Prove that if parallel lines are crossed by a transversal, then the alternate interior angles are congruent. That is, use rigid transformations to map ∠CFG onto ∠BCF. Explain.

Answers

Answer 1

Alternate interior angles are congruent if parallel lines are crossed by a transversal.

What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
A figure has been shown below,
Where there is 2 parallel line intersected by a transversal line.
The measure of the alternate angle [besides interior and exterior angle], their measure are equal to corresponding angles as well as with alternate angles. As shown in the figure.

Thus, alternate interior angles are congruent if parallel lines are crossed by a transversal.

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Related Questions

In a study published in the American Psychological Association's Journal of Personality and Social Psychology, 227 college students were asked to rate their level of aggression and indicate their level of exposure to video game violence. The study found that students who reported playing more violent video games engaged in more aggressive behavior. Which of the following conclusions can you make on the basis of this study?

a. There is no relationship between violent video games and aggression.
b. Nonviolent video games make students less aggressive.
c. Playing violent video games is associated with more aggressive behavior.
d. Violent video games make students more aggressive.

Answers

Answer:

c. Playing violent video games is associated with more aggressive behavior.

Step-by-step explanation:

This question is solved interpreting the text.

The study found that students who reported playing more violent video games engaged in more aggressive behavior.

The conclusion that it leads is that violent video games is associated with more agressive behavior. Keyword is associated, and the correct answer is given by option c.

The conclusion that can you make on the basis of this study is: c. Playing violent video games is associated with more aggressive behavior.

What is a Conclusion?

A conclusion refers to the final understanding that can be reached on a matter based on the findings in the study.

The findings from this study indicate that students who were exposed to violent video games had the tendency of becoming more aggressive.

So, we can conclude that violent video games is associated with aggressive behavior.

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Use the rectangle below to answer both part 1 and part 2
X+5
Part 1: Write an equation to find the value of x, if the area of the rectangle is 48 in?
Equation:
Part 2: What is the value of x, if the area of the retangle is 48 in2? Solve your equation from part 1.
X =
Blank 1:
Blank 2:

Answers

Answer:

i believe the equation is x = 48 ÷ 4 - 5

and x = 7

Step-by-step explanation:

you will need to take the are devided by width, because area is length times width. then subtract 5.

48÷4=12

12-5=7

Help me. Will give brainliest.

Answers

Answer:

63

Step-by-step explanation:

Jill collected honey from 9 different beehives, and recorded the amount collected, in gallons, from each hive in the line plot shown:
She wants to write the value of each point marked on the number line above (Points A-D) in gallons. What is the value of A using fractions?
My brother needs help I don't remember this devilish stuff

Answers

Answer:

A= 6/8 gallons

What generalization can you make about the following equations: 7 divided by 1/4 = 28. 7 x 4 = 28. quick pls. ✌️I'll make you brainliest if you can help

Answers

Answer:

I guess its because they have the same outcome

Identify the pattern for the following sequence. Find the next three terms in the sequence.
-15, -11, -7, -3,
a. Subtract 4; -7, -11, -15
b. Add 4; 2, 6, 10
C. Subtract 4: 1,5, 9
d. Add 4; 1,5,9

Answers

Answer:

d. add 4; 1, 5, 9

Step-by-step explanation:

to get from -15 to -11, they had to add 4, and so on.

-3+4= 1

1+4= 5

etc.

Solve 5(2x – 3) = x – 15 + 9x for x.
Question 12 options:

A)

–18∕5

B)

–12∕5

C)

0

D)

Infinitely many solutions

Answers

Answer:

the correct answer is option C) 0

Hope that helps! :)

whats the answer (4.5 × 10^4) ÷ (300) =

1.) 1500
2.) 1.5 × 10-2
3.) 150
4.) 1.5 × 10^6​

Answers

Answer:

the answer is 150

.....

Answer:

150

Step-by-step explanation:

(4.5 x 10^4)/300=(4.5 x 10,000)/300=45,000/300=150

One eighth of 4 equals

Answers

Answer:

one eighth of 4 equals 1/5

derive

Sinxy = x² + 2xy​

Answers

Answer:

    [tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]

Step-by-step explanation:

Step(i):-

Given

        sin xy = x² + 2xy ...(i)

Apply

       [tex]\frac{d}{dx} UV = U^{l} V + U V^{l}[/tex]

     [tex]\frac{d}{dx} x^{n} = nx^{n-1}[/tex]

Differentiating equation (i) with respective to 'x', we get

      [tex]cosxy \frac{d}{dx} (xy) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]

      [tex]cosxy (x\frac{dy}{dx} +y(1)) = 2x + 2( x\frac{dy}{dx} + y(1))[/tex]

     [tex]cosxy (x\frac{dy}{dx}) + ycosxy = 2x + 2( x\frac{dy}{dx}) +2 y)[/tex]

   [tex]cosxy (x\frac{dy}{dx}) - 2( x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]

   [tex](cosxy-2) (x\frac{dy}{dx}) = 2x +2 y- ycosxy[/tex]

       [tex]\frac{dy}{dx} = \frac{2x +2 y- ycosxy}{x(cosxy-2)}[/tex]

x+y+x=22
a+a+x=28
y+2y+2a=38
2y*x*2a=?
there are no 0, negative number, or fractions
solve for all variables

Answers

x = 8
y = 6
a = 10
? = 1920

x + y + x = 22
8 + 6 + 8 = 22

a + a + x = 28
10 + 10 + 8 = 28

y + 2y + 2a = 38
6 + 2(6) + 2(10) = 38

2y * x * 2a =
2(6) * 8 * 2(10) = 1920

Lightening Energy Drink has 15.2 calories per fluid ounce. If Jeremy drinks two 12 ounce of Lightening Energy Drinks, then how much calories Dias he consume? Must show work

Answers

Answer:

15.2*12=182.4

Step-by-step explanation:

por favor ayudenme que tenga explicación y respuesta los seguiré pero plisss​

Answers

Step-by-step explanation:

es fácil -2y + 3y - 5y=

-4y

probar por medio de induccion

Answers

Answer:

Wt

Step-by-step explanation:

2. Simon has to learn 155 words. If he learns 5 words every day. How many days will be take to learn all
the words?​

Answers

Answer:

31 days

Step-by-step explanation:

155/5=31

Answer: 31

Step-by-step explanation:

155 divided by 5 equals 31

Solve for y.

25 = y2

y =
or

Answers

Answer:

y=5 or y=−5 it does not matter either one

Step-by-step explanation:

25=y2

Step 1: Subtract y^2 from both sides.

25−y2=y2−y2

−y2+25=0

Step 2: Subtract 25 from both sides.

−y2+25−25=0−25

−y2=−25

Step 3: Divide both sides by -1.

−y2

−1

=

−25

−1

y2=25

Step 4: Take square root.

y=±√25

y=5 or y=−5

Answer:

Let's solve your equation step-by-step.

25 =  [tex]y^{2}[/tex]

Step 1: Subtract y^2 from both sides.

25 − [tex]y^{2}[/tex] = [tex]y^{2}[/tex] − [tex]y^{2}[/tex]

−[tex]y^{2}[/tex]+ 25 = 0

Step 2: Subtract 25 from both sides.

−[tex]y^{2}[/tex]+ 25 − 25 = 0 − 25

−[tex]y^{2}[/tex] = − 25

Step 3: Divide both sides by -1.

[tex]y^{2}[/tex]  / −1  =  −25  / −1

[tex]y^{2}[/tex] =25

Step 4: Take square root.

y = ± √25

y = 5 or y = −5

Answer:

y = 5 or y = −5

Hope it helps

Please mark me as the brainliest

Thank you

Using the table below, determine how much you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares.

Answers

The amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is:$15.

Dividend

Using this formula

Amount=Dividend (Div)×Number of shares

Where:

Dividend=0.15

Number of shares=100

Let plug in the formula

Amount=0.15×100

Amount=$15

Therefore the amount you will receive in dividends for the year from Cisco Systems given that you currently hold 100 shares is: $15.

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The day after the day after tomorrow is four days before Monday. What day is it today?​

Answers

my brain hurts and i can’t comprehend this

ayudaa para mañana !!​

Answers

Answer:

ok bueno dejamr haber que ago

Answer:

2/5 > 1/3

9/20 > 13/30

17/12 < 22/15

Step-by-step explanation:

Encuentra un denominador común. por ejemplo, 2/5 y 1/3 tienen un denominador común de 15. 2/5 se convierte en 6/15 y 1/3 se convierte en 5/15. 6 es mayor que 5. ¡Espero que esto ayude y buena suerte!

3. Complete the following as in the example:
723 = 7 hundreds + 2 tens + 3 units
a. 678 =
b. 5 021 =
C. 7 804 =
d. 6 300 =​

Answers

Step-by-step explanation:

a) 6 hundreds+ 7 tens+8 ones

b) 5 thousands+2 tens+1 ones

c) 7 thousand+8 hundreds+ 4 ones

d) 6 thousands+ 3 hundreds

The rain gauge after a week showed that there were ten inches of rain. Every day the rain evaporated two inches but one more inch of rain was added. By what day was the rain gauge free of water?
A. day 11
B. day 10
C. day 8
D. day 7

Answers

Answer:

10 days to free water from rain gauge

3^3
or 3 x 3 x 3.
4^7
( 7 x 7 x 7 x 7)
and
5^6

Answers

Answer:

3^3= 27

4^7= 16384

5^6=3125

help meeeeee the choices and question is there :)

Answers

the answer is c because the y intercept is -3.5 and the slope is 3.5
y=3.5x-3.5, answer choice B

I need help quick answer if you know please

Answers

Answer:

B

Step-by-step explanation:

500 x 6 = 3000

154 x 6 = 924

Hope that helps!

The function f(x)=2000(1.05)^(x) models a population of butterflies after x years. What will the population be in 7 years? plz help quick

Answers

Answer:

About 2,800.

Step-by-step explanation:

2,000(1.05)^x

x =7.

2,000(1.05)^7

find 1.05 to the power of 7, which is 1.4071....

then times 1.4071... by 2,000. You will get 2,814.2 - or about 2,800.

The population of butterflies after 7 years will be approximately 2814 butterflies.

What is an exponential function?

An exponential function is defined as a function whose value is a constant raised to the power of an argument is called an exponential function.

The formula f(x) = 2000(1.05)ˣ can be used to model the population of butterflies after x years, where x is a non-negative integer.

Here, the initial population is 2000.

To find the population of butterflies after 7 years, we can substitute x = 7 into the given function and evaluate:

f(7) = 2000(1.05)⁷

Using a calculator, we get:

f(7) ≈ 2814

Therefore, the population of butterflies after 7 years will be approximately 2814 butterflies.

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Samantha works in a chocolate factory at a conveyor belt that is 18 inches wide and moves large amounts of chocolate to packaging. She counts 225 chocolates in a rectangular section of the conveyor belt measuring 6.5 inches long and 18 inches wide. What is the approximate number of chocolates per square inch of the conveyor belt, rounded to the nearest hundredth?

Answers

Answer:

1.92 chocolates per in²

Step-by-step explanation:

Given that:

Dimension of conveyor belt :

6.5 inches long and 18 inches wide (6.5in * 18in)

Area of conveyor belt = 6.5 * 18 = 117 in²

Number of chocolate = 225

Number of chocolates per square inch :

225 / 117

= 1.9230769 chocolates

= 1.92 chocolates per in²

Suppose you are buying apples and bananas. The price of apples is $0.40 each and
the price of bananas is $0.25 each. Which equation models the number of apples and
bananas you can buy for $2?
a. 40x + 25y = 200
b. 40x – 25y = 2
C. 5x + 8y = 200
d. 5x + 8y = 2

Answers

Answer:

D

Step-by-step explanation:

.
.
.
.
.
.
.
.
.
.
.
.
.
.
.

Answers

5 a) 22.6

b) 67.8

6 a) 9 miles

b) 18 miles

7. Alicia

Hope this helps pls mark me brainliest thx that took me ages

HELP
In a fruit basket there are 9 bananas, 4 apples, and 3 plums. Fill in the blanks- The ratio of bananas to apples is ___:___

Answers

Answer:

9:4

Step-by-step explanation:

How to solve 2x +3=2(x-6)?

Answers

Answer:

3 ≠ -12

Step-by-step explanation:

2x + 3 = 2(x-6)

2x + 3 = 2x - 12

3 ≠ -12

Answer:

3 ≠ -12

Step-by-step explanation:

2x + 3 = 2(x-6)

2x + 3 = 2x - 12

3 ≠ -12

Other Questions
Catalina chooses to buy only two books for catalina to buy then find how much money she will have left A district sales manager wishes to determine whether there is a difference in mean daily sales volume between two stores in his district. He collects daily sales volume for the month of June to do the analysis. Assume that the population standard deviations are unknown and unequal. The hypothesis test is to be conducted using the 0.01 level of significance. Partial output of his results from Excel can be found in the table below:Store 1 Store 2sample size (n) 32 32 sample mean daily sales volume (in $1,000) 17 21 sample standard deviation (in $1,000) 5.2 6.1 degrees of freedom 62 what is the value of the test statistic?Multiple Choicea. 3.272b. +1.421c. 3.206d. 2.934 A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.Carpeted: 7, 11.9, 9.8, 15.1, 11.9, 14.6, 7.9, 15.3.Uncarpeted: 8.6, 8, 6.3, 8.7, 13.6, 11.3, 12, 9.9Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha equals 0.01=0.01 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers.A) State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms?B) Determine the P-value for this hypothesis test. P=?C) State the appropriate conclusion. Choose the correct answer below.- Upper H 0H0. There isis significant evidence at the alpha equals 0.01=0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.-Do not reject Upper H 0H0. There is not significant evidence at the alpha equals 0.01=0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.- Reject Upper H 0H0. There is not significant evidence at the alpha equals 0.01=0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms.- Reject Upper H 0H0. There is significant evidence at the alpha equals 0.01=0.01 level of significance to conclude that carpeted rooms have more bacteria than uncarpeted rooms. The arrivals of customers at a small shop follow a homogeneous Poisson process {N(t), t 0} with rate . Suppose that each customer spends a random amount of time, si in the shop, with distribution F and mean E(si) = S. If a new customer arrives while another customer is in the shop, the new customer turns away and is lost.Suppose that each customer spends a random amount of money, wi, with distribution G and mean E(wi) = w. Let W(t) be the total sales of the shop up to time t.Find limt[infinity] W (t)/t.Hint: in your solution let ti denote the time between customers who are served. an indirect endoscopic procedure of the larynx means the larynx is viewed: regarding the 98onfidence interval in question 1, what is the left boundary of the confidence interval? following case study "A Can of Bull? 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