WORTH 25 POINTS!!! EASY POINTS! Plot C(-4, -5) ,D(-4,3) ,E( -3,2), and F(-8,2) in a coordinate plane. Are CD and EF congruent?​

WORTH 25 POINTS!!! EASY POINTS! Plot C(-4, -5) ,D(-4,3) ,E( -3,2), And F(-8,2) In A Coordinate Plane.

Answers

Answer 1

Answer: not congruent

Step-by-step explanation:

To know if CD and EF are congruent, you need to use the distance formula to find CD and EF. If the distance is the same, then they are congruent.

Distance formula: [tex]d=\sqrt{(x_{2}-x_1)^2+(y_2-y_1)^2}[/tex]

CD

[tex]d=\sqrt{(-4-(-4))^2+(3-(-5))^2}[/tex]                [parenthesis]

[tex]d=\sqrt{(0)^2+(8)^2}[/tex]                                           [exponent]

[tex]d=\sqrt{0+64}[/tex]                                                   [add]

[tex]d=\sqrt{64}[/tex]                                                         [square root]

[tex]d=8[/tex]

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

EF

[tex]d=\sqrt{(-8-(-3))^2+(2-2)^2}[/tex]                      [parenthesis]

[tex]d=\sqrt{(-5)^2+(0)^2}[/tex]                                        [exponent]

[tex]d=\sqrt{25+0}[/tex]                                                  [add]

[tex]d=\sqrt{25}[/tex]                                                        [square root]

[tex]d=5[/tex]

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

After finding the distance of CD and EF, we can say that they are not congruent. The line CD is 8 units long and line EF is 5 units long. Therefore, they are not congruent.


Related Questions

The PTA has 25 members. Each member must pay $5.50 in membership dues. In the first week of school, 11 members paid their dues. The remaining members paid during the second week. How much money was collected in dues during the second week of school?​

Answers

Answer:

$77.00

Step-by-step explanation:

25-11= 14

14 x 5.50= 77

Watermelon is on sale for $4 per pound. How much would 12.8 pounds cost?​

Answers

Answer:

$51.2

Step-by-step explanation:

4 x 12.8 = 51.2

In each sack, there are 10 bags. In each bag, there are 5 pouches. Which number completes the equation that relates p, the number of pouches, and s, the number of sacks?

Answers

Answer: p = 50 s

Step-by-step explanation:

Given: In each sack, there are 10 bags. In each bag, there are 5 pouches.

i.e. Total pouches in each sack = (Number of bags in each sack) x (Number of pouches in each each bag)

= 10 x 10 =50

Let p =  number of pouches, and s= the number of sacks

Then, Number of p pouches in s sacks will be given by-

p = 50 s , which is the required equation.

It costs $10 to get into a carnival. It costs an
additional $2 for each ride you go on. If you paid
a total of $36 at the carnival, how many rides did
you go on?

Answers

Answer:

13

Step-by-step explanation:

36-10=$26 spent on rides

26/2=13

If you payed $10 to get in and spent an extra $26 then you would have went on 13 rides whilst at the carnival.

Which list shows these numbers in order from least to greatest?

Answers

Answer:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...

Answer:

Put the negatives 1st the then positives... assuming thats what it is

Step-by-step explanation:

pls help asap!! Thank you! :D

Answers

the first blank is 10. second blank is 7. third blank is 63.

14x-10=3 (4+x); solve for x

Answers

Answer:

x = 2

Step-by-step explanation:

So we are given the equation 14x - 10 = 3(4 + x) and we are asked to solve for x. To this, we will have to get x by itself on one side and a value on the other side.

14x - 10 = 3(4 + x)

Distribute the 3 on the right side.

14x - 10 = 12 + 3x

Add 10 to both sides.

14x = 22 + 3x

Subtract 3x from both sides.

11x = 22

Divide both sides by 11.

x = 2

So now we got the answer of x = 2.

I hope you find my answer helpful.

Answer:

x = 2

Step-by-step explanation:

14x - 10 = 3(4+x)

=> 14x -10 = 12 + 3x

=> 14x - 3x = 12 + 10

=> 11x = 22

=> x = 22/11

=> x = 2

Seven more than twice a number is 17

Answers

Answer:

2x + 7 = 17 using algebra equation you can resolve ir

2) 23 and 24 are complementary angles. If m 23 = (x + 24)º and m 24 = (x )º, then
find the measures of these angles,

Answers

Answer:

m<23 = 57° & m<24= 33°

Step-by-step explanation:

You have to create an equation that equals 90°.

(x+24)+x=90

2x+24=90

2x=66

x=33

m<23 = 33+24= 57° so m<23= 57°

m<24= 33°

Mrs. Bell has an interest rate of 4.175% on her house. Mr. Bentley has an interest rate of 4.25% on his house. Which explains who has the lower interest rate?

A.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 0 thousandths is less than 5 thousandths.

B.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 5 hundredths is less than 7 hundredths.

C.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 7 hundredths is less than 5 hundredths.

D.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.

Answers

Answer: D. Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 the third is less than 2 tenths.

Answer:

D

Step-by-step explanation:

3) There are 35 people living in poverty and 42 people not living in poverty

1) John says that the ratio of people living in poverty to the people not living in poverty is 5:7. Explain why John is or is not correct. Use a diagram to support your answer.

Answers

Answer:

John is not correct

Step-by-step explanation:

(Unless you meant 5:6)

Make the base question into [tex]\frac{35}{42}[/tex]

simplify as much as possible. I found the Greatest Common Denominator (GCF) of 35 and 42, which was 7

divide 35 and 42 by the GCF (7), and you should get 5:6 as your answer.

Alice’s school has purchased a new $10,000 copier. The copier depreciates in value by 15% every year. The principal will replace the copier when it drops below 10% of its original value.
The inequality 10,000()t < can be used to represent the situation.
The solution set for the inequality is (, ∞).

Answers

Answer:

The inequality 10,000 (0.85)^t < (1,000) can be used to represent the situation.

The solution set for the inequality is (14.168)

Answers: 0.85, 1,000, 14.168

The solution set for the inequality is (15, ∞).

What is depreciation?

The monetary value of an asset decreases over time due to use, wear and tear or obsolescence. This decrease is measured as depreciation.

What is compound interest for depreciation?

If the reduced value of the goods is compounded for fixed time then it is called compound depreciation.

Formula of compound interest for depreciation:

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

Where,

A= Final Amount

P = initial Principal

n = time in years

r = rate per annum

According to the question

New copier costs (p)  = $10,000

depreciates in value every year (r) =  15%

The principal will replace the copier when it drops below 10% of its original value.

i.e  Final amount should be less than [tex]$10,000 * \frac{10}{100}[/tex]  

A is < $ 1000

Using compound interest formula :

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

[tex]1000 > 10000(1-\frac{15}{100} )^{n}[/tex]

[tex]0.1 > (0.85 )^{n}[/tex]

n ≈ 14.168

n = after 15years (next whole no)

Hence , The solution set for the inequality is (15, ∞).

To know more about compound interest for depreciation here:

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Plss help will give brainliest

Answers

(-4,-2) is an Invalid pout and each component of the different quotient separately and plug the components into the difference quotient formula .

Write the sentence as an inequality. Three times a number r plus 8 is fewer than −12

Answers

Answer: [tex]3r+8<-12[/tex].

Step-by-step explanation:

It is given that three times a number r plus 8 is fewer than −12.

We need to write the sentence as an inequality.

Three times a number r = 3r

Times a number r plus 8 = 3r+8

Fewer than = less than = <

So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is

[tex]3r+8<-12[/tex]

Therefore, the required inequality is [tex]3r+8<-12[/tex].

The inequality that describes the sentence is:

[tex]3r + 8 < -12[/tex]

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

3 times 1 is [tex]3 \times 1 = 3[/tex], 3 times 2 is [tex]3 \times 2 = 6[/tex], and so on, thus 3 times a number r is [tex]3 \times r = 3r[/tex].The plus word means that we have an addition operation, plus 8, thus [tex]3r + 8[/tex]Fewer than -12 means that the less than -12 completes the inequality, thus:

[tex]3r + 8 < -12[/tex]

Which is the inequality that describes this situation.

A similar problem is given at https://brainly.com/question/13094243

Himari is solving the equation 4( x - 3 ) =16. Her first step is 4x - 12 = 16 math nation

Answers

Steps to solve:

4(x - 3) = 16

~Distribute left side

4x - 12 = 16

~Add 12 to both sides

4x = 28

~Divide 4 to both sides

x = 7

Best of Luck!

Convert 5 and 2/7 into a improper fraction.

Answers

Answer:

14 divide 5 =3.1 is your answer if I'm not wrong

Answer:

37/7

Step-by-step explanation:

First you multiply 5 by the denominator which is 7 which will equal to 35 and then you add the numerator which is 2 to that and you get 37/7

What is the solution set for the inequality Negative one-fourthx2(x – 4)(x +5) ≤ 13?

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity

Answers

Plus means addition and square root means √

3 plus the square root of negative 16: 3 + √-16

Minus means subtraction and square root means √

6 minus the square root of negative 64: 6 - √-64

Its asking you to multiply both quantities.

(3 + √-16) * (6 - √-64)

Best of Luck!

Answer:

18-32i^2

Step-by-step explanation:

3 + the negative square root of 16 would simplify to 4i

so it will be (3+4i)

6 - the negative square root of 64 would simplify into 8i

so it will be (6-8i)

To solve (3+4i)(6-8i) use FOIL and add like terms

When you add a positive and negative number, how can you tell whether the sum will be positive or Negative? ​

Answers

Answer:

just remember this:

negative x negative = positive

positive x positive = positive

postive x negative = negative

negative x postive= negative

lookon bbcbitesize for adding negatives and positive rule

emily created the net worth statement shown. Based on the Information in the table, what is emilys net worth ?​

Answers

Answer:

the answer is B

Step-by-step explanation:

net worth is liabilities minus assets

The answer to this question is B

point e is the midpoint of segment DF.if de is 8 what is the length of df​

Answers

16

If e is the midpoint than that means it is in the middle so if there is 8 on one side than there is 8 on the other side as well.

Therefore 8 (DE) + 8 (EF) = 16 (DF)

What is the median of the following numbers: 100, 99, 81, 99, 86.
Need help? Click here.
93
99
0465
None of the other answers are correct

Answers

Answer:

its 99

Step-by-step explanation:

because it is the middle of your set after you arrange them in order from least to greatest

What is the value of 32 x 107 in scientific notation?
1.6x 1014
?
0.5x 102
05.0x10
5.0 x 10
%
0.5x 107

Answers

Answer:

32x107=3424=3,424*[tex]10^{3}[/tex]

Step-by-step explanation:

hi can someone help please​

Answers

Answer:

put ur protactor from the middle to where its up to then look at where the line is and you will get your answer

Answer:

Step-by-step explanation:

1. PQR is an equilateral triangle formed by 3 diagonals of the cube. Therefore, it would be 60 degrees. 2. An angle which measures less than 90° is called an acute angle. The measure between 0° to 90°. In the picture below, the angle formed by the intersection of PQ and QR at Q forms an angle PQR which measures 45°. Thus, PQR is called an acute angle.

What conclusion can be drawn by observing that 20 is to the right of 10 on a number line?

Answers

That 10 is a smaller number then 20

6 less than a number t?

Answers

Answer:

t-6

Step-by-step explanation:

listen to how the statement is worded, it will help with other problems like this.

I give you brainiest!​

Answers

Answer:its 42

Step-by-step explanation:

Y=42

Answer:

Step-by-step explanation:

Y = - x + 7

Y = - (-1) + 7

Y = 8

Solve the equation for X
4=6/ax+5

Answers

Answer:

x - 4 = 10 Solution.

2x - 4 = 10 Solution.

5x - 6 = 3x - 8 Solution

2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3 Solution.

Solution.

Step-by-step explanation:

The value of x in the given expression is -a/6

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 4 = 6x / a + 5

Solving for x, we get,

4 = 6x / a + 5

Subtracting 5 both the side,

6x / a = -1

Multiplying by a both the sides,

6x = -a

Dividing by 6 both sides,

x = -a/6

Hence, the value of x is -a/6

For more references on expressions, click;

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use suitable Identities and find
●( X - 5 ) ( x-5 )
●( 3x +2 ) (3x -2 )
●( 1+x )(1+x) ​

Answers

Answer:

[tex].[/tex]

Step-by-step explanation:

IdEnTiTy UsED

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

1)

[tex](x - 5)(x - 5)[/tex]

=(x-5)²

2)

[tex](3x - 2)(3x + 2)[/tex]

[tex] {(3 x)}^{2} - {(2)}^{2} [/tex]

[tex] = 9 {x}^{2} - 4[/tex]

3)

[tex](1+x)(1+x)[/tex]

= (1+x)²

If (8^9)p=8^18,what is the value of p? 20 points

Answers

Answer :

[tex]:\implies\sf\:(8^9)^p=8^{18}[/tex]

[tex]\dag\bf\:(a^m)^n=a^{mn}[/tex]

[tex]:\implies\sf8^{9p}=8^{18}[/tex]

[tex]\dag\bf\:18=9\times 2[/tex]

[tex]:\implies\sf\:8^{9p}=8^{9\times 2}[/tex]

[tex]\dag\bf\:a^x=a^y\:\longrightarrow\:x=y[/tex]

[tex]:\implies\sf\:9p=9\times 2[/tex]

[tex]:\implies\boxed{\bf{\red{p=2}}}[/tex]

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