If the two triangles have the two congruent side, then the two triangles are congruent.
The term triangle refers the polygon with three side, three vertices, and three edges.
Here we have to prove that the two triangles are congruent with two congruent sides.
As we know that the term congruent refers if their sides have the same length and angles have same measure.
Based on these theory, and we have to use the another theory called SAS (Side-Angle-Side) tell that any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, if then the two triangles are said to be congruent.
According to this rule, we have clearly identifies that the given two triangles are congruent.
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Which is the graph of y 5?
The graph of y = 5 is a line parallel to the x-axis at a distance of 5 units from the origin.
What is graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.
The relationships between two or more items are frequently represented by the points on a graph.
The y = 5 graph is a line that runs parallel to the x-axis at a distance of 5 units from the origin.
Assuming Y-axis as vertical line, X-axis as horizontal line
(see it in attached image)
Graph of y = 5 is the line where y is not changing or y always be 5, only x will change.
Graph of y is the straight line passing through 5 and parallel to X axis
Therefore, a line that is 5 units from the origin and parallel to the x-axis forms the graph of y=5.
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The total of the age of Ann, Bob and Chri i 31 year. What will the total of their age be in three year’ time?
The total of their age be in three years time is 40 years.
As per the given data:
The total of the age of Ann, Bob and Chri is 31 years.
Let the present age of Ann is 'x' years.
Then the age of Ann after 3 years will be x+3
Let the present age of Bob is 'y' years.
Then the age of Bob after 3 years will be y+3
Let the present age of Chri is 'z' years.
Then the age of Chri after 3 years will be z+3.
The total of the age of Ann, Bob and Chri is 31 years.
x + y + z = 31.....(i)
The total of the age of Ann, Bob and Chri after 3 years is ( x + 3 + y + 3 + z + 3 ) years.
= ( x + 3 + y + 3 + z + 3 )
= ( x + y + z + 9 )
From equation (i)..... ( x + y + z = 31 )
= 31 + 9
= 40 years
Therefore the answer is 40 years.
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Help!! My question is : One species of frog can grow up to a maximum length of 12.4 millimeters. What is the maximum length of this frog species in centimeters? My notes are that if you are converting longer to shorter units, multiply if your doing the opposite (shorter to longer) you divide. Lmk if u need the metric units of length (helps w/ solving the problem) and customary units of length
It can reach a length of 12 inches. The smallest frog can grow to be about 4% the size of the goliath.
12.4 millimeters = 1.24 centimeters is the answer.
what are metric length units?To convert units of length in the metric system of measurement
The basic unit of length in the metric system is the meter. All units of length in the metric system are derived from the meter. The prefix “centi-“means one hundredth.
1 centimeter=1 one-hundredth of a meter
kilo- = 1000 1 kilometer (km) = 1000 meters (m)
hecto- = 100 1 hectometer (hm) = 100 m
deca- = 10 1 decameter (dam) = 10 m 1 meter (m) = 1 m
deci- = 0.1 1 decimeter (dm) = 0.1 m
centi- = 0.01 1 centimeter (cm) = 0.01 m
milli- = 0.001 1 millimeter (mm) = 0.001 m
In the metric system, converting length units involves moving the decimal point to the right or left. Listing the units in ascending order will show how many places to move the decimal point and in which direction.
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suppose i work at a call center and i have to track the urgency of the incoming calls. in one day, i had 20 calls. 5 were classified as urgent and 15 were classified as no rush. what is the mode of this data?
The mode of the data at the call center will be 15 which are the non urgent s that was received.
What is the mode of a data set?The mode of a data set is defined as the value of the set of data that appeared or occurred the most. When two values have the same number of occurrences or frequency, it is said that the data set is bimodal or has two modes.
From the scenario given,
The number of calls received in a day = 20 calls.
The number of calls that are urgent = 5
The number of calls that are not urgent = 15
Therefore, the mode of this data set would be the number of non urgent calls which is 15.
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The ratio of soccer balls to basketballs at Andrew’s school is shown on the ratio table. What number completes the ratio table to make an equivalent ratio? [Type your answer as a number.]
soccer balls 30 ?
basket balls 25 5
Answer:
10
Step-by-step explanation:
30-25=5
10-5=5
30:10
25:5
How many solutions will the linear equation 2x 5y 7 has?
The linear equation 2x + 5y = 7 has infinitely many solutions.
In this question we need to determine the number of solutions of the linear equation 2x + 5y = 7.
We know that an equation of the form ax + by + c = 0, where a, b and c are real numbers such that a ≠ 0 and b ≠ 0, is called as a linear equation in two variables.
Also as we know a linear equation in two variables has infinitely many solutions. The graph of linear equation in two variables is a straight line. Every point on the straight line represents a solution of the linear equation.
Here we have a linear equation in two variables 2x + 5y = 7.
By rearranging given linear equation we get,
5y = 2x - 7
y = (2x - 7)/5
Here we will get different values of y for different values of x
Therefore, the linear equation has infinitely many solutions.
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What is a degree 4 function called?
Answer:
Quartic function
Step-by-step explanation:
Answer: Quartic function
Step-by-step explanation:
the probability that the same kayla will score above 80% on a mathematics test is 0.70. kayla will take four tests this semester. we want to find the probability she will score above 80% on exactly three out of the four tests. what is the probability of kayla scoring above 80% on exactly three out of the four tests?
The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.
Probability
Given that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:
0.6 x 0.6 x 0.6 x 0.4 = X
0.216 x 0.4 = X
0.0864 = X
0.0864 x 100 = 8.64
Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.
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Is 12345 divisible by 3?
Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility for three.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
here
add all the numbers,
1 + 2+ 3 + 4+ 5 = 15
and 15/3 = 5
so it is divisible by 3
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What are the multiples of 42?
The first 10 multiples of 42 are as follows:
42, 84, 126, 168, 210, 252, 294, 336, 378, 420.
What are multiples?In mathematics, multiplying any number by integer results in a multiple.
In other terms, it can be argued that b is a multiple of the supplied two numbers, a, and b if b = na for some integer n, known as the multiplier.
This is comparable to saying that if an is not zero, then b/a is an integer.
When a and b are both integers and b is a multiple of a, then an is said to be a divisor of b.
So, the multiples of 42 are:
42, 84, 126, 168, 210, 252, 294, 336, 378, 420
Therefore, the first 10 multiples of 42 are as follows:
42, 84, 126, 168, 210, 252, 294, 336, 378, 420.
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Correct question:
What are the first 10 multiples of 42?
a certain identification code is a list of five symbols: s sub 1s sub 2d sub 1d sub 2d sub 3 each of the first 2 symbols must be one of the 26 letters of the english alphabet, and each of the last 3 symbols must be one of the 10 digits. (repeated letters and digits are allowed.) what is the total number of different identification codes?
676000 is the required total number of different identification codes.
The total number of possible combinations here is computed as:
= Product of the many ways to select each of the characters
= 262*103 = 676000 is the required number of total ways here.
Note that there are 26 possible ways to select each of the first 2 letters and there are 10 ways to select each of the 3 digits here.
Identification Code is a randomly generated set of alpha-numeric symbols supplied by the Bank at the time the Agreement was executed and used as a personal security measure to identify the Customer in communications between the Bank and the Customer via the Customer Service Desk.
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Solve the systems of equations below using substitution.
Answer:
(24, 41 )
Step-by-step explanation:
y = 3x - 31 → (1)
y = - 2x + 89 → (2)
substitute y = 3x - 31 into (2)
3x - 31 = - 2x + 89 ( add 2x to both sides )
5x - 31 = 89 ( add 31 to both sides )
5x = 120 ( divide both sides by 5 )
x = 24
substitute x = 24 into either of the 2 equations and solve for y
substituting into (1)
y = 3(24) - 31 = 72 - 31 = 41
solution is (24, 41 )
Answer:
(24,41)
Step-by-step explanation:
Set the 2 equations equal to each other.
3x - 31 = -2x + 89 Add 2x to both sides of the equal sign
3x + 2x -31 = -2x + 2x + 89
5x -31 = 89 Add 31 to both sides of the equal sign
5x -31 + 31 = 89 + 31
5x = 120 Divide both sides by 5
[tex]\frac{5x}{5}[/tex] = [tex]\frac{120}{5}[/tex]
x = 24 This is your x value.
Substitute 24 for x into either of the two original equations to solve for y.
y = 3x -31
y = 3(24) - 31
y = 72 - 31
y = 41 This is your y value.
Check:
y = 3x -31
41 = 3(24) - 31
41 = 72 -31
41 = 41 Checks
y = -2x + 89
41 = -2(24) + 89
41 = -48 + 89
41 = 41 Checks.
what does 12 times a number g mean?
Answer:
The Answer is 12 g because 12* g =12g
How do you draw asymptotes?
To draw asymptotes, first determine the equation of the line of the asymptote. Then use the equation to plot points and draw the line. For vertical asymptotes, use the x-intercept and for horizontal asymptotes, use the y-intercept.
To draw asymptotes, first you need to determine the equation of the line of the asymptote. The equation of the asymptote is usually in the form of y = ax + b or x = ay + b. The a and b coefficients allow you to determine the slope and intercept of the line. Once you have the equation, use it to plot points and draw the line. For vertical asymptotes, use the x-intercept and for horizontal asymptotes, use the y-intercept. Then, connect the points with a smooth line. Make sure the line does not intercept the graph at any point as this would not be an asymptote. Once you have drawn the line, check to make sure it is indeed an asymptote by comparing it to the given equation. If it matches, you have successfully created an asymptote!
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what is the 95% confidence interval for the difference in the two means (construction site minus undisturbed location)?
The 95% confidence interval for the difference in the two means = (-2.56 , 0.16)
What is Confidence Interval?
The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.
Given,
Sample statistics size(n) mean(x) s.d(s)
Construction site 16 x₁ = 5.584 1.812
Undistributed Location 16 x₂ = 6.789 1.945
Standard error = 0.665
Degree of freedom = 30
Critical T-value for 95% confidence interval is 2.0423
The 95% confidence interval for the difference in the two means
(construction site - undistributed location)
= x₁ -x₂ ± (t-value) (standard error)
= 5.584 - 6.786 ± (2.0423) (0.665)
= -1.2020 ± 1.358130
= (-1.2020 - 1.358130 , -1.2020 + 1.358130)
= (-2.56 , 0.156)
= (-2.56 , 0.16)
for complete question see the attachment
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Given,
Sample statistics size(n) mean(x) s.d(s)
Construction site 16 x₁ = 5.584 1.812
Undistributed Location 16 x₂ = 6.789 1.945
Standard error = 0.665
Degree of freedom = 30
Critical T-value for 95% confidence interval is 2.0423
The 95% confidence interval for the difference in the two means
(construction site - undistributed location)
= x₁ -x₂ ± (t-value) (standard error)
= 5.584 - 6.786 ± (2.0423) (0.665)
= -1.2020 ± 1.358130
= (-1.2020 - 1.358130 , -1.2020 + 1.358130)
= (-2.56 , 0.156)
= (-2.56 , 0.16)
Is algebra 8th or 9th grade?
Algebra is advised for ninth grade, and pre-Algebra is taught in eighth grade, according to the Common Core standards that California enacted two years ago and is just now starting to apply.
what is algebra ?In algebra, definite or fixed numbers with values like 2, 9, 0.068, etc. are used. Introduction to algebra, advanced algebra, abstract algebra, linear algebra, and commutative algebra are only a few of the many sub-disciplines of algebra.
here ,
The option to take it in the eighth grade may be given to students who demonstrated extraordinary potential in the subject.
Algebra is often taught in the eighth grade in many schools today, while certain students who meet a certain threshold can finish the subject in the lower grades.
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For the polynomial function f(x) = -2x4 + 8x2 - 8, find all local and global extrema.
A.) No global extrema exist.
B.) The only extrema point is (0, -8).
C.)The local and global extrema are: (-√2.0), (0.-8) and (√2.0).
D.)No local extrema exist.
The derivative for [tex]y=eu(x)[/tex]; [tex]u(x)[/tex] is a function in terms of [tex]x[/tex] is [tex]\frac{dy}{dx}[/tex]=[tex]eu'(x)[/tex]+ [tex]u(x)e[/tex].
Definition of derivative-A derivative is the rate of change of a function with respect to a certain variable . Derivatives are fundamental to the solution of problems in calculus and differential equations.
There are certain rules of differentiation which help us to evaluate the derivatives of some particular functions. :
Power Rule.
Sum and Difference Rule.
Product Rule.
Quotient Rule.
Chain Rule.
Given: [tex]y=eu(x)[/tex]
Explanation:-This equation can be solved using the product rule of derivatives .
According to the product rule derivative of uv will be taken as -
u(v)' + v(u)'
where (') represents derivative of the variable.
Therefore accordingly, [tex]y=eu(x)[/tex]
Differentiating with respect to [tex]x[/tex],
[tex]\frac{dy}{dx} =e(u(x))'+u(x)(e')[/tex]
[tex]\frac{dy}{dx} =eu'(x)+u(x)e[/tex]
So, finally the derivative of the function in terms of x is [tex]\frac{dy}{dx}[/tex] = [tex]eu'(x)+[/tex][tex]u(x)e[/tex]
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The difference between a number p and 6 is -14
Equation:
Solution:p=
The value of p in the equation p - 6 = -14 is -8.
What is the value of p in the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.
In this situation, the difference between a number p and 6 is -14.
It should be noted that the equation van be illustrated as:
p - 6 = -14
Collect like terms
p = -14 + 6
p = -8
The value of p is -8.
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What are the 4 ways to write a solution to an inequality?
How many different possible outcomes are there when two six sided dice are rolled?
Answer:
36 different ones
Step-by-step explanation:
When two dice are rolled, there are now 36 different and unique ways the dice can come up. This figure is arrived at by multiplying the number of ways the first die can come up (six) by the number of ways the second die can come up (six)
1.5(x-5)=1 solve for x
Answer: 5.66
Step-by-step explanation:
1.5(x-5)= 1
1.5x - 7.5 = 1
Add 7.5 on both sides
1.5x = 8.5
Divided 1.5 into both sides
x = 5.66
which two figures of the following labels correctly refer to the angels shown in the figure?
A.
B.
C.COD
D.
Find the slope between each points.
(-8,18) and (-14,-3)
Answer:
the slope between the two points is 3.5.
Step-by-step explanation:
To find the slope between two points, you can use the formula: slope = (y2 - y1) / (x2 - x1). Plugging in the coordinates for the two points, we get: slope = (-3 - 18) / (-14 - (-8)). Simplifying the expression, we get: slope = -21 / -6Which simplifies to slope = 3.5, So slope between the two points is 3.5.
Answer:
Slope: 7/2
Step-by-step explanation:
Slope formula:
m=(y2-y1)/(x2-x1) ==> where m=slope, (x1, y1), (x2, y2)
(x1, y1), (x2, y2) ==> (x1=-8, y1=18), (x2=-14, y2=-3)
m=(-3-18)/(-14-(-8)) ==> plugin y2=-3, y1=18 and x2=-14, x1=-8
m=(-(3+18))/(-14+8)
m=(-21)/(-6) ==> simplify
m=21/6 ==> m=7/2
What is the range of f )= 4?
Answer: the range is 4
Step-by-step explanation:
What is the value of TT in math?
Answer:
22/7 or 3.14
the value of pie is 22/7 or if you write it in decimals it will be 3.14.
How do you find the maximum of a quadratic function on a calculator?
Positive is the leading coefficient. The parabola is hence downward. The maximum vertex form value will then be a negative four.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The equation is given below.
y = − x² + 2x − 5
Convert the equation into a vertex form. Then we have
y = − x² + 2x − 5
y = − x² + 2x − 1 − 4
y = − (x² − 2x + 1) − 4
y = − (x − 1)² − 4
The leading coefficient is positive. So, the parabola is downward. Then the maximum value of vertex form will be negative 4.
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The complete question is given below.
How do you find the maximum of a quadratic function on a calculator?
y = − x² + 2x − 5?
a pet shop pays $40 for a dog bed, and then sells it to a customer for $75. what is the percent markup
NEED HELP!!!
The graph shows a linear relationship between y, the number of bicycles, and x, the number of tires.
Which statement is true?
Select TWO correct answers.
A. Range: {0, 1, 2, 3, 4, 5}
B. Domain: {0, 1, 2, 3, 4, 5}
C.Range: {0, 2, 4, 6, 8, 10}
D. Domain: 0 ≤ x ≤ 5
E. Domain: {0, 2, 4, 6, 8, 10}
F. Range: 0 ≤ y ≤ 10
The Range={0, 1, 2, 3, 4, 5}
Domain={0, 2, 4, 6, 8, 10}
So, options A and E are correct.
What is meant by range and domain?Its arguments are a group of values that can be plugged into a function's domain. This set includes the x values for a function like f(x). Its range refers to the set of digits that the function considers. The function prints these values in the order they are entered after the insertion of an x value.
Another approach to defining the scope and range of functions is through the use of graphs. Since "domain" refers to the set of possible input values, the full set of input values shown on the x-axis is the domain of a graph. On the y-axis, the range's varied output values are visible.
From the graph the points are (0, 0), (1, 2), (2,4), (3,6), (4,8), (5,10)
So, Range={0, 1, 2, 3, 4, 5}
Domain={0, 2, 4, 6, 8, 10}
Therefore, options A and E are correct.
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What is y =- 3 on a graph?
Answer:
A line.
Step-by-step explanation:
Graphing y = -3 will give you a horizontal line 3 units below the x-axis.
To imagine this, we can create a bunch of points, each with a y coordinate of -3. For example: (-2, -3), (-1, -3), (3, -3), (6,-3). Graphing these will lead to a horizontal line!
What is the product of five and 85
Answer:
[tex]5 * 85 = 425[/tex]
Step-by-step explanation:
⭐ What is the product of 2+ numbers?
The product of 2+ numbers is the answer you get when multiplying 2+ numbers.To get the product of 5 and 85, multiply them!
You can multiply them using a calculator, or manually multiply them just like how I showed in the image attached: