We are aware that x2(a+b)x+ab=0 is one such equation if a and b are the roots of a quadratic equation.
How can you tell whether or not an equation is quadratic?In other words, if a times the square of the phrase after b plus b times the same expression not squared plus c equals 0, then you have an equation with the quadratic form. The original equation will change to a quadratic equation if the value in the () is replaced with a variable like t.
What are the four approaches for locating a quadratic equation's roots?Factoring, using square roots, completing the square, and the quadratic formula are the four ways to solve a quadratic problem.
To learn more about quadratic equation here:
https://brainly.com/question/17177510
#SPJ4
How do you find the distance between two places?.
The distance between two places cab be found using distance formula if you know the coordinates of the places.
The distance formula is a mathematical equation that can be used to find the distance between two points in a two-dimensional or three-dimensional space. The formula is as follows:
Distance = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
Where x₁, y₁, and z₁ are the coordinates of the first point and x₂, y₂, and z₂ are the coordinates of the second point. The formula is based on the Pythagorean theorem, which states that the square of the distance between two points is equal to the sum of the squares of the differences in their coordinates.
For example, if you have the coordinates of two places on a map, you can use the distance formula to calculate the distance between them. Let's say the coordinates of place A are (x₁, y₁) = (4, 5) and the coordinates of place B are (x₂, y₂) = (9, 12). The distance between place A and place B would be:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
= √((9 - 4)² + (12 - 5)²)
= √(5² + 7²)
= √(25 + 49)
= √(74)
= 8.6
To know more on distance formula
brainly.com/question/28956738
#SPJ4
Your grandma has a bowl!
I with 20 candies in it. The
ratio of sour candy to
sweet candy is 13. How
many sweet candies are i
there? How many sour
candies are there?
Answer:
5
Step-by-step explanation:
I assume the ratio is 1:3.
We need a total of 20 candies, and we need the number of sweet candy to be 3 times the number of sour candy.
Start guessing the number of sour candy with 1. Then find the number of sweet candy. Then find the sum. Keep going up with the guess until it works.
Sour Sweet Sum Comment
1 3 4 too low
2 6 8 too low
3 9 12 too low
4 12 16 too low
5 15 20 exactly right
Answer: 5
lena is sharing 36 muffins equally with some friends. She uses division to determine how many people can have a share if each person gets a particular number of muffins. For example, 36÷9=4
means that if each person gets 9 muffins, 4 people can have muffins. Here are some other calculations:
36÷9=4
36÷3=12
36÷1=36
36÷13=?
1. Elena thinks the “?
” represents a number greater than 36. Do you agree?
Agree
Agree
Disagree
Answer: Disagree.
Step-by-step explanation:
Dividend = 36
Divisor = 13
36 (Dividend) ÷ 13 (Divisor) = 2 (Quotient)
Remainder = 10
Rules of division indicate,
Quotient < Dividend
Here too, 2 < 36
Thus, the answer to 36÷13 does NOT represent a number greater than 36.
PLEASE HELP!!!
(05.05 MC)
Complete the frequency table.
What percentage of students age 15 and above travel to school by bus? Round to the nearest whole percent.
A.
36%
B.
26%
C.
45%
D.
50%
Answer:
b
Step-by-step explanation:
PLSSS HELP IF TURLY KNOW THISSS
To solve the expression 9 - 12 + 6/-3 + 3(-3) first do the operation of division, i.e. option B: 6/-3.
What is an expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
The given expression is - 9 - 12 + 6/-3 + 3(-3)
Follow the BODMAS rule to solve the expression.
BODMAS = Bracket Of Division Multiplication Addition and Subtraction
The first step is to solve the bracket -
= 9 - 12 + 6/-3 + 3(-3)
= 9 - 12 + 6/-3 - 9
The next step is to solve the division -
= 9 - 12 + 6/-3 - 9
= 9 - 12 -2 - 9
The next step is to solve the addition and subtraction -
= 9 - 12 - 2 - 9
= 9 - 23
= -14
Therefore, the value of the expression is obtained as -14.
To learn more about expression from the given link
https://brainly.com/question/24734894
#SPJ1
If the spinner is spun twice, find the probability that it lands on an odd number, then a shaded number.
The probability that the spinner lands on an odd number and then a shaded number is given as follows:
5/12.
How to obtain the probability?A probability is obtained as the division of the number of desired outcomes by the number of total outcomes.
The probabilities of each event in this problem is given as follows:
Odd number: 6/12 = 1/2.Shaded number: 10/12 = 5/6.Hence the probability that the spinner lands on an odd number and then a shaded number is calculated as follows:
p = 1/2 x 5/6 = 5/12.
More can be learned about probabilities at https://brainly.com/question/24756209
#SPJ1
Jesse has a board that is 4 meters long. He cuts the board into pieces that are 0.8 meters long. Into how many pieces did Jesse cut the board
Answer:5 pieces
Step-by-step explanation:
4/0.8=5
EXPERT NEEDED I NEED THIS DONE ASAP RIGHT NOW!!!
10 POINTS!!!
Answer: It would look like this, and your equation is y = 0.5x + 0 or just y = 0.5x, you are supposed to connect the dots, as it is a linear equation with a continuous run
Step-by-step explanation:
I hope this helps!
Drag each tile to the correct box.
Simplify the mathematical expressions and arrange them in order of their values from least to greatest.
(4. 27x108):(9. 2x10-5)
(6. 96X105). (8. 43x10-2)
(7. 25 X 105). (9. 36 x 10-7)
(7. 95 x 10-2). (4. 13 X 10-3)
(8. 32 X 104). (9. 67 X 101)
(7. 56 x 1011). (5. 79 x 10-8)
(1. 89 x 104). (5. 92 x 103)
(2. 74 x 10-2). (4. 67 x 102
The mathematical expressions in order of their values from least to greatest will be
(8.32 x 10⁴)/(7.56 x 10¹¹) · (9.67 x 10¹)/(5.79 x 10⁻⁸)
(7.25 x 10⁵)/(7.95 x 10⁻²) · (9.36 x 10⁻⁷)/(4.13 x 10⁻³)
(4.27 x 10⁸)·(9.2 x 10⁻⁵)
(6.96 x 10⁵)·(8.43x 10⁻²)
(1.89 x 10⁴)/(2.74 x 10⁻²) · (5.92 x 10³)/(4.67 x 10²)
The following mathematical expressions are written in their scientific notation, a way of expressing numbers that are too large or too small to be conveniently written in decimal form. In scientific notation, a number is represented as a coefficient (a number between 1 and 10) multiplied by a power of 10.
To multiply scientific notation/expressions, you need to:
1. Multiply the numerical coefficients.
2. Add the exponents of the bases (usually "10").
The opposite goes to division, where the numerical coefficients are divided and the exponents are subtracted.
(4.27 x 10⁸)·(9.2 x 10⁻⁵)
39.284 x 10³
3.9284 x 10⁴
(6.96 x 10⁵)·(8.43x 10⁻²)
58.6728 x 10³
5.86728 x 10⁴
(7.25 x 10⁵)/(7.95 x 10⁻²) · (9.36 x 10⁻⁷)/(4.13 x 10⁻³)
(9.12 x 10⁶) · (2.27 x 10⁻⁴)
2.061 x 10³
(8.32 x 10⁴)/(7.56 x 10¹¹) · (9.67 x 10¹)/(5.79 x 10⁻⁸)
(1.10 x 10⁻⁷) · (1.67 x 10⁹)
1.84 x 10²
(1.89 x 10⁴)/(2.74 x 10⁻²) · (5.92 x 10³)/(4.67 x 10²)
(6.90 x 10⁵) · (1.27 x 10¹)
8.86 x 10⁶
Rearranging these values from least to greatest, we have
1.84 x 10², 2.061 x 10³, 3.9284 x 10⁴, 5.86728 x 10⁴, 8.86 x 10⁶
Learn more about scientific notations here: https://brainly.com/question/1767229
#SPJ4
Mr sparks is an electrician. He has a 50-m roll of cable, correct to the nearest meter. He uses 10m on each job, to the nearest meter
Answer:
the requisite answer for this question is 10 meter.
Step-by-step explanation:
the analysis for this question's answer is as follows:
since, he has a 50 meter long role of cable, correct to the nearest meter,with him and also he uses 10 meter of that role each time during his job to the nearest meter.
therefore, if he does four jobs then the maximum amount of cable that could be left with him would be;
he took (40-m) to finish the entire work,
this simplifies, 50-(10×4) which is equal to 50-40 which in turn is equal to 10
hence, the solution to the afore-mentioned problem is 10 meters.
to explore more such problems, see
https://brainly.com/subject/mathematics
What does a basic log graph look like?.
A basic log graph is a line graph that plots logarithmic data points plotted on a logarithmic scale.
The x-axis of the graph is the logarithmic scale, and the y-axis is the data points.
The points are plotted in a straight line, making it easy to see how the data points change as the logarithmic scale increases or decreases.
On the exponential f, identify several locations (x). The graph will look better the more points we plot.
A two-dimensional graph of numerical data using logarithmic scales on both the horizontal and vertical axes is known as a log-log graph or log-log plot.
In order to obtain points on the inverse, swap the x and y variables. Discover the asymptote. The ensuing logarithmic functions should be plotted. the domain and the range.
To know more about the Log graph visit:
https://brainly.com/question/2759838
#SPJ4
The data show the number of free throws attempted by a
team in its first ten games.
{2,11,11,11,12,12,13,14,14,15}
The median is 12 attempts and the mean is 11.5
attempts.
After reviewing the data, it is determined that 2 should not
be included, since that was an exhibition game rather
than a regular game during the season.
What is the new mean if '2 attempts' is removed from the
data set?
*****
****
Submit
The new mean of the data-set, with the observation 2 removed, is given as follows:
12.67 attempts.
How to obtain the mean of a data-set?The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.
Removing the observation 2, the data-set is given as follows:
11, 11, 11, 12, 13, 13, 14, 14, 15.
The sum of all these observations is given as follows:
3 x 11 + 12 + 2 x 13 + 2 x 14 + 15 = 114.
There are nine observations, hence the mean of these observations is given as follows:
114/9 = 12.67.
More can be learned about the mean of a data-set at brainly.com/question/1156334
#SPJ1
Square E has sides of length e cm.
Square F has sides of length f cm.
The area of square E is 44% greater than the area of square F.
Work out the ratio e:f
The ratio of e:f from 2 different squares are 1.2:1.
From the case, we have 2 squares that:
Square E side = e
Square F side = f
Area of E = (1 + 44%) Area of F
Using the area of square formula, we know that:
Area of square = side x side
Area of square = side²
Area of E = e x e
Area of E = e²
Area of F = f x f
Area of F = f²
We will compare the area of both squares:
Area of E = (1 + 44%)Area of F
e² = (1 + 44%) f²
e² = 1.44 f²
√e² = √(1.44 f²)
e = 1.2 f
Hence the ratio of e : f would be:
e : f = 1.2f : f
e : f = 1.2 : 1
Learn more about Area of Square here: brainly.com/question/1658516
#SPJ1
Are there more mutations in fish populations that live in waters that contain industrial waste than those that live in clean water? Decide if this is census or sample. Justify your answer.
A)Sample. It's pretty easy to capture every fish.
B)Sample. There are too many to count.
C)Census. It's pretty easy to capture every fish.
D)Census. There are too many to count.
Answer:
B) Sample. There are too many to count.
Step-by-step explanation:
You can only check a portion of all the fish. It would take too much work and manpower to check every single fish.
Is 5 an acute angle?.
Answer:
Yes, an acute angle is an angle that measures less than 90 degrees.
Step-by-step explanation:
Want to learn more about acute angles click here:https://brainly.com/question/1575304?referrer=searchResultsIt takes a train going 50 mph approximately _____ to stop safely.
A. 100 ft B. 1/2 miles C. 1 1/2 miles D. 5 miles
It takes a train going 50 mph approximately 11/2 miles to stop safely.
The distance a train takes to come to a stop can be determined by several factors, including the speed of the train, the weight of the train, the condition of the brakes and the track, and the reaction time of the engineer.
In general, a train going 50 mph will take about 1 1/2 miles or 8,000 feet to stop safely. This is because a train moving at 50 mph is traveling at about 75 feet per second, and it takes a significant distance to slow down a heavy object moving at such a high speed. It's important to note that this is an estimation, and the actual stopping distance may vary depending on the specific conditions.
To know more about Speed:
https://brainly.com/question/28224010
#SPJ4
You want to buy a house for 300,000 and pay 20% down. How much is your down payment? Calculate the principal for the home loan after the down payment. The bank tells you the total interest for the loan will be $232200 over 30 years. Calculate the total amount owed to the bank including principal and interest. Calculate the monthly payment for a 30 year mortgage. Calculate the total monthly cost including another 300 per month for taxes and 150 per month for insurance.
Principal, P = $ 300,000
Rate, R = 20%
Time, T = 30 years
The down payment would be 300,000 x 20% = $60,000.
The principal for the home loan after the down payment would be 300,000 - 60,000 = $240,000.
The total amount owed to the bank including principal and interest would be 240,000 + 232200 = $462200.
To calculate the monthly payment for a 30 year mortgage, you would use the formula:
(principal + interest) / (number of months in 30 years)
which would be ($462200) / (360 months) = $1283.33
To calculate the total monthly cost including another 300 per month for taxes and 150 per month for insurance, you would add the mortgage payment to the additional costs:
1283.33 + 300 + 150 = $1733.33.
Learn more about Principal Calculations on
https://brainly.com/question/12204314
#SPJ1
Rewrite the quadratic function below in Standard Form -7(x+3)(x+2)
Answer:
-7[tex]x^{2}[/tex] - 35x - 42
Step-by-step explanation:
-7(x+3)(x+2)
(-7x - 21) ( x + 2)
-7[tex]x^{2}[/tex] - 14x - 21x - 42
-7[tex]x^{2}[/tex] - 35x - 42
Answer:
y=-7 - 35x - 42Step-by-step explanation:
y=-7(x+3)(x+2)
y=(-7x - 21) ( x + 2)
y=-7 - 14x - 21x - 42
y=-7 - 35x - 42
What is the sum law of limits?.
The sum law of limits is the total of their limits equals the limit of the sum of functions. It is also referred to as the addition rule of limits and is known as the sum rule of limitations.
A limit in mathematics is the value that a function gets closer to when the input gets closer to a certain value. Calculus and mathematical analysis are not possible without limits, which are also required to determine continuity, derivatives, and integrals.
The limit of the sum of two functions is equal to the total of the limits of two functions, according to the sum law for limits.
[tex]\lim_{x \to \} a (f(x)+g(x))[/tex]
= L + M
Objective of Sum of limits are:
Understand the fundamental limit laws. To determine a function's limit, use the limit laws.By factoring, determine a function's limit.To determine the limit of a polynomial or rational function, use the limit laws.Determine a function's limit by factoring or by applying conjugates.Apply the squeezing theorem to determine a function's limit.Learn more about Sum law of limits:
https://brainly.com/question/29897210
#SPJ4
The dimensions of a rectangular prism are x-2 units, x+4 units, and 2x+1 units. What is the surface area of the prism?
The surface area of the rectangular prism, as a function of x, is given by:
A = 2*( (x - 2)*(x + 4) + (x + 4)*(2x + 1) + (x - 2)*(2x + 1))
What is the surface area of the prism?For a prism whose dimensions are X, Y, and Z, the surface area is:
A = 2*(X*Y + X*Z + Z*Y)
In this case we know that the dimensions of the rectangular prism are:
X = x - 2
Y =x + 4
Z = 2x + 1
Replacing that on the surface area equation we will get:
A = 2*( (x - 2)*(x + 4) + (x + 4)*(2x + 1) + (x - 2)*(2x + 1))
That equation gives the surface area as a function of x.
Learn more about surface area by reading:
https://brainly.com/question/16519513
#SPJ1
Two waiter in a returant hare 1/4 of their tip with the hot. On Saturday, One waiter earned $60 on tip, and the other earned $80 in tip. What wa tehir hot' hare?
The first waiter with $60 tips share $15 dollar to the second waiter and the second waiter with $80 share $20 to the first waiter.
How to find the share?As per data given is two different earned from tips, there will be two different amount of share from each. For a waiter that earned $60 from tip, the share will be:
First waiter share = tips earned x 1/4
First waiter share = $60 x 1/4
First waiter share = $60 x 0.25
First waiter share = $15
The share of the second waiter that earned $80 from tip will be:
Second waiter share = tips earned x 1/4
Second waiter share = $80 x 1/4
Second waiter share = $80 x 0.25
Second waiter share = $20
Learn more about a fraction of a set here
https://brainly.com/question/27723214
#SPJ4
In 2010, the population of a city was 220,000. From 2010 to 2015, the population grew by 6.2%. From 2015 to 2020, it fell by 4.5%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer: It grew by 13,640 people
Step-by-step explanation:
First, turn 6.2% into 0.062.
Next, multiply 0.062x220,000.
You get 13,640.
The rest of the information is unnecessary.
How do you solve nth problems?.
To solve nth problems we use the formula stated as aₙ = a + (n – 1)d.
A series in which the differences between each pair of following terms are the same is known as an arithmetic progression (AP). A formula for the nth term of the AP could be derived from this kind of progression. Because it follows a pattern where each number is acquired by adding 4 to the preceding term, the sequence 2, 6, 10, 14,... is an example of an arithmetic progression (AP). In this series, the nth term equals 4n-2. By changing the nth term to n=1,2,3,..., the sequence's terms can be obtained. i.e.,
First term when n = 1 is 4n-2 = 4. (1)
-2 = 4-2=2
second term = 4n-2 = 4 when n = 2 (2)
-2 = 8-2=6
The third term is 4n-2 = 4 for n = 3. (3)
-2 = 12-2=10
Learn more about nth problems:
https://brainly.com/question/7882626
#SPJ4
The axis of symmetry line passes through which point?
A. Y-intercept
C. Any random point
B. Vertex
D. Symmetrical point on the vertex
The axis of symmetry line passes through the vertex of the parabola.
What is the line of symmetry?The term "line of symmetry" refers to the fictitious axis or line that can be used to fold a figure into symmetrical halves. The axis of symmetry is another name for it. Due to the fact that it displays two coincident reflections of the same image, the line symmetry is also known as a mirror line.Any combination of vertical, horizontal, and diagonal lines or axes may be used. However, there are essentially two different kinds of symmetry lines. They are: symmetry in the vertical direction. Transverse Line of SymmetryA line that splits a form exactly in half is known as a line of symmetry. This indicates that both half of the object would perfectly match if you folded it along the line.Learn more about symmetry line refer to ;
https://brainly.com/question/493196
#SPJ4
8. Find m∢PSQ if m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15.
According to the presented question, m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, then m∢PSQ equals 97.
The term "supplementary angles" means what exactly?Supplementary angles are a pair of angles that always sum to 180 degrees. These two viewpoints are referred to as complements to one another. The English word "supplementary" is derived from the Latin words "Supplere" and "Plere," which respectively mean "supply" and "fill." As a result, the term "supplementary" designates something that is added to complete a task.
In this lesson, we will study about supplementary angles and how they can be applied to various geometry problems. As we explore supplementary angles, we'll discover how they differ from complimentary angles.
We know that the measure of an angle is supplementary to its adjacent angle. That means that the measure of an angle and its adjacent angle add up to 180 degrees.
Given that m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, we can set up the equation:
m∢PSQ + m∢PRQ = 180
Plug in the values for the angles:
(3y - 15) + (2y + 15) = 180
Simplifying, we get:
5y = 180
Now we can find the value of y by dividing both sides by 5:
y = 36
Therefore, m∢PSQ = 3y - 15 = 3(36) - 15 = 97
So, the measure of angle PSQ is 97 degrees.
To know more about angles visit:
https://brainly.com/question/13045673
According to the presented question, m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, then the measure of angle PSQ equals 97.
The term "supplementary angles" means what exactly?Supplementary angles are a pair of angles that always sum to 180 degrees. These two viewpoints are referred to as complements of one another. The English word "supplementary" is derived from the Latin words "Supplere" and "Plere," which respectively mean "supply" and "fill." As a result, the term "supplementary" designates something that is added to complete a task.
In this lesson, we will study about supplementary angles and how they can be applied to various geometry problems. As we explore supplementary angles, we'll discover how they differ from complementary angles.
We know that the measure of an angle is supplementary to its adjacent angle. That means that the measure of an angle and its adjacent angle add up to 180 degrees.
Given that m∢PSQ = 3y - 15 and m∢PRQ = 2y + 15, we can set up the equation:
m∢PSQ + m∢PRQ = 180
Plug in the values for the angles:
(3y - 15) + (2y + 15) = 180
Simplifying, we get:
5y = 180
Now we can find the value of y by dividing both sides by 5:
y = 36
Therefore, m∢PSQ = 3y - 15 = 3(36) - 15 = 97
So, the measure of angle PSQ is 97 degrees.
To know more about angles visit:
brainly.com/question/13045673
#SPJ1
If you have three mangoe if you got 5 extra from father and mother eat 2 from then then how many left
I have left 6 mangoes after I got 5 extra from father and mother ate 2
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Have = 3 mangoesGot = 5 mangoesEat = 2 mangoesHave left = ?Calculating how many mangoes I have after I got 5 from my father:
No. mangoes 1 = Have + got
No. mangoes 1 = 3 mangoes + 5 mangoes
No. mangoes 1 = 8 mangoes
Calculating how many mangoes I have after my mother ate 2 mangoes:
Final No. mangoes = No. mangoes 1 - eat
Final No. mangoes = 8 mangoes - 2 mangoes
Final No. mangoes = 6 mangoes
Learn more about algebraic operations at: brainly.com/question/3927786
#SPJ4
Are the following triangles congruent? Why or why not? Yes, SSS Yes, SAS Yes, ASA No, there is not enough information
No there is not enough information
What is the slope of a line perpendicular to the line y = −14x – 1?
The slope of the line perpendicular to the line y = ( -1/4 )x - 1 is m₂ = 4
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = ( -1/4 )x - 1 be equation (1)
The slope of the line is m₁ = ( -1/4 )
Now , the product of the slopes of perpendicular lines is -1
So , m₁ x m₂ = -1
Substituting the values in the equation , we get
( -1/4 ) x m₂ = -1
m₂ = 4
So , the slope of the line perpendicular to the line A is m₂ = 4
Hence , the slope of the line is m₂ = 4
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ1
Help me what do I write in here
If the graph doesn't go through the origin (0,0), the relationship is not a proportional one.
What you mean by proportional graph?A graph that represents a proportional relationship between y and x will have a straight line that passes through the point of origin (0, 0). The graph shown therefore doesn't represent a graph where y is directly proportional to x.For a graph representing a relationship where y is directly proportional to x, (y = kx), the line of the graph passes through the point of origin (0, 0).When y is directly proportional to x, the quantity of y changes along with the quantity of x.The graph shown has a line that doesn't pass through the point of origin (0, 0), so it is not a proportional graph and does not represent a relationship where y is directly proportional to x.Therefore, a graph that represents a proportional relationship between y and x will have a straight line that passes through the point of origin (0, 0). The graph shown therefore doesn't represent a graph where y is directly proportional to x.
To learn more about proportional graph refers to:
brainly.com/question/11514965
#SPJ1
2. In triangle ABC, the measure of angle A is 40°, and the measure of angle B
is 20°. In triangle DEF, the measure of angle D is 40°, and the measure of
angle F is 120°. Is AABC-ADEF? Explain how you know. Include any
calculations that might help you.
Triangle ABC and triangle DEF are not congruent.
What does a math congruent mean?
Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.
The measure of angle A and angle D are both 40 degrees, but the measure of angle B and angle F are not equal. The measure of angle B is 20 degrees, while the measure of angle F is 120 degrees.
In a triangle, the sum of all three angles is 180 degrees. So in triangle ABC, the measure of angle C is 180-40-20 = 120 degrees.
In triangle DEF, the measure of angle E is 180-40-120 = 20 degrees.
Therefore, angle B and angle E are not congruent, so the triangles are not congruent.
In order for two triangles to be congruent, they must have corresponding sides and angles of the same measure. Since the measure of angle B and angle E are not equal, then triangle ABC and triangle DEF are not congruent.
Learn more about congruent
https://brainly.com/question/2938476
#SPJ1
