentage, he saved

[tex]\frac{487.5}{1500}\times100=32.5\text{ \%}[/tex]

Therefore, the correct answers are:

a. $487.50

b. 32.5%

Write an equation for the graph below in point-slope form and then solve rewrite in slope-intercept form.

Answers

We are given the graph of a line and we are asked to determine its equation in point-slope form.

The general form in slope point form of a line is:

[tex]y-y_0=m(x-x_0)[/tex]

Where:

[tex]\begin{gathered} m=\text{ slope} \\ (x_0,y_0)\text{ is apoint in the line} \end{gathered}[/tex]

to determine the slope we will use the following formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where:

[tex](x_1,y_1);(x_2,y_2)=\text{ points on the line}[/tex]

We will choose two points on the line from the graph:

[tex]\begin{gathered} (x_1,y_1)=(0,1) \\ (x_2,y_2)=(2,2) \end{gathered}[/tex]

Now, we plug in the values in the formula for the slope:

[tex]m=\frac{2-1}{2-0}=\frac{1}{2}[/tex]

Now, we substitute the value of the slope in the equation of the line:

[tex]y-y_0=\frac{1}{2}(x-x_0)[/tex]

Now, we plug in the first point we choose for the line:

[tex]\begin{gathered} y-1=\frac{1}{2}(x-0) \\ \\ y-1=\frac{1}{2}x \end{gathered}[/tex]

And thus we have determined the equation of the line in point-slope form.

The slope-intercept form is the following:

[tex]y=mx+b[/tex]

To convert this equation to slope-intercept form, we will take the previous equations and we will add 1 to both sides:

[tex]y=\frac{1}{2}x+1[/tex]

And thus we have determined the slope-intercept form of the equations of the line.

Use the remainder theorem to find P (1) for P(x) = 2x - 3x' + 3x -3.Specifically, give the quotient and the remainder for the associated division and the value of P (1).미미2Quotient = 0Х$2Remainder =0P(1) =

Answers

Using the remainder theorem, we must find P(1) for:

[tex]P(x)=2x^4-3x^3+3x-3[/tex]

1) Because we want to evaluate P(x) for x = 1, we must compute

[tex]\frac{2x^4-3x^3+3x-3}{x-1}[/tex]

2) Now we make the synthetic division by putting a 1 in the division box:

The remainder from the division is:

[tex]R=-1[/tex]

The quotient of the division is:

[tex]2x^3-x^2+2x+2[/tex]

3) From the synthetic division we get a remainder R = -1, applying the Remainder Theorem we get that:

[tex]P(1)=R=-1[/tex]

Summary

The answers are:

[tex]Quotient=2x^3-x^2+2x+2[/tex]

[tex]Remainder=-1[/tex]

[tex]P(1)=-1[/tex]

There are 6 dogs and 2 mice. Write a ratio for the number of ears to th number of paws. * 6:2 3 people are in a room. Write a ratio to represent the number of finger

Answers

each dog has 4 paws, then 6 dogs have 6*4 = 24 paws

each mouse has 4 paws, then 2 mice have 2*4 = 8 paws

Total number of paws: 24 + 8 = 32 paws

each dog has 2 ears, then 6 dogs have 6*2 = 12 ears

each mouse has 2 ears, then 2 mice have 2*2 = 4 ears

total number of ears: 12 + 4 = 16 ears

The ratio for the number of ears to the number of paws: 16/32 = 1/2 or 1:2

.Find the area of the sector with radius 4 and central angle, ∅= 45°

Answers

Remember that the formula for the area of a sector is:

[tex]A=\frac{\pi\cdot r^2\cdot\theta}{360}[/tex]

Where:

• r, is the radius

• Theta ,is the central angle (in degrees)

Using this formula and the data given,

[tex]\begin{gathered} A=\frac{\pi\cdot4^2\cdot45}{360} \\ \rightarrow A=2\pi \end{gathered}[/tex]

Solve the inequality for x and identify the graph of its solution.|x+ 2] < 2Choose the answer that gives both the correct solution and the correct graph.

Answers

| x + 2 | < 2

-2 < x + 2 < 2

-2 - 2 < x + 2 < 2 - 2

-4 < x < 0 This is the inequality

Letter B is the right choice.

[tex]8.25 \div 6[/tex]8.25 divid by 6

Answers

We want to calculate the following number

[tex]\frac{8.25}{6}[/tex]

To make the calcul.ation easier, we will transform the number 8.25 into a fraction. Recall that

[tex]8.25=\frac{825}{100}[/tex]

So, so far, we have

[tex]\frac{8.25}{6}=\frac{\frac{825}{100}}{6}[/tex]

Also, recall that

[tex]6=\frac{6}{1}[/tex]

So, we have

[tex]\frac{\frac{825}{100}}{6}=\frac{\frac{825}{100}}{\frac{6}{1}}[/tex]

Now, recall that when we divide fractions, we have

[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}[/tex]

In this case, we have a=825,b=100,c=6,d=1.

So we have

[tex]undefined[/tex]

8.25 divided by 6 is 1.375

15% of $764.69rounded to the nearest cent.

Answers

Percentage is expressed in terms of 100. To find 15% of 764.69, we would multiply ratio of 15% to 100% by 764.69. Thus, we have

15/100 * 764.69

= 114.7035

Solve the problem. Use 3.14 as the approximate value of pie

Answers

The volume of a cylinder is calculated using the formula:

[tex]V=\pi r^2h[/tex]

where r is the radius of the cylinder and h is the height.

From the question, we have the following parameters:

[tex]\begin{gathered} diameter=4.8 \\ \therefore \\ r=\frac{4.8}{2}=2.4 \\ and \\ h=6.66 \end{gathered}[/tex]

Therefore, we c n calculae tehe volume of a cylinder to be:

[tex]\begin{gathered} V=3.14\times2.4^2\times6.66 \\ V=120.455424 \end{gathered}[/tex]

For four cylinders, the combined volume will be:

[tex]\begin{gathered} V=120.455424\times4 \\ V=481.821696 \end{gathered}[/tex]

The volume i 481 .82 cubic inches.

Two functions are shown. f(x) = 29(0.5)* g(x) = 18x + 14 What is the value of f(2) + g(4)?

Answers

Answer:

93.25

Explanation:

Given the below functions;

[tex]\begin{gathered} f(x)=29(0.5)^x \\ g(x)=18x+14 \end{gathered}[/tex]

To be able to find the value of f(2) + g(4), we have to 1st determine the value of f(2) and f(4) as shown below;

[tex]\begin{gathered} f(2)=29(0.5)^2=29\ast0.25=7.25 \\ g(4)=18(4)+14=72+14=86 \end{gathered}[/tex]

Let's go ahead and find the value of f(2) + g(4);

[tex]f(2)+g(4)=7.25+86=93.25[/tex]

Can you Help me with this i cannot do ir

Answers

To translate f(x) 4 units down we subtract 4 from f(x):

[tex]f(x)-4.[/tex]

Now, to reflect f(x)-4 over the x-axis we multiply by -1:

[tex]-1(f(x)-4)=-f(x)+4.[/tex]

Answer:

[tex]g(x)=-\sqrt[3]{x-2}+4.[/tex]

a. Create a perfect square trinomial.

b. Factor the perfect square trinomial you created in 1a.

a. Create a difference of two squares.

b. Factor the difference of two squares you created in 2a.

a. Describe at least one similarity between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.

b. Describe at least one difference between the perfect square trinomial and the difference of squares. You can use either the form you wrote in 1a and 2a, or you can use their factored form from 1b and 2b. Write your answer using complete sentences.
A factored perfect square might look like (x+a)(x+a) or (x-a)(x-a) [or (ax+b)(ax+b) but keep it simple]. Then, distribute.

A factored difference of two squares might look like (x+a)(x-a). Then, distribute.

(pick a number for a)

Answers

a. One example of a perfect square trinomial is: x² + 6x + 9.

b. The factored trinomial above is: (x + 3)².

a. One example of a difference of two squares is: x² - 4.

b. The factored difference of squares above is: (x - 2)(x + 2).

a. The similarity is that the first term is positive for both cases.

b. The difference is that the final term is positive for perfect square trinomials and negative for the difference of squares.

Perfect square trinomials

There are two examples of perfect square trinomials, the square of the sum and the square of the subtraction, as follows:

Square of the sum: (a + b)² = a² + 2ab + b².Square of the subtraction: (a - b)² = a² - 2ab + b².

The left side is the factored form and the right side is the expanded form.

Hence one example of a perfect square trinomial is given as follows:

(x + 3)² = x² + 6x + 9.

Difference of two squares

A difference of two squares is factored as follows:

x² - y² = (x + 2)(x - 2)

Hence one possible example is:

x² - 4 = (x + 2)(x - 2).

Compared to the perfect square trinomial, we have that:

The similarity is that the first term in any of the two polynomials will always be positive.The difference is in the last term, for the perfect square it will always be positive (+ b²) and for the difference of two squares it will always be negative (- b²).

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How to draw the graphs of the following non-linear functions?y=x^2 + 1y=3^x + 1

Answers

The first step is to substitute values of x into each equation.

For y = x^2 + 1,

if x = - 2, y = (- 2)^2 + 1 = 4 + 1 = 5

if x = - 1, y = (- 1)^2 + 1 = 1 + 1 = 2

if x = 0, y = (0)^2 + 1 = 0 + 1 = 1

if x = 1, y = (1)^2 + 1 = 1 + 1 = 2

if x = 2, y = (2)^2 + 1 = 4 + 1 = 5

We would plot the corresponding values of x and y on the graph as shown below

For y = 3^(x + 1),

if x = - 2, y = 3^(-2 + 1) = 3^-1 = 0.33

if x = - 1, y = 3^(-1 + 1) = 3^0 = 1

if x = 0, y = 3^(0 + 1) = 3^1 = 3

if x = 1, y = 3^(1 + 1) = 3^2 = 9

if x = 2, y = 3^(2 + 1) = 3^3 = 27

We would plot the corresponding values of x and y on the graph as shown below

n a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c).
Purchase likelihood
Total

Total
Question content area bottom
Part 1
(a) What is the probability that a randomly selected individual is years of age, given the individual is to buy a product emphasized as "Made in our country"?
The probability is approximately

0.134.
(Round to three decimal places as needed.)
Part 2
(b) What is the probability that a randomly selected individual is to buy a product emphasized as "Made in our country," given the individual is years of age?
The probability is approximately

Answers

a) The probability that a randomly selected individual is 45-54 years of age, given the individual is neither more nor less likely to buy is 0.206

b) The probability that a randomly selected individual is neither more nor less likely to buy, given the individual is 45-54 years of age is 0.309

c) 18-34 year olds are less likely to buy a product emphasized as "Made in our country" than individuals in general.

Hence, the answer is no.

A random sample is one that is drawn at random from the population, meaning that every member of the population has an equal chance of being picked for the sample. The probability sampling approach is the practice of choosing people at random.

a. Total number of individuals that are neither more nor less likely to purchase = 786

Total number of individuals aged 45-54 that are neither more nor less likely to purchase = 162

The probability that a randomly selected individual is 45-54 years of age, given the individual is neither more nor less likely to buy =

= Total number of individuals aged 45-54 neither more or less likely to purchase./ Total number of individuals more or less likely to purchase.

= 162/786

= 0.206

b. Total number of individuals 45-54 years of age = 524

Total number of individuals aged 45-54 that are neither more nor less likely to purchase = 162

The probability that a randomly selected individual is neither more nor less likely to buy, given the individual is 45-54 years of age

= Total number of individuals aged 45-54 neither more or less likely to purchase./ Total number of individuals 45-54 years of age.

= 162/524

= 0.309

c. The number of 18-34 year old individuals more likely to buy = 204

The total number of 18-34 year old individuals = 523

The proportion of 18-34 year old individuals more likely to buy = 204/523

= 0.390

= 39%

The total number of individuals more likely to buy = 1266

The total number of all individuals in the survey = 2123

The proportion of individuals, in general, more likely to buy = 1266/2123

= 0.596

= 59.6%

Therefore, 18-34 year olds are less likely to buy a product emphasized as "Made in our country" than individuals in general.

Hence, the answer is no.

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Your question is incomplete. Please find the missing content below.

In a recent poll, a random sample of adults in some country (18 years and older) was asked, "When you see an ad emphasizing that a product is "Made in our country," are you more likely to buy it, less likely to buy it, or neither more nor less likely to buy it?" The results of the survey, by age group, are presented in the following contingency table. Complete parts (a) through (c).

Purchase likelihood 18-34 35-44 45-54 55 and over Total

More likely 204 318 334 410 1266

Less likely 27 5 28 11 71

Neither more nor less 292 210 162 122 786

Total 523 533 524 543 2123

a) What is the probability that a randomly selected individual is 45-54 years of age, given the individual is neither more nor less likely to buy a product emphasized as "Made in our country"? The probability is approximately _____. (round to three decimal places)

b) What is the probability that a randomly selected individual is neither more nor less likely to buy a product emphasized as "Made in our country", given the individual is 45-54 years of age? The probability is approximately _____. (round to three decimal places)

c) Are 18-34-year-olds more likely to buy a product emphasized as "Made in our country" than individuals in general? Yes or no

question 5 only. determine the missing side length QP. the triangles are not drawn to scale.

Answers

This is a simple question.

First, we can see both triangles are proportional, it means it has the same relation between its sides even if one is in a large scale and the other on a a small scale.

Now we can identify which side corresponds to which side. Once side AC is the longest one for triangle ABC it means its equivalent for triangle PQR is the side RP, so the equivalent for side AB is side QP. Once we know that we can write the following relation and calculate:

I need help me answering #10 I'm really bad with ratios. (also sorry for the bad lighting in the picture)

Answers

The ratio of Perch to total fish is:

3 ( Number of perch that he caught)

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

9 ( The result of the addition of all values)

Simplifying, we have:

---

So, the answer would be 1 : 3

Susanna has played the piano for s years. Patrick has played the piano for 4 more than twice the number of years that susanna has been playing the piano. which expression correctly shows the number of years that Patrick has been playing the piano.2s + 44s + 22 (s + 4)(s - 4) ÷ 3none of the above

Answers

Given data:

The expression for Patrick paly Piano is,

[tex]P=2s+4[/tex]

Thus, the first option is correct.

Tristan tried his luck with the lottery. He can win $85 if he can correctly choose the 3 numbers drawn. If order matters and there are 13 numbers in the drawing, how many different ways could the winning numbers be drawn?

Answers

The ways to select the winning numbers is 286

How to determine the ways the winning numbers could be drawn?

From the question, we have

Total numbers, n = 13Numbers to select, r = 3

The winning numbers could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 13 and r = 3

Substitute the known values in the above equation

Total = ¹³C₃

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 13!/10!3!

Evaluate

Total = 286

Hence, the number of ways is 286