In the figure, AB is divided into equal parts. The coordinates of point A are (2, 4), and the coordinates of point B are (10, 6). Match each pair of coordinates to the corresponding point on AB.
Answers
Diving the length AB into equal parts gives;
[tex]D→\left (4 \:,4.5\right) [/tex]
[tex]E→\left (5 \:,4.75\right) [/tex]
[tex]H→\left (8 \:,5.5\right) [/tex]
[tex]I →\left (9 \:,5.75\right) [/tex]
How can the coordinates of the points be found?The number of equal parts obtained by counting are 8
Coordinates of point A is (2, 4)
Coordinates of point B is (10, 6)
Therefore;
Coordinates of point C is
[tex]\mathbf{ \left (2 + \frac{10 - 2}{8},\: 4 + \frac{6 - 4}{8}\right) }= \left (3 \:, 4.25\right) [/tex]
Coordinates of point D are;
[tex]\mathbf{\left (2 + \frac{10 - 2}{4} \: , 4 + \frac{6 - 4}{4}\right) }= \left (4 \:,4.5\right) [/tex]
Coordinates of point E are;
[tex]\mathbf{\left (2 + \frac{8 \times 3}{8} \: , 4 + \frac{2 \times 3}{8}\right)} = \left (5 \:,4.75\right) [/tex]
Coordinates of point F are;
[tex] \mathbf{\left (2 + \frac{8 \times 4}{8} \: , 4 + \frac{2 \times 4}{8}\right)} = \left (6 \:,5\right) [/tex]
Coordinates of point H are;
[tex]\mathbf{\left (2 + \frac{8 \times 6}{8} \: , 4 + \frac{2 \times 6}{8}\right)} = \left (8 \:,5.5\right) [/tex]
Coordinates of point I are;
[tex]\mathbf{\left (2 + \frac{8 \times 7}{8} \: , 4 + \frac{2 \times 7}{8}\right)} = \left (9 \:,5.75\right) [/tex]
Which gives;
[tex]D→\left (4 \:,4.5\right) [/tex]
[tex]E→\left (5 \:,4.75\right) [/tex]
[tex]H→\left (8 \:,5.5\right) [/tex]
[tex]I →\left (9 \:,5.75\right) [/tex]
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Related Questions
I don't understand how it gets the result [tex]28b_{2}[/tex] and [tex]b_{2}^{2}[/tex] in the fourth equation.
Answers
Answer + Step-by-step explanation:
your question is about equation 4 :
[tex]b_{1}=14-b_{2}[/tex]
Then
[tex]\left( b_{1}\right)^{2} =\left( 14-b_{2}\right)^{2} \ \text{(this is a special product )}[/tex]
Then
[tex]\left( b_{1}\right)^{2} =14^{2}-2\times 14 \times b_{2}+ (b_2)^2[/tex]
Then
[tex]\left( b_{1}\right)^{2} =196-28 b_{2}+ (b_2)^2[/tex]
quadratic formula 2x^2-9x-35=0
Answers
Hello,
2x² - 9x - 35 = 0
a = 2 ; b = -9 ; c = -35
∆ = b² - 4ac = (-9)² - 4 × 2 × (-35) = 361 > 0
x1 = (-b - √∆)/2a = (9 - 19)/4 = -10/4 = -5/2
x2 = (-b + √∆)/2a = (9 + 19)/4 = 28/4 = 7
S = {-5/2 ; 7}
Answer:
So x = -5/2, 7.
Step-by-step explanation:
2x^2 - 9x - 35 = 0
Let's see if we can factor this.
We need 2 numbers whose product is 2* -35 ( that is -70) and whose sum is -9.
They are -14 and 5, so we write:
2x^2 - 14x + 5x - 35 = 0
Now we factor by grouping:
2x(x - 7) + 5(x - 7) = 0
(2x + 5)(x - 7) = 0
So x = -5/2, 7.
Two lengths of a triangle are shown.
Triangle A B C. Side A B has a length of 6 feet and side A C has a length of 6 feet.
Which could be the length of Side B C?
Answers
The answer choice which could be the length of side BC is; BC < 12.
Which answer choice could be the length of side BC?It follows from the task content that the possible length of the side BC is to be determined.
Since, the sides given AB and BC both have length sum equal to 12. It follows from the triangle inequalities that the length of the third side must be less than the sum of lengths of the other two sides.
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What are two angles next to each other called?
Answers
Two angles which are next to each other is referred to as adjacent angle in this case.
What is an Adjacent angle?These are angles which have a common vertex and side and do not overlap with one another.
This angle lie next to each other when plotted hence the reason why they share a common vertex.
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Show that √5×√20 is an integer?
Answers
Answer:
See below.
Step-by-step explanation:
1) Simplify √20 to 2√5.
√5 × 2√5
2) Simplify.
2√5×5
3) Simplify 5 × 5 to 25.
2√25
4) Since 5 × 5 = 25, the square root of 25 is 5.
2 × 5
5) Simplify.
10
When evaluated, this expression equals a positive whole number, therefore showing it is a integer.
The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of marketing. in how many ways can these two positions be filled
Answers
The number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is 240 ways. Computed using permutations.
The permutation is the way of choosing a set of objects from a larger set of objects in a specific sequence.
If we are choosing r number of objects, from n number of objects in a specific sequence, then we follow permutation, and it is given as:
nPr = n!{(n - r)!}.
In the question, we are asked to find the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members.
Since the position is to be chosen in a specific order, we will follow permutation.
The number of positions to be chosen (r) = 2.
The number of members (n) = 16.
Thus, the number of ways is given as:
nPr = n!{(n - r)!},
or, 16P2 = 16!{(16 - 2)!},
or, 16P2 = 16!/14! = 15*16 = 240.
Thus, the number of ways in which the position of one person in charge of research and one person in charge of marketing can be chosen from the board of 16 members is 240 ways. Computed using permutations.
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A company finds that its sales since the company started in 2000 can be modelled by the function s(t)=(20t^2+800t+300)/(8t^2+10t+100) where s is the total sales, in millions of dollars, and t is the number of years since 2000. a) calculate the years when the sales are 9 million, algebraically.
Answers
Solving the quadratic function, the sales are of 9 million in the years of 2000 and 2012.
What is a quadratic function?A quadratic function is given according to the following rule:
[tex]y = ax^2 + bx + c[/tex]
The solutions are:
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a}[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a}[/tex]
In which:
[tex]\Delta = b^2 - 4ac[/tex]
The number of sales(in millions of dollars), in t years after 2000, is modeled by the following function:
[tex]S(t) = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}[/tex]
The sales are of 9 million when S(t) = 9, hence:
[tex]S(t) = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}[/tex]
[tex]9 = \frac{20t^2 + 800t + 300}{8t^2 + 10t + 100}[/tex]
[tex]72t^2 + 90t + 900 = 20t^2 + 800t + 300[/tex]
[tex]52t^2 - 710t + 600 = 0[/tex]
Which is a quadratic equation with coefficients a = 52, b = -710, c = 600, hence:
[tex]\Delta = (-710)^2 - 4(52)(600) = 379300[/tex]
[tex]x_1 = \frac{710 + \sqrt{379300}}{104} = 12.7[/tex]
[tex]x_2 = \frac{710 - \sqrt{379300}}{104} = 0.91[/tex]
t is measured in years after 2000, the sales are of 9 million in the years of 2000 and 2012.
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Everyday Math
583. Coin production In 1942 , the U.S. Mint produced 154,500,000 nickels. Write 154,500,000$in scientific notation.
Answers
Answer:
In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as [tex]$1.545 \times 10^{8}$[/tex].
Step-by-step explanation:
In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.It is required to write 154,500,000 in scientific notation.To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.Step 1 of 2
Obtain the scientific notation.
Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .
Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,
1.54500000
The count of the number of decimal places the point was moved is 8 .
Write as a product with a positive power of 10 .
[tex]$1.545 \times 10^{8}$[/tex]
Step 2 of 2
Check the answer.
Rewrite and simplify to check our answer.
[tex]$$\begin{gathered}1.545 \times 10^{8}=1.545 \times 100000000 \\=154500000\end{gathered}$$[/tex]
Car A and car B are 60 miles apart. If they start driving towards each other with car A going at twice the speed of car B, how far away will they be from car B's original starting point when they pass each other
Answers
The distance between car B's original point and the point where car A and car B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.
We assume the speed of car B to be x miles/hour.
Given car A going at twice the speed of car B, the speed of car A = 2x miles/hour.
When moving toward each other, the relative speed of the cars is the sum of their speeds.
Therefore, the relative speed = x + 2x miles/hour = 3x miles/hour.
The total distance between the cars is given as 60 miles.
Therefore, the time taken by car A and car B to reach the same point = 60/3x hours = 20/x hours.
Therefore, the distance from car B's original point and the point where car A and car B pass each other = Speed of car B*Time = x*(20/x) miles = 20 miles.
Therefore, the distance between car B's original point and the point where car A and car B pass each other is 20 miles, given the speed of car A is twice the speed of car B, and they are 60 miles apart initially.
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The expression x-y equals 0.7 if x and y have certain values. Evaluate the following expression with the same values of x and y
1/x-y
Answers
Answer:
1/0.7
Step-by-step explanation:
The expression x-y equals to 0.7 so we have to substitute 0.7 in the place of x-y....
----> 1/0.7
Dividing would make this equal to a long division answer (1.42857142857) so let's just leave it as a fraction!
I hope this helps! :)
Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length of T R is 36, the length of Q U is 40, and the length of U S is 45.
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true?
Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
Line segment TU is not parallel to line segment RS because StartFraction 32 Over 36 EndFraction not-equals StartFraction 40 Over 45 EndFraction.
Line segment TU is parallel to line segment RS because StartFraction 32 Over 45 EndFraction = StartFraction 40 Over 36 EndFraction.
Line segment TU is not parallel to line segment RS because StartFraction 32 Over 45 EndFraction not-equals StartFraction 40 Over 36 EndFraction.
Answers
The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
What is the line segment about?The law of the side- splitter connote that when f the line is parallel to a side of the triangle and if that said line do intersects the other 2 sides, tt is said to divides those given sides proportionally.
So the converse means that when the sides are proportional so therefore, the side TU is said to be parallel to the side RS.
Thus;
[tex]\frac{QT}{TR}[/tex] = [tex]\frac{32}{36} = \frac{8}{9}\\\\ \\[/tex]
[tex]\\\frac{QU}{US} =\frac{40}{45} = \frac{8}{9}\\[/tex]
Therefore, the ratios are equal and as such TU is parallel to RS
Hence, The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.
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Answer: OPTION A
Step-by-step explanation:
A group of people are having a dinner that costs $160, which is to be shared equally. If two more persons join the group and share the same cost, each will pay $4 less. Find the original number of people in the group.
Answers
Answer:
8 people in the original group.
Step-by-step explanation:
Let x be the number of people who were originally present for the dinner that cost $160. Their average cost per person would be:
$160/x
If 2 more people join, there are x+2 people. Ignoring the awkward situation that they apparently did not order any additional food, they agree to share the cost of the dinner. The average cost is now:
$160/(x+2)
We are told that this new average is now $4 less per person.
$160/(x+2) = ($160/x) - $4
$160 = (($160/x) - $4)(x+2)
x = 8 people
Write a proof
given: angle 1 and angle 3 are supplementary
prove: m is parallel to n
Answers
Answer:
angle 2 is equal to angle 1 ... vertically opposite angles equal
therefore angle 2 and angle 3 are supplementary...co-interior angles supplementary
therefore m is parallel to n
Write the following using index notation:
a) 4×4
b) 5x5x5x5
c) 3 × 7 × 7 × 7 × 7
d) 2× 9 × 9 × 9×2×9
Answers
b. 5^4
c. 3 x 7^4
d. 2^2 x 9^4
Step-by-step explanation:
4^2
5^4
3^1×7^4
2^2 ×9^4
5x+1< 4x-4
Can you help solve for x in this equation
Answers
Answer:
X will be less than -5 :)
Step-by-step explanation:
We first need to put like terms together so lets do that now :)
5x + 1 < 4x - 4
5x < 4x - 5
x < -5
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
x < -5
Step-by-step explanation:
The goal of this problem is for the x to be in the form of x < or > {Number}.
So let's isolate x!
5x + 1 < 4x - 4
Let's remove the x and its factor from the right side by subtraction.
5x + 1 < 4x - 4
-4x -4x
______________
1x + 1 < -4
Now X is on one side, however, whenever a coefficient is 1, it can be excluded from the formula.
x + 1 < -4
So let's subtract 1 from the left, so x is isolated.
x + 1 < -4
-1 -1
_______
x < -5
There we go!
We can check the direction of the inequality sign by putting in a number that fulfills the inequality.
For example, if X has to be less than -5, we can use -6.
5(-6) + 1 < 4(-6) -4
-30 + 1 < -24 - 4
-29 < -28
This is true, so the problem is complete!
Which fraction is equivalent to StartFraction 2 Over 6 EndFraction? StartFraction 3 Over 7 EndFraction, because StartFraction 2 Over 6 EndFraction = StartFraction 2 + 1 Over 6 + 1 EndFraction = StartFraction 3 Over 7 EndFraction StartFraction 3 Over 9 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 9 EndFraction StartFraction 3 Over 12 EndFraction, because StartFraction 2 Over 6 EndFraction = one-third and One-third = StartFraction 3 Over 12 EndFraction StartFraction 3 Over 8 EndFraction, because StartFraction 2 Over 6 EndFraction = one-half = StartFraction 2 + 1 Over 6 + 2 EndFraction = StartFraction 3 Over 8 EndFraction
Answers
A fraction is a way to describe a part of a whole. The correct option is B.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
The fraction that is equivalent to 2/6 is,
3/9, because 2/6 = 1/3, and 1/3= 3/9. Therefore, 2/6 = 3/9
Hence, the correct option is B.
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Can you help me with these two because I don't understand
Answers
Answer: 1: 34 units 2: 24.5
Step-by-step explanation:
For figure 1, just split the area into squares and triangles and find the area of each. If you split figure 1 into 1 square and 3 triangles you get...
4x4= 16
(4x3)/2= 6
(4x4)/2= 8
(4x2)/2= 3
16+6+8+3 = 34
You do the same for figure 2, but use 4 triangles and 1 tiny square
1x1= 1
(4x3)/2= 6
(3x3)/2= 4.5
(4x4)/2= 8
(5x5)/2= 5
1+6+4.5+8+5= 24.5
You shouldn't need to worry about negative numbers because you are looking at the area
whats 2 1/2 divided by 5/2?
Answers
Answer:
the answer to this question is 1.
Answer:
2 1/2 divided by 5/2 = 1
Step-by-step explanation:
Heather, Eric, and Chang sent a total of 116 text messages over their cell phones during the weekend. Chang sent 3 times as many messages as Eric. Eric sent 9 more messages than Heather. How many messages did they each send?
Answers
Answer:
Step-by-step explanation:
Declaration
Let Heather's number of messages = x
Let Eric's number of messages = x + 9
Let Chang's number of messages = 3(x +9)
Equation
x + x + 9 + 3(x + 9) = 116
Solution
x + x + 9 + 3(x + 9) = 116 Remove the brackets
x + x + 9 + 3x + 27 = 116 Combine like terms
x + x + 3x + 9 + 27 = 116
5x + 36 = 116 Subtract 36 from both sides
5x + 36 - 36 = 116 - 36 Combine
5x = 80 Divide both sides by 5
5x/5 = 80/5
x = 16
Answer
Heather = 16
Eric = 16 + 9 = 25
Chang = 3*25 = 75
What is the missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x?
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
Answers
The missing step in solving the inequality is x > -9
Solving inequalitiesFrom the question, we are to determine the missing step in solving the given inequality
1. The distributive property: 4x – 12 + 4 < 10 + 6x
2. Combine like terms: 4x – 8 < 10 + 6x
3. The addition property of inequality: 4x < 18 + 6x
4. The subtraction property of inequality: –2x < 18
5. The division property of inequality: ________
Applying the division property of inequality
-2x/-2 < 18/-2
x > -9
Hence, the missing step in solving the inequality is x > -9
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Dana is buying Grandparents' Day gifts at the mall. She spends $13.75 on a teacup for her grandmother. She spends 4/5 of that on a coffee mug for her grandfather. How much money does Dana spend in all?
Answers
The total money Dana spent in all is $24.75
Ratio and proportionsRatio are written as fractions of two integers. For instance a/b.
Amount spent for grandmother = $13.75
Amount spent on grand father = 4/5 * 13.75
Amount spent on grand father = $11
Take the sum
Total money spent = $13.75 + $11
Total money spent = $24.75
Hence the total money Dana spent in all is $24.75
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Pleasepleaseplease help
Answers
Answer:
y = -15x + 50
Step-by-step explanation:
the pattern in the x side is +1 and the pattern on the y side is -15 so it is 15/1 which = m in y = mx + b
then you multiple -15 times whatever x and add 50 to get y like
y = -15 x 2 + 50 = 20
TRY IT Identifying Matrix Attributes
What is the size of matrix A? ✓ 3 x 5
COMPLETE
How many elements are in the matrix? ✔ 15
COMPLETE
How many rows are in the matrix? 3
COMPLETE
Where is the largest element in the matrix located?
Oa12
x a34
a21
0 12 7 22 197
A = 540 090
33 5 0 52 0
Answers
The location of the largest element in the matrix is a₂₁, which is 54. The location of the largest element in the matrix is a₂₁, which is 54.
What is the matrix?Matrix is defined as the group of numerical data, functions, and complex numbers in a specific way such that the representation array looks like a square, rectangle shape.
The following details about the matrix can be written,
The size of matrix A is 3x5.The number of elements in the given matrix is 15.There are 3 rows in the matrix.The location of the largest element in the matrix is a₂₁, which is 54.
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A quantity with an initial value of 130 decays exponentially at a rate such that the
quantity cuts in half every 9 weeks. What is the value of the quantity after 21 days
Answers
A quantity with an initial value of 130 decays exponentially at a rate such that the quantity cuts in half every 9 weeks. 103.18 is the value of the quantity after 21 days.
What is exponential decay?A process known as exponential decay is when a quantity diminishes over time at a pace that reduces proportionately as the amount shrinks.
The term "exponential decay" refers to a population's or group's rate of decline when it is proportionate to the size of the population. The overall value falls in exponential decay, yet the percentage that departs stays constant over time.
Let, y = 130. aˣ
here, x = number of days
Given that,
A quantity with an initial value of 130 decays exponentially.
the quantity cuts in half every 9 weeks
the value of the quantity after 21 days = ?
So, 130 × [tex]a^{(7\times9) }[/tex] = 130 × (1/2)
or, a⁶³ = 1/2
or, a [tex](1/2)^{(1/63)}[/tex]
Thus, y = 130 × [tex](1/2)^{(x/63)}[/tex]
when x = 21
thus, y = 130 ×[tex](1/2)^{(21/63)}[/tex]
y = 130 × [tex](1/2)^{(1/3)}[/tex]
y ≈ 103.18
Hence, 103.18 is the value of the quantity after 21 days.
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please help ill appreciate it best answer gets the brainliest answer.
Answers
Answer:
Graph #1
Step-by-step explanation:
In this distance v time graph, a negative slope means moving toward Mr. Wilson, a positive slope means moving away from Mr. Wilson, and a flat section means staying at a particular location without moving.
Find Lm=
Help me please thanks
Answers
A triangle is a three-edged polygon with three vertices. The length of LM is 3√3 cms.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
The triangle formed by MN, MO, and NO is an equilateral triangle, with the length of each side of the triangle equal to the radius of the triangle. Therefore, the length of MN will be,
MN = r
Now, the length of arc MN can be written as,
2 × π × r × (60° /360°) = π
r = 360 / (60 × 2)
r = 3 cms
Further, the radius of the circle can be written as,
LO = ON = OM = MN = Radius = 3 cms
Since, the triangle formed in a semicircle is a right-angle triangle, therefore, using the Pythagorean theorem we can write,
LM² + MN² = LN²
LM² + MN² = (LO + ON)²
LM² + r² = (r+r)²
LM² + r² = 4r²
LM² = 3r²
LM² = 3(3²)
LM = √27 cms
LM = 3√3 cms
Hence, the length of LM is 3√3 cms.
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1. Use the graph to predict the number of CDs the students at your high school bought in 2008.
Answers
The number of CDs the students at your high school bought in 2008 is 100
How to predict the number of CDs?The graph of the question is added as an attachment
From the graph, we have the following highlights:
The graph reaches a maximum of 200 in 2004Then it decreases by 25 each year2008 is 4 years from 2004.
So, the prediction is;
Year 2008 = 200 - 4 * 25
Evaluate
Year 2008 = 100
Hence, the number of CDs the students at your high school bought in 2008 is 100
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Eliza drew scale drawing of her bedroom. The drawing shows a room that is 4“ x 3“. The scale she used is 1 inch: 4 inch. What is the area of her actual bedroom?
Answers
Area of Eliza's bedroom = 192 sq. inch
What is Scaling ?Scaling is a method used in measurement when large data has to be shown in a small area.
It is given that
The drawing shows a room that is 4“ x 3“
The scale used is 1 inch: 4 inch
So the actual dimensions will be 16'' x 12"
The area of a rectangle is Length * Breadth
Area of her bedroom = 16 * 12
Area of her bedroom = 192 sq. inch
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can so.eone explain to me by what bisecting intervals are?
Answers
When you bisect something, you cut it into two equally sized pieces. (from Latin: "bi" = two, "sect" = cut)
Bisecting an interval creates two smaller intervals each with half the length of the original interval. Some examples:
• bisecting [0, 2] gives the intervals [0, 1] and [1, 2]
• bisecting [-1, 1] gives the intervals [-1, 0] and [0, 1]
• bisecting an arbitrary interval [tex][a,b][/tex] gives the intervals [tex]\left[a,\frac{a+b}2\right][/tex] and [tex]\left[\frac{a+b}2,b\right][/tex]
Given: AB = DC, AC = DB
Prove: AABC= ADCB
Look at the proof. Name the postulate you would use to prove the two triangles are congruent.
Given: AB DC, AC = DB
Prove: AABC= ADCB
AB= DC
Given
AC DB
Given
BC BC
Reflexive Property
of Congruence
AABC ADCB
?
B
D
C
Answers
Answer:
SSS Postulate
Step-by-step explanation:
AB=CD (Given)
AC=BD (Given)
BC=BC (Given)
So SSS Postulate
Side Side Side postulate
Both triangles are congruent by ''SSS Postulates.''
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
AB = DC, AC = DB
And, To prove that, ΔABC ≅ ΔDCB
Since, We have;
AB = DC,
AC = DB
And, BC = BC (common sides)
Hence, Both triangles are congruent by ''SSS Postulates.''
Learn more about the triangle visit;
brainly.com/question/1058720
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