50 points and brainliest to first correct answer! :)
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.
Answers
Answer/Step-by-step explanation:
"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." True
"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." True
Now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent..
This means that:
Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.
Answer: Triangles ABD and CDB are congruent by the SAS postulate.
Related Questions
Can somebody help????
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Answer:
125/64
Step-by-step explanation:
I hope this helps
PLEASE HELP QUICK!! ALGEBRA 2
state if the given binomial is a factor of the given polynomial. show all work needed to determine this.
1) (12r³-18r²-90r-49) / (4r+6)
and
2) (70x³-31x²+83x-24) / (10x-3)
what do i do when there's a number before the x/r in the binomial??? help
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Answer:
1) 3x^2 - 9x - 9 + (5 / (4x + 6))
2) 7x^2 - x + 8
solve pls brainliest
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Plug in x and y into the equation and solve for k
k = -11
Ashanti went to the store with $30 and spent 75% of the money what fraction of the money did she spent
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Answer: They spent 3/4 of the money.
Step-by-step explanation:
Help me please how would you do this this is confusing
Answers
Answer:
10/15-3/15 = 7/15
I WILL GIVE BRIAN LIST!!!!!! Look at triangle ABC. Coordinate grid shows negative 5 to positive 5 on the x axis and y axis at intervals of 1. A triangle ABC is shown with A at ordered pair 4, 5, B at ordered pair 2, 2, and C at ordered pair 4, 2. What is the length of side AB of the triangle? (1 point) Group of answer choices 3 Square root of 13 5 Square root of 6
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Answer: square root is 20
y^2 − 20x − 6y − 51 = 0
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answer:
Simplifying Y2 + -20X + -6y + -51 = 0
Reorder the terms: -51 + -20X + Y2 + -6y = 0
Solving -51 + -20X + Y2 + -6y = 0
Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
Add '51' to each side of the equation. -51 + -20X + Y2 + 51 + -6y = 0 + 51
Reorder the terms: -51 + 51 + -20X + Y2 + -6y = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -20X + Y2 + -6y = 0 + 51 -20X + Y2 + -6y = 0 + 51
Combine like terms: 0 + 51 = 51 -20X + Y2 + -6y = 51
Add '-1Y2' to each side of the equation. -20X + Y2 + -1Y2 + -6y = 51 + -1Y2
Combine like terms: Y2 + -1Y2 = 0 -20X + 0 + -6y = 51 + -1Y2 -20X + -6y = 51 + -1Y2 Add '6y' to each side of the equation. -20X + -6y + 6y = 51 + -1Y2 + 6y Combine like terms: -6y + 6y = 0 -20X + 0 = 51 + -1Y2 + 6y -20X = 51 + -1Y2 + 6y Divide each side by '-20'. X = -2.55 + 0.05Y2 + -0.3y Simplifying X = -2.55 + 0.05Y2 + -0.3y
Is it AB C D I will will mark as brainly
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After a hike, a group of students equally share 5 boxes of granola bars. Each box has 8 granola bars. Which algebraic expression represents this situation?
A. (5 × 8) ÷ s
B. 5 × (8 ÷ s)
C. s × (5 + 8)
D. (s + 5) × 8
please rn i need my grade up thank you
Answers
Answer:
Its A
Step-by-step explanation:
Its basically saying that there are 40 granola bars split up by s which are the students.
Answer:
A.(5×8)÷s is the correct answer.
Step-by-step explanation:
5 group boxes of granola bars equally share each box has 8 pieces of granola bars.So u will find the no.of student which s as the substitute no. of student.
Prove that a triangle having sides 13 cm 24 cm and 13 cm has the equal area to another triangle having sides 29 cm 25 cm and 6 cm.
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Answer:
29cm is cool
Step-by-step explanation:
if a^x=b^y and a^y=b^x, show that x=y.
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[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
Using first equation we get,
[tex] {a}^{x} = {b}^{y} [/tex][tex]a = \sqrt[x]{ {b}^{y} } [/tex]
[tex]a = {b}^{ \frac{y}{x} } [/tex]now, plug the value of a in other equation ~
[tex]a {}^{y} = b {}^{x} [/tex][tex]( {b}^{ \frac{y}{x} } ) {}^{y} = {b}^{x} [/tex][tex]{(b) }^{ \frac{y}{x} \times y} = {b}^{x} [/tex][tex] {(b)}^{ \frac{ {y}^{2} }{x} } = {b}^{x} [/tex][tex] \dfrac{ {y}^{2} }{x} = x[/tex][tex] {y}^{2} = {x}^{} \times x[/tex][tex] {y}^{2} = {x}^{2} [/tex][tex]y = x[/tex]I hope it helps ~
Find the values of x and y. State which theorem you used
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So since you haven't given us the actaul equation Im gonna guess that x equals to -7, and lets just say the x equals to uhhhhhh, i dont know how about 42? That sound about right? What im trying to say is next time can you please give out the equation? If you respond I could probably help you next time.
Hiram practices soccer and baseball. Each day he practices soccer for 3 hours. After 5 days, he practiced both soccer and baseball for a total of 30 hours. Assuming that he practiced baseball the same amount of time each day, how many hour per day did Hiram practice baseball? *
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What's the radius of a cone with the height of 12 in and a volume of 16 pi in^3
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Answer:
radius of cone is 2 inches
Step-by-step explanation:
3. What is the equation of the line through the points (3, 2), (8,5), (13, 8) and (18, 11)?
y=5/3x-1/3
y=3/5x+1/5
y=5/3x+1/3
y=3/5x-1/5
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Answer:
y=3/5+1/5
is the right answer
find the slope of (-7,-13) and (1,-5)
Answers
Answer:
20+ -4=
-16
Step-by-step explanation:
learn the number no sign break apart add divide add the last to numbers
*urgent* Need Determine whether this quadrilateral must be a parallelogram
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Isn't that a parallelogram?
9(3x - 2) - 15x = 10 - 417 - 3x)
Is it one solution/ many solution/ no solution?
Answers
one solution: x= -389/15
Answer:
I think this is the answer there are two i believe
Step-by-step explanation:
x =(15-√345)/6=5/2-1/6√ 345 = -0.596
or
x =(15+√345)/6=5/2+1/6√ 345 = 5.596
What’s the root of this function?
Answers
Answer:
-2, 3
Step-by-step explanation:
I think you have it correct, it's always when x=o
Answer:
x = - 2 and x = 3
Step-by-step explanation:
The roots are the points where the graph crosses the x- axis
On the x- axis the y- coordinates of any point is zero
From the table
When y = 0 , then x = - 2 and x = 3 ← roots
someone pls help>>>>>>>>>>>>>>>
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Step-by-step explanation:
Hope it's help, study well goodluck!
CONSIDER THE EQUATION
WHAT IS THE VALUE OF X THAT MAKE THIS EQUATION TRUE
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Answer:
The answer is x=1.
Step-by-step explanation:
Keegan and Annie are working on an experiment in the science lab Their mixture contains ingredients that weight 5.22 grams 5.7 grams and 7.43 grams Keegan calculates the combined weight to be 18.22 grams and Annie calculated it to be 13.22 grams
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Explanation:It’s correct I used Socratic you should really download it. -1/12 is the answer .
Explanation: It would be 65.56 grams I just took my quiz hope it helps have a great day.
please help What is the equation of the line in slope-intercept form?
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Answer:
Y = 4/3 x + 5
Step-by-step explanation:
What is the distance between points (6,-9) and (-3,4)
Answers
Answer:
18
Step-by-step explanation:
Distance between points (6, -9) and (-3, 4) is 15.81 units.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
Two points are (6, -9) and (-3, 4).
We know that;
Distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, Distance between two points (6, -9) and (-3, 4) is,
⇒ d = √ (- 3 - 6)² + (4 - (-9))²
= √ (-9)² + 13²
= √ 81 + 169
= √250
= 15.81
Learn more about the coordinate visit:
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Kaitlin makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below shows her pay (in dollars) versus the number of hours worked.
Use the graph to answer the questions.
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increases by 30 per hour worked
1/2 is the slope
Answer:
love u too :)
Step-by-step explanation:
what is 4e - 3f + 6f - 3e I am really confused and I don't know the answer
Answers
4e - 3f + 6f - 3e
4e - 3e
1e = e
-3f + 6f
+3f
answer = e + 3f
5.
Which of the following is the graph of the equation y = −2x^2 − 3x + 4?
Answers
The negative two in front of the x^2 means the graph will open downwards, eliminating the option that opens upward. The +4 at the end of the equations means the graph will cross the y axis at y=4 (it has a y intercept of 4). Only 1 graph opens downward and has a y intercept of 4.
Does this graph show a function? Explain how you know.
graph passes the vertical line test.
O.B. No; there are y-values that have more than one x-value.
than one x-value
D Yes, there are no y-values that have more
C A. Yes the
• C No, the graph fails the vertical line test.
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Answer:
No, the graph fails the vertical line test.Step-by-step explanation:
If the graph is a circle, then it fails the vertical line test. It means the graph doesn't represent a function.
Correct choice is the last one
Sanji scored 125 points in the first round of a video game and 263 points in the second round. His total score after the third round was 557 points.
How many more points did Sanji score in the third round of the video game than in the first round?
Answers
Sanji scored 44 points more in third round as compared to the first round.
What is an Equation?An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.
Sanji score in the first round of video game is 125 points
Sanji score in the second round of video game is 263 points
Let Sanji's score in the third round of video game is x points
Total score is 557 points
The equation is
125+ 263+ x = 557
388 + x = 557
x = 169 points
As compared to the first round Sanji scored = 169 -125 = 44 points more
To know more about Equation
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please help I've been on this for a while now
Answers
Answer:
option (A)
Step-by-step explanation:
the domain of the original -> the range of the inverse
the range of the original -> the domain of the inverse
