Given: Line Segment AC ≅ Line Segment DC, ∠B≅∠D
Prove Line Segment AB ≅ Line Segment DE with a two-column proof

Given: Line Segment AC Line Segment DC, BDProve Line Segment AB Line Segment DE With A Two-column Proof

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

Statements                                                       Reasons:

[tex]1)\text{ } AC\cong DC[/tex]                                                      Given

[tex]2)\text{ } \angle B\cong \angle D[/tex]                                                      Given

[tex]3)\angle BCA \cong \angle ECD[/tex]                                            Vertical Angles are Congruent

[tex]4)\text{ } \Delta ACB\cong \Delta DCE[/tex]                                          AAS Congruence

[tex]5)\text{ } AB\cong DE[/tex]                                                      CPCTC


Related Questions

Martha rolls a 6 sided number cube two times.
What is the probability that she will roll a prime number both times.

Answers

Answer:

25% chance

Step-by-step explanation:

There are 3 prime numbers on a 6-sided die so that means there is a 1/2 chance you roll a prime number. In order to calculate the probability of 2 or more events you multiply their probability which would be

1/2 * 1/2 = 1/4

So the chance of rolling a prime number on both rolls is a 1/4 chance or a 25% chance

The probability that she will roll a prime number both times is 0.25.

What is the probability?

The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.

Given:

Martha rolls a 6 sided number cube two times.

And the prime numbers in the cubes are {2, 3, 5}.

The probability that she will roll a prime number both times,

= 3/6 x 3/6

= 1/2 x 1/2

= 1/4

= 0.25

Therefore, 0.25 is the probability.

To learn more about the probability;

brainly.com/question/11234923

#SPJ2

Find the 13th term of the arithmetic sequence -3x+7, -5x+3,−7x−1,...

Answers

Answer:

-27x - 41

Step-by-step explanation:

Answer attached

Hope it helps:)

Solve for x.
5(x - 2) = 30

Solve for x.
9 - 3x = 1 + x

Solve for x.
-3 + x = 2(x+3)

Solve for x.
7 = 3x - 5

Solve for x.
5x + 8 = 3x - 2

Solve for x.
2x - 9 = x + 7

Solve for x.
3x + 3 = 4 + x + (-1)

Solve for x.
3(2x + 4) = -6

Answers

1. x= 8

2. x=2

3. x=-9

4. x=4

5. x= -5

6. x=16

7 x=0

8: x=-3

Hope this helps!

Answer:

x > -1

Step-by-step explanation:

Move the constant to the right

-3x  6 -3

Subtract the numbers

-3x < 3

Divide both sides of the inequality by -3 and flip the inequality sign

x> -1

solution:

x > -1

A snow storm hit Sanford
with 7 inches of snow in 28
hours. What was the rate of
the snowfall in inches per
hour?

Answers

Answer:

4 inches per hour

Step-by-step explanation:

7 x 4 = 28

Estimate the number of pints in 445 ounces

Answers

Answer:

about 28

Step-by-step explanation:

its actually 27.8125 but if we're estimating im assuming that means to round

Answer:

28 pints

Step-by-step explanation:

There are 28 pints in 445 fluid ounces .

solve:
4sinx=3cosecx(0<=X<=180°)​

Answers

Answer:

x=60°,120°

Step-by-step explanation:

4sinx=3cosecx

4sinx-3cosecx=0

4sinx-3/sinx=0

4sin²x-3=0

sin²x=3/4

sinx=√(3/4)

sinx=√3/2=sin60°,sin(180-60)

Answer:

sin(180-60) is the correct answer Hope it helps you have a great day keep smiling be happy stay safe

PLZZ MHANIFA THIS THE LAST ONE
its all in the pic

Answers

Answer:

1) Use two points to find the slope

Points from the graph

(0, -1) and (1, 2)

Find the slope:

m = (2 - (-1))/(1 - 0) = 3

Slope is 3, y-intercept is -1

The line is:

y = 3x - 1

This is non-proportional as not passing through the origin (0, 0)

2) One point is sufficient to determine the slope as the line passes through the origin

Point (5, 2)

The slope is

m = 2/5

Line is:

y = 2/5x

This is proportional

3)  is answered here: https://brainly.com/question/23004781

14cm
12 cm
22cm. Find the area.

Answers

Answer:

216 [tex]cm^{2}[/tex]

Step-by-step explanation:

Area of a trapezoid = 1/2h([tex]b_{1} + b_{2}[/tex]) = 1/2(12)(14 + 22) = 6(36) =216 [tex]cm^{2}[/tex]

A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? Write an equation and solve to find the original price.

Answers

Answer: 341.4286

Step-by-step explanation:

Una moto A consume 8,2 litros de gasolina por cada 100km y otra moto B 8,9 litros de gasolina también por cada 100km. Calcula la gasolina que consume una moto en 1 km

Answers

Respuesta:

Motocicleta A = 0.082 litros por km

Motocicleta B = 0.089 litros por km

Explicación paso a paso:

Dado :

Consumo de gasolina de la motocicleta A y la motocicleta B por 100 km

Motocicleta A = 8.2 litros

Motocicleta B = 8,9 litros

Consumo por kilómetro:

Litros consumidos por 100 km / 100 km

Motocicleta A:

8.2 / 100 km

= 0,082 litros por km

Motocicleta B:

8,9 / 100 km

= 0,089 litros por km

What is the length of each leg of the triangle below?

explain it please so i know how to do it please

Answers

Answer:

I can't see the file. But I did something that sounded LIKE this. So try multiplying the parallel sides.

Step-by-step explanation:

Evaluating Expressions
Use the order of operations to help you solve.
67 - (8 X 6)
(100 + 25) = 5
18 X (32 +16)
67 - 48
125/5
19
-

Answers

Answer:

(100 + 25) / 5

125/5 = 25

18 x (32/16)

18 x 2 = 36

PEMDAS

parentheses, exponents, multiplication, division, addition, subtraction.

Xander had $24, he spent 3/4 of it how much money does he have left? What is the common mistake? Write in (show your work)

Answers

Answer:

6. The common mistake is believing that the 3/4 money is remaining.

Step-by-step explanation:

Since Xander spent 3/4 of the money, you would need to multily 24 dollars by  3/4 and find amount spent. This would be 18. Then subtract 24 -18 to get an answer of $6

Mr. Todd runs 3/4 of a mile every 1/10 of an hour. What is his unit rate in miles per hour?​

Answers

Answer:

15/2 miles/hour

Step-by-step explanation:

this is the .answer in the pic

A circle is graphed on a coordinate grid and then reflected across the y axis. if the center of the original circle was located at (x,y), which ordered pair represents the center of the new circle after the transformation?

Answers

Answer:

(-x,y)

Step-by-step explanation:

If it's positive and you flip it accross the y-axis, the x- coordinates become negative.

Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
A.y=x+6
B.y=-2x+8
C.y=-2x+4
D.y=1/2x+4

Answers

Answer:

B. y = -2x + 8

Step-by-step explanation:

So the slope is the number that comes before the x, and if the slope is -2, that means the number before is -2, and it is.

And to know if it goes through (1, 6), put those numbers into the equation and see if they match up (x is the y-intercept)

6 = -2(1) + x

6 = -2 + x

x = 8

The one with both of these is B, which means B is the answer

Answer: B. (y=-2x+8)

explanation: use slope point intercept
y-y1=m(x-x1)
y-6=-2(x-1)
y-6=-2x+2
y=-2x+8


Find the product 8/6n - 4(9n^2 -4)

Answers

Answer:

- (27n^3 - 12n - 1) over 3n

Step-by-step explanation:

At a football game, a vender sold a combined total of 181 sodas and hot dogs. The number of hot dogs sold was 51 less than the number of sodas sold. Find the
number of sodas sold and the number of hot dogs sold.

Answers

Answer: Number of hot dogs sold = 65

number of soda sold = 116.

Step-by-step explanation:

Let the number of hot dogs sold be represented by x.

Since the number of hot dogs sold was 51 less than the number of sodas sold, then the number of soda sold will be: = x + 51

Since the addition of both hot dogs and soda equals 181, we can form this into an equation which will be:

= x + (x + 51) = 181

x + x + 51 = 181

2x + 51 = 181

2x = 181 - 51

2x = 130

x = 130/2

x = 65

Number of hot dogs sold = 65

Since number of soda sold equals:

= x + 51

= 65 + 51

= 116

Therefore, number of soda sold is 116.

This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128

Answers

Answer:

rule multiply of 4

Step-by-step explanation:

beacause 4×1=4

4×2=8

4×4=16

4×8=32

4×16=64

4×32=128

that's all I know

The following ordered pairs model a linear function rule.
(-2,-9), (-1,-7), (0,-5), (1,-3), (2,-1)
Which ordered pair can be added to the given set and still have the set represent the same linear function?


a. (1,3)

b. (-3,-11)

c. (3,11)

d. (4,0)

Answers

The answer is c (3,11)

Answer:

c (3,11)

Step-by-step explanation:

A metal block is delivered to a construction site. The block is in the shape of a rectangular prism.

what is the approximate length of the highlighted diagonal

A. 8.9 Feet
B. 11.6 feet
C. 12.3 feet
D 13.2 feet

Answers

Answer:

C.

Step-by-step explanation:

Answer: c 12.3

Step-by-step explanation:

Suppose you have a bag of colored plastic disks and you choose one without looking. The probability the disk you choose is is ​P(​) . Write this probability as a decimal. Use a word or phrase to describe this probability.

Answers

Question:

Suppose you have a bag of colored plastic disks, and you choose one without looking. The probability the disk you choose is yellow is P(yellow)=5/25.

Write this probability as a decimal.

Use a word or phase to describe this probability

Answer:

[tex]P(yellow)=0.2[/tex]

Unlikely event

Step-by-step explanation:

Given

[tex]P(yellow)=\frac{5}{25}[/tex]

Solving (a): Express as decimal

[tex]P(yellow)=\frac{5}{25}[/tex]

As decimal, we have:

[tex]P(yellow)=0.2[/tex]

Solving (b): Description

Since the probability is closer to 0 than 1, we can say that the probability of picking a yellow is unlikely

What are the measurements of each angle?

Answers

Answer:

2. 70

3. 70

4. 110

5. 110

6.70

7. 70

8. 110

Step-by-step explanation:

a straight line = 180 so 1+2 has to = 180 1+3 has to = 180 2+4 has to = 180 and so on

Jack and Jill each opened accounts that earn 5% interest compounded annually. Jack deposited $2500 and Jill deposited $3000. No additional money was deposited or withdrawn. At the end of 6 years, what will be the combined balance of these two accounts? (Round to the nearest cent)

Answers

Answer:

3,850

Step-by-step explanation:

have a good day!!

Find the values of the measures shown when each value in the data set increases by 25. Mean: 109 Median: 104 Mode: 96 Range: 45 Standard deviation: 3.6

Answers

Answer:

The new values are as follows:

Mean: 134

Median: 129

Mode: 121

Range=45

Standard Deviation=3.6

Step-by-step explanation:

When a k real number is added to all the elements of the dataset, the new measures of center (mean, median, and mode) are simply found by adding the value k to the previous values. Thus

[tex]Mean_{new}=Mean_{old}+k[/tex]

Here [tex]Mean_{old}[/tex] is 109 and k is 25 thus

[tex]Mean_{new}=Mean_{old}+k\\Mean_{new}=109+25\\Mean_{new}=134[/tex]

Similarly

[tex]Median_{new}=Median_{old}+k[/tex]

Here [tex]Median_{old}[/tex] is 104 and k is 25 thus

[tex]Median_{new}=Median_{old}+k\\Median_{new}=104+25\\Median_{new}=129[/tex]

Also

[tex]Mode_{new}=Mode_{old}+k[/tex]

Here [tex]Mode_{old}[/tex] is 96 and k is 25 thus

[tex]Mode_{new}=Mode_{old}+k\\Mode_{new}=96+25\\Mode_{new}=121[/tex]

When a k real number is added to all the elements of the dataset, the new measures of variation (range and standard deviation) remain the same thus.

[tex]Range_{new}=Range_{old}\\Range_{new}=45[/tex]

Similarly

[tex]Standard\ Deviation_{new}=Standard\ Deviation_{old}\\Standard\ Deviation_{new}=3.6[/tex]

So the new values of mean, median, mode, range, and standard deviation are 134, 129, 121, 45, and 3.6 respectively.

Use your understandinh of rational functiosn to answer the followinh wuestions about the relationship of concert profit

Answers

Question:

Use your understanding of rational functions to answer the following question about the relationship of concert profit P(x)=-25x^2+875x-4750 to concert operating expenses c(x)=4750-125x.

Write an algebraic rule for the function T(x), which gives the ratio of profit to operating expenses, that is, the number of dollars earned for every dollar spent by the concert promoters.

Answer:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Step-by-step explanation:

Given

[tex]P(x)=-25x^2+875x-4750[/tex] --- concert profit

[tex]c(x)=4750-125x.[/tex] --- concert operating exercise

Solving (a): An expression for T(x)

T(x) is the ratio of P(x) to c(x)

So:

[tex]T(x) = \frac{P(x)}{c(x)}[/tex]

[tex]T(x) = \frac{-25x^2+875x-4750}{4750-125x}[/tex]

Factorize

[tex]T(x) = \frac{-25(x^2-35x+190)}{-25(-190+5x)}[/tex]

[tex]T(x) = \frac{x^2-35x+190}{-190+5x}[/tex]

Rewrite as:

[tex]T(x) = \frac{x^2-35x+190}{5x-190}[/tex]

Which answer describes the type
of sequence?
3, 4, 7, 11, ....

neither arithmetic nor geometric
geometric
arithmetic

Answers

arithmetic is the answer

Answer:

it's arithmetic.

Step-by-step explanation:

geometric sequence is when each term moves on by dividing or multiplying.

arithmetic sequence is basically addition and etc.

7. Mahmoud runs to a marker and back in 15 minutes. His speed on
the way to the marker is 5 m/s and his speed on the way back is
4 m/s. Find the distance to the marker.​

Answers

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters

Which is larger? Convert to a decimal using long division. please show your work!!

Answers

Answer:

1.255

Step-by-step explanation:

10^-1 equals 0.1

1÷8=0.125

so our greatest one is 1.255

last one i hope (no pictures).

Answers

Answer:

9

Step-by-step explanation:

RST = 90

90 - (22 + 41) = 27.

3x = 27

27/3 = 9

x = 9

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