Answer please
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal.

A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:

Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.

Which statement best describes a flaw in the student's proof?

Question 11 options:

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.


Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.


Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.


Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

Answer Please The Figure Below Shows A Quadrilateral ABCD. Sides AB And DC Are Congruent And Parallel:A

Answers

Answer 1

Answer:

B. Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.

Step-by-step explanation:

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.

Incorrect, since mentioned angles form a pair of alternate interior angles.

Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.

Correct, since AB = CD, BD = DB, ∠ABD ≅ ∠CDB

Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.

Incorrect, since not enough evidence for AAS

Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

Incorrect, since DBC and BDA are not corresponding according to definition of corresponding angles

Related Questions

Is it harder when its in words instead of written problems

Answers

Answer: It depends, some are easier as words, and some are easier as written problems.

-Hope it helps!

a basketball game that costs 35 was put on sale at a 15 discount what was the sale price of the basketball

Answers

Answer: before the sale, the basketball game was $50.00 .

Step-by-step explanation: you do $35.00 + 15% and you would get $50

Eight cards bearings the letters T, H, I, R, T, E, E, N are placed in a box. 3 cards are drawn out at
random without replacement. Calculate the probability that (i)the three cards bear the letter
T,E,N in that order(ii) in any order.

Answers

Answer:

probablity of getting T =1/8

probablity of getting E =1/8

probablity of getting N =1/8

Step-by-step explanation:

hope it helpz u

plzz plzz plzzz mark as brainliest

i need help with question 13

Answers

Answer:

(1,9)

Step-by-step explanation:

a rotation of 180 causes the plotted point to be opposite of itself

need the answer noww pls

Answers

Three pounds of apple cost $4.50

In a pass of 30 students 13 are boys

Answers

Answer:

Ratio of boys to all students:

13:30

Ratio of girls to all students:

17:30

Ratio of boys to girls:

13:17

Step-by-step explanation:

I think you're asking for the ratio... so I hope this helps! :D

A rectangular prism is made up of 320 unit cubes. The prism is 8 unit cubes wide.
Which could be the other dimensions of the rectangular prism? Choose all the possible dimensions.
A. 4 unit cubes long
10 unit cubes high
B. 5 unit cubes long
8 unit cubes high
C. 8 unit cubes long
5 unit cubes high
D. 8 unit cubes long
8 unit cubes high
E. 10 unit cubes long
4 unit cubes high
F. 20 unit cubes long
2 unit cubes high
G. 20 unit cubes long
20 unit cubes high
H. 25 unit cubes long
15 unit cubes high

Answers

Answer:

A, B, C, E, F.

Step-by-step explanation:

320 / 8 = 40

So the length times the  height of the prism  will be 40.

So the possible dimensions are

A ( 4 * 10).

B.

C.

E.

F

The option (A), (B), (C), (E), and (F) are correct because the multiplication of the length and height is 40.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

We have volume of rectangular prism = 320 cubic unit

Width of the rectangular prism = 8 unit

320 = l×w×h

320 = 8l×h

l×h = 40

So the multiplication of the length and height should be 40

A. 4 unit cubes long and 10 unit cubes high:

l×h = 4×10 = 40

B. 5 unit cubes long and 8 unit cubes high:

l×h = 5×8 = 40

C. 8 unit cubes long and 5 unit cubes high:

l×h = 8×5 = 40

D. 8 unit cubes long and 8 unit cubes high:

l×h = 8×8 = 64

E. 10 unit cubes long and 4 unit cubes high:

l×h = 10×4 = 40

F. 20 unit cubes long and 2 unit cubes high:

l×h = 20×2 = 40

G. 20 unit cubes long and 20 unit cubes high:

l×h = 20×20 = 400

H. 25 unit cubes long and 15 unit cubes high:

l×h = 25×15 = 375

Thus, the option (A), (B), (C), (E), and (F) are correct because the multiplication of the length and height is 40.

Learn more about the rectangular prism here:

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Round 128,902 to the nearest thousand

Answers

Answer:

128, 902 to the nearest thousand is 129,000

Step-by-step explanation:

Just a cheerful teen willing to help,

wishing you a splendiferous day,

stay salty...

The answer is 129,000

.✍️(◔◡◔) hope this helps<3

Helpppppppppppppppppppppp-ASAP I’ll give you 20 points

Answers

Answer:

x≥5

Step-by-step explanation:

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

5≤−5+2x

Step 1: Simplify both sides of the inequality.

5≤2x−5

Step 2: Flip the equation.

2x−5≥5

Step 3: Add 5 to both sides.

2x−5+5≥5+5

2x≥10

Step 4: Divide both sides by 2.

2x/2 ≥ 10/2

x≥5

Answer:

x≥5

Resolver 3 -2x=12 -6x

Answers

Answer:

x = 9/4

Step-by-step explanation:

Solve for x.  Start by adding 6x to both sides, which results in 3 + 4x = 12.

Combine the constants, obtaining 4x = 9.

Dividing both sides by 4, we get x = 9/4.

Answer:

x=

mixed number form: 2 1/4

decimal form: 2.25

exact form: 9/4

you are helping your mom cook christmas dinner. you can peel 2 potatoes per minute. you need 60 potatoes to feed the entire group. How long will it take you to finish if you have already peeled 18 potatoes?

Answers

Answer:  21 mins to peel the balanced potatoes

Step-by-step explanation:

a person ordering a certain model of car can choose any of 9 colors, either manual or automatic transmission, and any of 9 audio systems. How many ways are there to order this model of car?

Answers

Answer
243 ways
Step by step
Just take 9 times 3 times 9!

What chance is there of rolling a total of 9
with two dice?

Answers

Answer: 9 4/36 (11.111%)

Step-by-step explanation:

What is the surface area of a cylinder with radius of 4 and height of 12

Answers

Answer:

It's around 402.12

A=2πrh+2πr2=2·π·4·12+2·π·42≈402.12386


Please help it’s due tonight

Answers

Step-by-step explanation:

The shapes are flipped 180 degrees therefore they are equal.

Can I have brainly if I helped you

What is the scale factor n of the dilation?

Answers

Answer:

Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs

Step-by-step explanation:

this is the correct answer happy

(2x^2-4xy+2y)(3x-4)

help solve! please show steps.

Answers

9514 1404 393

Answer:

  S

Step-by-step explanation:

The distributive property is used for this purpose. I find it easier to distribute the shorter factor.

  [tex](2x^2-4xy+2y^2)(3x-4)\\\\=(3x)(2x^2-4xy+2y^2)-(4)(2x^2-4xy+2y^2)\\\\=6x^3-12x^2y+6xy^2-8x^2+16xy-8y^2\quad\text{matches choice S)}[/tex]

Andre and Diego were each trying to solve 2x+6=3x−8 . Complete the statement that describes the first step they each made in solving the equation.

Choices:
-x
-2x
-3x

Answers

The first step was the combine the like terms; in this example he is subtracting the 3x on both sides of the =.

If you were to solve the equation it would look like this:

2x+6=3x-8

-3x -3x

-x+6=-8

-6 -6

-x=-14

/-1 /-1

x=14

Answer:

2x

Step-by-step explanation:

Diego subtracted 2x from the left side which gave him 6 and subtracted 2x from the right side of the equation to get x-8

what is the answer too
5=6(q-5)-19

Answers

Answer:

Distribute the 6 to the terms inside the parentheses.

5=6q-30-19

Combine like terms.

5=6q-49

Add 49 to both sides.

54=6q

Divide both sides by 6.

q=9

:)

PLEASE HELPPPP‼️‼️‼️ILL MARK Brainlyist PLEASE!!!
Point K is a centroid of the triangle JGI. If KL = 28 cm, what is JL?

A. 42cm
B. 14 cm
C. 84cm
D. 18.7cm

Answers

Answer:

84cm

Step-by-step explanation:

I had it on my test

What is the probability of picking a number divisible by 4 between (and including) the numbers 12-20?

Answers

Answer:

5/9 or 55.5%

Step-by-step explanation:

there are 5 numbers divisible by 4, 12-20 inclusive:  4, 8, 12, 16, 20

there are 9 numbers from 12-20, inclusive

answer would be 5/9

A 7-kg bag of apples for $10

Answers

Answer:

finish the question

Step-by-step explanation:

Select the algebraic definition for the piecewise function graph.

Answers

Answer:

I don't the answer man sorry

I have to find out what 56 divided by 1/17 is

Answers

Answer:

it's 952 :)

Step-by-step explanation:

I hope this was helpful!

God loves u ! Byeee

Describe the domain and range. Graph the function. What do I do with the -3? The graph shows that y and x are at 0 so...?

Answers

Answers:

Domain: all real numbers

Range: [tex]y \le 6[/tex]

Graph is below.

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

Explanation:

This is a piecewise function that is composed of two parts:

The first piece being y = x+6 but only when [tex]x \le 0[/tex]The second piece occurs when x > 0 and that piece is y = -3x

This piecewise function has split identities or multiple aliases so to speak. It all depends on what the x input is.

The graph is shown below.

The domain is the set of all real numbers since any x value will lead to some y output. Even x = 0 itself is allowed. Note the arrows indicate the graph stretches on forever to the left and to the right.

The range on the other hand isn't all real numbers. Instead, it's [tex]y \le 6[/tex] indicating that y = 6 is the largest y can get. Simply locate the highest point on the graph (similar to the concept of the vertex) and you'll spot the highest y value.

Side notes:

The domain in interval notation is [tex](-\infty, \infty)[/tex] which encompasses the entire real number line.The range in interval notation is [tex](-\infty, 6][/tex] where the square bracket includes the endpoint 6.

the ranch house serves a 24 oz sirloin steak that has a total of 1,800 calories. how many calories per ounce does the steak have

Answers

The amount of calories per ounce does the steak have is 75 calories per ounce.

Using this formula

Calories per ounce=Total calories/Number of oz sirloin steak

Where:

Total calories=1,800 calories

Number of oz sirloin steak=24 oz

Let plug in the formula

Calories per ounce=1800/24 oz

Calories per ounce=75 calories per ounce

Inconclusion the amount of calories per ounce does the steak have is 75 calories per ounce.

Learn more here:https://brainly.com/question/9175829

Match each system of equations to its point of intersection.

y = 2x + 1

y = x + 3


y = x + 3

y = -3x - 2


y = -x - 7

y = x + 3


y = -x - 7

y = 2x + 1


y = 2x + 1

y= -3x - 2

Answers

Answer:

1. (2,5)

2. (-1.25, 1.75)

3. (-5,-2)

4.(-2.66, -4.33)

5. (-0.6, -0.2)

Step-by-step explanation:

Solve by substituting the y's and solve for x. Plug in x into one of the equations and find the y value for your point of intersection

Answer:

Ur reatarded

Step-by-step explanation:

(-2x4+6x2-15+3x3)+(-x2+x+2)

Answers

I think it would be 2.4

Eliminate the parameter, t, in the parametric equations, x = 3cos(t) and y = -6sin(t).

A) 2 x2 + y2 = 36
B) x2 + y2 = 2
C) 4 x2 + y2 = 36
D) x2 + y2 = 36

Answers

Recall that

cos²(t) + sin²(t) = 1

Then solving for cos(t) and sin(t), we have

x = 3 cos(t)   ===>   cos(t) = x/3

y = -6 sin(t)   ===>   sin(t) = -y/6

so that the above identity gives us

(x/3)² + (-y/6)² = 1

x²/9 + y²/36 = 1

36 (x²/9 + y²/36) = 36

(C) 4x² + y² = 36

The parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).

What are parametric equations?

A parametric equation in mathematics specifies a set of numbers as functions of one or more independent variables known as parameters.

We have two parametric equations:

x = 3cos(t) and

y = -6sin(t).

As we know, the trigonometric identity:

sin²θ + cos²θ = 1

For checking the option (A):
2x² + y² = 36

= 2(3cos(t))² + (-6sin(t))²

= 18cos²t + 36sin²t ≠ 36

Similarly, for checking the option:

4x² + y² = 36

= 4(3cost)² + (-6sint)²

= 36cos²t + 36sin²t

= 36(cos²t + sin²t)

= 36(1) = 36

Thus, the parametric equation in the Cartesian form is 4x² + y² = 36 the correct choice is (C).

Learn more about the parametric function here:

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A function is represented by the values in the table.

Choose from the drop-down menu to complete the statement.

The function represented in the table Choose____linear.
Is or is not


PLEASE HELP ILL MARK BRAINLIEST!!!!!! Quick!!!!

Answers

Answer:

Is linear ;)

Step-by-step explanation:

The Answer Is {Linear}

If you divide all the numbers on the y-intercept it will equal to the numbers on the x-intercept.

Not only that, I Took The Test.

6.08 Quiz: Identify Linear Models

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