Given AD = BC and AD parallel BC Prove ABCD is a parallelogram proof

Answers

Answer 1

Answer: the ABC is up illogic of the Paul Graham that makes the box square root to DC=BA

Step-by-step explanation:

Answer 2

Statements                                                                 Reasons

1. AD ≅ BC; AD ∥ BC                                              1. given

2. ∠CAD and ∠ACB are alternate interior ∠s          2. definition of alternate                                                                                    interior angles

3. ∠CAD ≅ ∠ACB                                                    3. alternate interior                                                                                          angles are congruent

4. AC ≅ AC                                                              4. reflexive property

5. △CAD ≅ △ACB                                                  5. SAS congruency                                                                                                   theorem

6. AB ≅ CD                                                            6. Corresponding Parts                                                                                   of Congruent triangles are                                                                               Congruent (CPCTC)

7. ABCD is a parallelogram                                  7. parallelogram side                                                                                         theorem


Related Questions

Solve |2x - 1| + 3 = 6.

Answers

Answer:

x =2                         x = -1

Step-by-step explanation:

|2x - 1| + 3 = 6.

Subtract 3 from each side

|2x - 1| + 3-3 = 6-3

|2x - 1|= 3

An absolute value has two solutions, one positive and one negative

2x-1 =3                   2x -1 = -3

Add 1 to all sides

2x-1+1 =3+1             2x-1+1 = -3+1

2x = 4                      2x =-2

Divide by 2

2x/2 = 4/2                 2x/2 = -2/2

x =2                         x = -1

Steps to solve:

|2x - 1| + 3 = 6

~Subtract 3 to both sides

|2x - 1| = 3

~Since we are working with an absolute value, one answer will be positive and one will be negative.

2x - 1 = 3

~Add 1 to both sides

2x = 4

~Divide 2 to both sides

x = 2

2x - 1 = -3

~Add 1 to both sides

2x = -2

~Divide 2 to both sides

x = -1

Best of Luck!

You work at a coffee shop and they pay you $12.80 an hour. If you work 34
works this week, what is your straight-time pay?

A. $435.20
B. $438.80
C. $442.20
D. $444.60
E. $446.40
F. $448.20

Answers

Answer:

answer is A $435.20

Step-by-step explanation:

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Point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and
RT = 3x + 1, determine the numerical length of RT.

Answers

Answer: 49

Step-by-step explanation:

The numerical length of RT is 49 units if point S is on the line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

Point S is on line segment RT.  

ST = 2x – 10,

RS = 2x - 5, and

RT = 3x + 1,

RT = RS + ST

3x + 1 = 2x - 5 + 2x - 10

The above equation is representing a linear equation in one variable.

After simplifying:

3x + 1 = 4x - 15

4x - 3x = 15 + 1

x = 16

RT = 3x + 1

Plug x = -14

RT = 3(16) + 1

RT = 48 + 1

RT = 49

The numerical value of RT = 49

Thus, the numerical length of RT is 49 units if point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.

Learn more about the linear equation here:

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James has 1,836 marbles. He decides to divide them equally among 23 boxes. How many marbles will James have left over?

Answers

answer:

he has less marbles

Step-by-step explanation:

cuz he does

Answer:

79.83

I rounded to the nearest hundredth

A cylindrical container has a height of 24 inches. Currently, the container is filled with water to a height of 18 inches. A leaky faucet drips into the container, causing the height of the water in the container to increase by 2 inches per hour. The equation below can be used to find t, the number of hours it would take to fill the container.
18 + ?t = 24
What number should be the coefficient of t?
2
3
18
24

Answers

Given:
height of cylindrical container = 24 inches
height of water in container = 18 inches
leaky faucet increases water by 2 inches per hour.

18 + ?t = 24

The coefficient of t is 2.

18 + 2t = 24
2t = 24 - 18
2t = 6
2t/2 = 6/2
t = 3

It would take 3 hours to fill the container.

18 + 2t = 24
18 + 2(3) = 24
18 + 6 = 24
24 = 24

Hope this helps!!
, CookyKpopStan

Answer:

a) 2

Step-by-step explanation:

got it right on edge 2021 || pls mark brainliest

please help me quick ill give brainliest

Answers

Answer:

23/99

Step-by-step explanation:

nearly any number /9 or /99 or /999 etc is a repeating decimal.

Answer:

23/99

Step-by-step explanation:

9/8=1.125

23/99≈0.232

9/20=0.45

3/40=0.075

hope this helps

which of the numbers doesnot belong in the number series

1 – 2 – 5 – 10 – 13 – 26 – 29 – 48

is it

a. 1
b. 5
c.26
D.27
E. 48


Answers

Answer:

the sequence first numbe * 2, +3, *2

so 48 doesnot belong it should be 58

Step-by-step explanation:

Express the first number as a percentage of the second number. 29 pounds of recyclable trash in a barrel of 53 pounds of trash. The 29 pounds of recyclable trash is what % of the barrel of 53 pounds of trash.

Answers

Divide first number by second number:

29 /53 = 0.54716981

Multiply by 100 to get percent:

0.54716981 x 100 = 54.716981%

Round the answer as needed.

Predict how many times Max will choose a rectangular cracker if he carries out this process 200 times

Answers

Answer:

70 times.

Step-by-step explanation:

The following data were obtained from the question:

SHAPE >>>>>>>>>>>>> FREQUENCY

Oval >>>>>>>>>>>>>>> 18

Rectangle >>>>>>>>>> 14

Star >>>>>>>>>>>>>>> 8

TOTAL >>>>>>>>>>>>> 40

next, we shall determine the probability of chosing a rectangular cracker. This is illustrated below:

Event of Rectangle (nR) = 14

Sample space (S) = 40

Probability of chosing rectangle, P(R) =?

P(R) = nR/nS

P(R) = 14/40

P(R) = 7/20

Therefore, the probability of chosing a rectangular cracker is 7/20.

Thus, if the process were carried out 200 times, the probability of chosing a rectangular cracker will be:

= P(R) × 200

P(R) = 7/20

= 7/20 × 200

= 70

Therefore, max will chose a rectangular cracker 70 times.

If Carlos had saved $9.00 from his allowance to spent at jo jo’s arcade , how many games could he play first 3 games for then aft 75 cents a game

Answers

Answer:

15 games

Step-by-step explanation:

9 divided by 0.75 = 12

12 + 3 free games = 15

What is the value of the expression below after it has been simplified completely? (2)(3)-(6)(4) A. –24 B. –18 C. 18 D. 24

Answers

Answer:

B

Step-by-step explanation:

2x3=6 and 6x4=24 so 6-24= -18

Answer:

B

Step-by-step explanation:

-18

Mark and robyn used base-ten blocks to show that 200 is 100 times as much as 2. Whose model makes sense whose model is nonsense? Example your reasoning

Answers

Answer:

Robyn model makes more sense and Mark's is nonsense

Step-by-step explanation:

In this question ,calculations not required .All we have to do is consider each model logically .

Marks

Marks model shows 20 rather than 2 which means 200 is 10 times as much as 20. It does not make any sense.

Robyn

Robyn model shows 2 which means 200 is 100 times as much as 2 and this is not only correct but also makes sense because 100 *2=200

Find f (7) when f (x) = -5x + 2.

Answers

Step-by-step explanation:

f(x) = -5x + 2

f(7) = (-5)(7) + 2

= -35 + 2

= -33

Answer:

f (x) = -5x + 2.

= -5*7+2

= -13

Step-by-step explanation:

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how would you factor a quadratic expression like 9x^2-4

Answers

Hello, we need to see it as a difference of two squares as we know that for all a and b real numbers

[tex]a^2-b^2=(a-b)(a+b)[/tex]

So, here

[tex]9x^2-4=(3x)^2-2^2=(3x-2)(3x+2)[/tex]

Voila !

Thank you

Write 18/27 in simplest form

Answers

Answer:

Step-by-step explanation:

2/3

HELP
Simplify.
5 + (-5
-5 + 1)
1-2 - 31

Answers

Answer:

answer is

Step-by-step explanation:

-37

have a good day

i need points

please show work 3[x+4]+4x= -2

Answers

Answer:

  x = -2

Step-by-step explanation:

First, you eliminate parentheses using the distributive property.

  3(x +4) +4x = -2

  3x +12 +4x = -2

Then you collect terms.

  7x +12 = -2

You can subtract 12 (from both sides).

  7x = -14

Finally, divide by the coefficient of the variable.

 x = -14/7 = -2

The solution is x = -2.

____

Comment on the work

When you add, subtract, multiply, divide, or perform any other operation on one side of the equation, you must do the same thing on the other side. That is how the equal sign stays valid. That is why we subtracted 12 from both sides of the equation. It is also why we divided both sides of the equation by 7.

Those steps, subtract 12, divide by 7, are chosen for the purpose of getting the x-term by itself, then getting by itself. In general, when there's an added term you don't want, add its opposite to both sides of the equation. When there's a factor you don't want, divide both sides of the equation by that.

Help me please not good at math

Answers

Answer: I think option A

Step-by-step explanation:

1/4 of the total bird population in your town is 200 birds. How many birds are there in your town?

Answers

Answer:

800

Step-by-step explanation:

) One weekend, there were 98 pizzas ordered for the sophomore dorm. That weekend 19 customers ordered their pizza with just pepperoni, 16 customers ordered their pizza with just sausage, 20 ordered theirs with just onions, 15 ordered theirs with pepperoni and sausage, 9 ordered theirs with sausage and onions, 17 ordered theirs with pepperoni and onions, and 2 ordered theirs with all three items. How many customers ordered their pizza with pepperoni or sausage (or both)

Answers

Answer:

19+16+15=50 pizzas

Step-by-step explanation:

The unit for density is a derived unit. True or False

Answers

Answer:

true

Step-by-step explanation:

Answer:

TRUE is the answer.

The unit for density is a derived unit.

The graph of y = |x-1|+7 is reflected across the y-axis and then translated up 1 unit. What is an equation of the transformed graph?

Answers

The original equation: y = |x - 1| + 7

The new equation: y = |-x - 1| + 8

please solve this question..​

Answers

Answer:

vertex = (- 1, - 4.5 )

Step-by-step explanation:

Given

f(x) = [tex]\frac{1}{2}[/tex] (x - 2)(x + 4)

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To find the zeros let f(x) = 0, that is

[tex]\frac{1}{2}[/tex] (x - 2)(x + 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x + 4 = 0 ⇒ x = - 4

The x- coordinate of the vertex is therefore

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

Substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = [tex]\frac{1}{2}[/tex] (- 1 - 2)(- 1 + 4) = [tex]\frac{1}{2}[/tex] × - 3 × 3 = 0.5 × - 9 = - 4.5

Coordinates of vertex = (- 1, - 4.5 )

manuel works at cheese cake king. He earns $15 per hour as a busboy. the waiters he helps give him 25% of their tips.
a) if manuel worked 6 hours today, how much did he earn, without tips?
b) the waiters mauel assited waited on 16 tabels, and the total bill from all the these tabels was $1,188. the waitress earned 15% in tips, and 25% of these earnings to manuel. How much money did manuel make in tips?
c)what was manuel's total salary for the day?
d) what was manuel's average ernings per hour, including tips? round to the nearest cent

Answers

Answer:

a. 90

b. 44.55

C. 134.55

D. 22.42

Step-by-step explanation:

A. 6*15 = 90

B. 15 % of 1188 is 178.2, and 178.2 divided by 4 (0.25%) is 44.55

C 90 + 44.55 = 134.55

d. 134.55 divided by 6 hours worked is 22.42

a. The earning should be 90.

b. The money that should be made is 44.55.

c. The total salary for the day is 134.55

d. The Manuel average earnings per hour, including tips is 22.42

Calculation of the earning, money, total salry, and average earnings per hour:

a.

The earnings should be

= 6(15)

= 90

b. The money made should be

The 15% of 1188 should be 178.2

Now we have to divide the 178.3 from 4 so it comes 44.55.

c. The total salary should be

= 90 + 44.55

= 134.55

d. The average earnings per hour should be

Here  134.55 divided by 6 hours = 22.42

Learn more about earnings here: https://brainly.com/question/24512296

13 + 3y= 37 solve for y

Answers

Answer:

y = 8

Step-by-step explanation:

Step 1: Write out equation

13 + 3y = 37

Step 2: Subtract 13 on both sides

3y = 24

Step 3: Divide both sides by 3

y = 8

Answer:

y=8

Step-by-step explanation:

37-13 = 24

3y=24

3/24=8

y=8

Write the equation of the line in point-slope form that passes through the given point with the given slope (1,5); m = -3

Answers

Answer:

y - 5 = -3(x-1)

Step-by-step explanation:

We have the slope and a point

Point slope form is

y-y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line

y - 5 = -3(x-1)

Combine like terms
3x + 2x + 11y - 7y
Help

Answers

Answer:

5x + 4y

Step-by-step explanation:

3x + 2x = 5x

11y - 7y = 4y

The like terms just means whatever numbers have the same “letters.” So everything with an X you combine and everything with a Y you combine

3x + 2x + 11y - 7y
You could look at it like
(3x + 2x) + (11y - 7y)
5x + 4y

a company's budget increase from 29 million to 133 million over a period of 10 years. growing by the same percent each year. What was the annual percent increase? Express your answer as a common fraction

Answers

I think it’s 1217 but I’m not sure

x is less than nine ​

Answers

Answer:

x < 9

Step-by-step explanation:

x is less than nine

x < 9

Answer:

x<9

Step-by-step explanation:

less than symbol is this <

The question is x is less than 9

so

x<9

Hope this helps!

Find the missing number in the sequence
100, 93, 84, 73 45​

Answers

Answer:

60

Step-by-step explanation:

Form on number to the other there is a difference,and the difference are all odd numbers

From 100 to 93 is 7

From 98 to 84 is 9

From 84 to 73 is 11

From 73 to 45 is 28 this shows that there is a number missing

So from 73 to x should be 13

And from x to 45 should be 15

So 73 -13=60

And 60-15=45

So x is 60

The missing number in the sequence is 60

Given the sequence 100, 93, 84, 73, ... 45​

To get the next term, we need to get the common differences as shown:

7, 9, 11,... 15

We can see that the common difference forms an AP, hence the missing term in the resulting sequence is 13

To get the missing value, we will subtract 13 from 73.

Missing number  = 73 - 13

Missing number = 60

Hence the missing number in the sequence is 60

Learn more on sequence here: https://brainly.com/question/24989563

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