Answers
The congruence postulate or theorem that is stated is the: C. AAS congruence theorem.
What are Congruent Triangles?Triangles that are referred to as congruent triangles are triangles that have corresponding congruent sides and corresponding congruent angles.
What is the Angle-angle-side Congruence Theorem (AAS)?According to the angle-angle-side congruence theorem (AAS) two triangles are congruent if two angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of the other are congruent to each other.
For example, in triangles GUM and RED given in the image attached below, we have the following:
∠G ≅ ∠R [a pair of congruent angles]
∠M ≅ ∠D [a pair of congruent angles]
GU ≅ RD [a pair of non-included congruent side]
Thus, both triangles are congruent by the AAS, which is the congruence theorem that is stated above.
The answer is: C. AAS.
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Answer:
aas
Step-by-step explanation:
Related Questions
help pls i will give brainleast no links
Answers
Answer: 100 square cm
Step-by-step explanation: the triangle is 33 cm and the big rectangle is 9x7 square cm. There is a small square that is 2x2 =4 cm so the total is 33 +63 + 4 which is 100 cm.
Answer: 104
Step-by-step explanation:
area of trangle =33 because 6*11/2=33
area of rectangle 9*7=63
area of rectangle 2*2=4
33+63+4=100^2
A line that includes the points (j,
–
7) and (5,3) has a slope of
10
7
. What is the value of j?
Answers
Answer:
j = 7.8.
Step-by-step explanation:
The slope of the line = difference in y-values / corresponding difference in x-values.
Slope = (7-3) / (j-5) = 10/7
so 10(j - 5) = 7*4
10j - 50 = 28
10j = 78
j = 7.8.
The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d) find an expression for c and d in terms of a and b hence find the inverse of (2,1)
Answers
a. The expressions for c and d in terms of a and b are
c = -2b³/[(a⁴ - b⁴)a] + 1/(a - b) and d = -2b²/(a⁴ - b⁴)b. The inverse of (2,1) is (13/15, -4/15)
The question has to do with binary operation.
What is a binary operation?A binary operation is a rule of mathematical operation on two sets of elements defined on a given set.
a. How to find the expression for c and dSince The operation * is defined over the set of ordered pairs by (a,b)*(c,d)=(ac-bd,ad+bc) for all (a,b),(c,d)€R given that the inverse of (a,b) is (c,d).
Let (e, e') be the identity element.
We know that for any binary operation * on a given set, a*e = a where e is the identity element.
So, (a,b)*(e,e') = (a,b)
So, (a,b)*(c,d) = (ac - bd, ad + bc)
(a,b)*(e,e') = (ae - be, ae' + be')
Since (a,b)*(e,e') = (a,b)
(ae - be, ae' + be') = (a, b)
So,
ae - be = a (1) and ae' + be' = b (2)e = a/(a - b) and e' = b/(a + b)
So, (e, e') = (a/(a - b), b/(a + b))
Also, for any binary operation * under a given set a*a⁻¹ = e where a⁻¹ = inverse of a.
Since (c,d) is the inverse of (a,b), we have that
(a,b)*(c,d) = (e, e')
So, (a,b)*(c,d) = (ac - bd, ad + bc)
= (a/(a - b), b/(a + b))
So,
ac - bd = a/(a - b) (3) and ad + bc = b/(a + b) (4)From (3), c = bd/a + 1/(a - b)
Substituting c into (4), we have
ad + bc = b/(a + b)
ad + b[bd/a + 1/(a - b)] = b/(a + b)
ad + b²d/a + b/(a - b) = b/(a + b)
ad + b²d/a = b/(a + b) - b/(a - b)]
(a + b²/a)d = b[1/(a + b) - 1/(a - b)]
[(a² + b²)/a]d = b[a - b - (a + b)]/(a - b)(a + b)
[(a² + b²)/a]d = b[a - b - a - b)]/(a - b)(a + b)
[(a² + b²)/a]d = b(-2b)/(a² - b²)
d = -2ab²/[(a² - b²)(a² + b²)]
d = -2ab²/(a⁴ - b⁴)
Substitutind d into c, we have
c = bd/a + 1/(a - b)
c = -2ab³/(a⁴ - b⁴)a + 1/(a - b)
c = -2b³/(a⁴ - b⁴) + 1/(a - b)
So, the expressions for c and d in terms of a and b are
c = -2b³/[(a⁴ - b⁴) + 1/(a - b) and d = -2ab²/(a⁴ - b⁴)b. What is the inverse of (2,1)Since (c,d) is the inverse of (a,b) is
c = -2b³/(a⁴ - b⁴)+ 1/(a - b) and d = -2ab²/(a⁴ - b⁴)So, with a = 2 and b = 1, c = -2b³/(a⁴ - b⁴) + 1/(a - b)
= -2(1)³/(2⁴ - 1⁴) + 1/(2 - 1)
= -2/(16 - 1) + 1/1
= -2/15 + 1
= (-2 + 15)/15
= 13/15
So, with a = 2 and b = 1, d = -2ab²/(a⁴ - b⁴)
= -2(2)(1)²/(2⁴ - 1⁴)
= -4(1)/(16 - 1)
= -4/15
So, the inverse of (2,1) is (13/15, -4/15)
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what’s the inverse function of f
f(x)=x+2/7
Answers
Answer: A
Step-by-step explanation:
Let f(y)=x.
[tex]x=\frac{y+2}{7}\\\\7x=y+2\\\\y=7x-2\\\\f^{-1}(x)=7x-2[/tex]
13% of a sample of 200 students do not like ice cream. what is the 95% confidence interval to describe the total percentage of students who do not like ice cream?
Answers
Using the z-distribution, the 95% confidence interval to describe the total percentage of students who do not like ice cream is:
(8.34%, 17.66%).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
For this problem, the estimate and the sample size are given, respectively, by:
[tex]\pi = 0.13, n = 200[/tex]
Hence the bounds of the interval are:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.0834[/tex][tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13(0.87)}{200}} = 0.1766[/tex]As a percentage, the interval is:
(8.34%, 17.66%).
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Rearrange the equation so w is the independent variable.
u-5=-4(w-1)u−5=−4(w−1)u, minus, 5, equals, minus, 4, left parenthesis, w, minus, 1, right parenthesis
u=u=
Answers
u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1). This can be obtained by simplifying the equation and taking w to one side of the equation with other constants.
Find the rearranged equation:Simplifying an equation can be done by using the following steps:
Add/subtract the terms from the equation on both sides Multiply/divide the coefficients of the variable in order to isolate the variable Solve for the variable Substitute the variable in the original equation for finding other variables (if any)Here it is given that the equation is,
⇒ u - 5= - 4(w - 1)
We have to find an equation in which w is taken to one side of the equation with other constants.
First by adding both side of the equation with 5 we get,
⇒ u - 5 + 5 = - 4(w - 1) + 5
By opening the bracket we get,
⇒ u = - 4w + 4 + 5
Finally by adding the constants we get,
⇒ u = - 4w + 9
Hence u = - 4w + 9 is the rearranged equation so that w is the independent variable given that the equation is u - 5= - 4(w - 1).
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I need this question to be done please I beg u.
It’s very important
I will fail if not done please help me
U must Determine the zeros of each following
Answers
b) x = 9 x = -5
c) x = -4 x = -2
Answer:
here's your answer step by step explanation
Step-by-step explanation:
page 6 is missing comment me i will send you page 6
Gustavo is in a contest where he will win one of four possible prizes. he creates a four-part spinner to represent the four prizes that he has an equal chance of winning: a video game system, a bicycle, a watch, and a gift card. he spins the spinner several times to demonstrate the likelihood of winning a certain prize. what is true about gustavo’s method of data collection and his data on the possible prizes?
Answers
Answer:
Gustavo used a simulation where the data is quantitative’
The long division below shows the first term of the quotient. which polynomial should be subtracted from the dividend first? x 2 startlongdivisionsymbol x cubed 3 x squared x endlongdivisionsymbol to get a quotient of x squared
Answers
The polynomial that should be subtracted from the dividend first is; x³ + 2x²
How to carry out polynomial long division?
The long division we are given is;
__________
x + 2 ) x³ + 3x² + x
Now, when we divide the polynomial by (x + 2), it means that the first quotient will be x².
Then by the multiplication of (x + 2) and x², we get a polynomial which will be subtracted from the dividend. Thus, we have;
(x + 2) * (x²) = x³ + 2x²
Thus, the polynomial to be subtracted is x³ + 2x²
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Find the 4 terms in the sequence given [tex]an=n^2+4[/tex]
Answers
Answer:
a₁ = 5
a₂ = 8
a₃ = 13
a₄ = 20
Step-by-step explanation:
Given sequence formula
aₙ = n² + 4
Requirement of the question
Find the 4 terms in the sequence
Substitute 4 values into the sequence formula
a₁ = (1)² + 4 = 1 + 4 = [tex]\Large\boxed{5}[/tex]
a₂ = (2)² + 4 = 4 + 4 = [tex]\Large\boxed{8}[/tex]
a₃ = (3)² + 4 = 9 + 4 = [tex]\Large\boxed{13}[/tex]
a₄ = (4)² + 4 = 16 + 4 = [tex]\Large\boxed{20}[/tex]
Hope this helps!! :)
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he cashier service time at the local branch of the Rivertown bank has an exponential distribution with a mean of 2.5 minutes. What is the probability that the service time: Exceeds 3 minutes
Answers
The probability that the service time will be more than three minutes is 0.3012.
Given that the average wait time at the Rivertown bank's neighborhood branch is 2.5 minutes and has an exponential distribution,
The time it takes to succeed in a continuous sequence of independent trials is described by the exponential distribution, which is a continuous probability distribution.
At the River Town Bank's neighborhood branch, the random variable X service time has an exponential distribution with a mean value of 2.5 minutes. Therefore,
[tex]f(x)=\left\{\begin{array}{ll}\theta e^{-\theta x},& \theta \geq 0,0\leq x\leq \infty\\0&\text{otherwise}\end{array}[/tex]
E(x)=1/θ
θ=1/2.5
θ=0.4
The probability that the service time will be longer than three minutes:
[tex]\begin{aligned}P(X > 3)&=1-P(X\leq 3)\\ &=1-(1-e^{-0.4\times 3}\\ &=e^{-1.2}\\ &=0.3012\end[/tex]
Since the service duration has an exponential distribution and a mean of 2.5 minutes, the needed chance that it will exceed 3 minutes is 0.3012.
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Which algebraic expression represents the following: the sum of four times a number and six? (1 point) 4x + 6
Answers
The algebraic expression of the statement is 4x + 6
How to determine the algebraic expression?The statement is given as:
The sum of four times a number and six
Rewrite as:
The sum of 4 times a number and 6
Let the number be x
So, we have
The sum of 4 times x and 6
Evaluate the product
The sum of 4x and 6
Evaluate the sum
4x + 6
Hence, the algebraic expression of the statement is 4x + 6
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Question 1 (essay worth 4 points) (h2.02 mc) the cost of attending an amusement park is $15 for children and $40 for adults. on a particular day, the attendance at the amusement park is 5,000 attendees, and the total money earned by the park is $100,000. use the given matrix equation to solve for the number of children’s tickets sold. explain the steps that you took to solve this problem. a matrix with 2 rows and 2 columns, where row 1 is 1 and 1 and row 2 is 15 and 40, is multiplied by matrix with 2 rows and 1 column, where row 1 is c and row 2 is a, equals a matrix with 2 rows and 1 column, where row 1 is 5,000 and row 2 is 100,000.
Answers
Using a system of equations, it is found that there were 4,000 children tickets sold.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given by:
Variable x: Number of children tickets sold.Variable y: Number of adult tickets sold.The attendance at the amusement park is 5,000 attendees, hence:
x + y = 5000 -> y = 5000 - x.
Considering the cost of parking and that the total money earned by the park is $100,000, we have that:
15x + 40y = 100000
Applying the multiplication of the matrices, these equations are the same that the system gives. Replacing the second equation into the first:
15x + 40(5000 - x) = 100000
25x = 100000
x = 100000/25
x = 4000.
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P (-7, 1) T(x,y)= (x+9, y - 3) find the image of the given point under the given translation
Answers
[tex](-7+9, 1-3)=\boxed{(2, -2)}[/tex]
The answer is (2,-2).
What do we mean by translation?Each point in a figure is moved the same distance in the same direction using a type of transformation known as translation.A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction. For instance, this transformation shifts the parallelogram 3 units upward and 5 units to the right.A transformation in geometry is an action that moves, flips, or modifies a shape (referred to as the preimage) to produce a new shape (called the image). An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction.Find the image of the given point under the given translation:
The rule of translation is (x+9, y - 3), P (-7, 1).
Here we need to add 9 from
x value is -7+9=2
y We need to subtract -3 from
y value is (1-3)=-2
So, P’=( 2,-2)
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Please help with number 5 I tried it but I’m very confused :(
Answers
Answer: [tex]\Large\boxed{15~dimes~;~9~nickels}[/tex]
Step-by-step explanation:
Given information
Number of coins = 24 coins
Total amount = $1.95
Dime = 10 cents = $0.1
Nickel = 5 cents = $0.05
Set variables
Let d be the number of dimes
Let n be the number of nickels
Set a system of equation
1) d + n = 24
2) 0.1d + 0.05n = 1.95
Multiply 10 on both sides of 2) equation
0.1d · 10 + 0.05n · 10 = 1.95 · 10
d + 0.5n = 19.5
Current system
1) d + n = 24
2) d + 0.5n = 19.5
Subtract 2) equation from the 1) equation
(d + n) - (d + 0.5n) = (24) - (19.5)
Expand the parenthesis
d + n - d - 0.5n = 24 - 19.5
Combine like terms
d - d + n - 0.5n = 4.5
0.5n = 4.5
Divide 0.5 on both sides
0.5n / 0.5 = 4.5 / 0.5
[tex]\Large\boxed{n=9}[/tex]
Substitute the n value into one of the equations to find the d value
d + n = 24
d + (9) = 24
d = 24 - 9
[tex]\Large\boxed{d=15}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
n + d = 24
0.05n + 0.1d = 1.95
I used substitution
n = 24 - d
0.05(24 - d) + 0.1d = 1.95
1.2 - 0.05d + 0.1d = 1.95
1.2 + 0.05d = 1.95
0.05d = 0.75
d = 15 or 15 dimes
Plug in
n + d = 24
n + 15 = 24
n = 9 or 9 nickels
Check
0.05n + 0.1d = 1.95
0.05(9) + 0.1(15) = 1.95
0.45 + 1.50 = 1.95
1.95 = 1.95
Find the equation of a line that passes through the points (-2,-3) and (4,1)
Answers
The equation of the line from give points is y = 2/3x - 5/3.
According to the statement
We have given that the two points which are (-2,-3) and (4,1)
And we have to find the equation of a line that passes through the given points.
So,For this purpose,
First, we need to determine the slope of the line. The slope can be found by using the formula:
[tex]m = \frac{(y_2) -(y_1)}{(x_2) -(x_1)}[/tex]
Where
m is the slope and
Substituting the values from the points in the problem gives:
m = 1 + 3 /4 + 2
m = 4/6
m = 2/3.
And then
Now, we can use the point-slope formula to find an equation for the line. The point-slope formula states:
[tex]y - (y_1) = m(x -x_1)[/tex]
Put the values in it then
y - (-3) = 2/3 (x-(-2))
y +3 = 2/3 (x +2)
3y + 9 = 2x + 4
3y - 2x = 4 -9
3y -2x = -5
3y = 2x - 5
y = 2/3x - 5/3.
So, The equation of the line from give points is y = 2/3x - 5/3.
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An industrial machine produces widgets, but it has a 0.12 defective rate. what is the probability that the machine produces fewer than 3 defective widgets in a production run of 75 items?
Answers
The probability that the machine produces fewer than 3 defective widgets in a production run of 75 items is 0.041.
What is the probability?A probability refers to the ratio of favorable events to the n number of total events.
Also, it means the chance that a particular event (s) will occur expressed on a linear scale from 0 to 1 which can also be expressed as a percentage between 0 and 100%.
Given data
An industrial machine produces 3 widgets.
It has a 0.12 defective rate.
Defective rate fewer than 3
Total Probability = P of 2 defective + P for 1 defective
Total Probability = 2/74 + 1/73
Total Probability ≈ 0.04072565716
Total Probability ≈ 0.041
Therefore, the required probability for fewer than 3 defective rate is 0.041
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Find the value of x in the given figure
Answers
Answer:
X=36
Step-by-step explanation:
2x + 3x=5x
if given figure is 180 then
5x=180
X=180/5
X=36
In the diagram below, if < ACD = 48 °, find the measure of < ABD.
Answers
Answer:
d
Step-by-step explanation:
the opposite angles of a cyclic quadrilateral sum to 180° , that is
∠ ABD + ∠ ACD = 180°
∠ ABD + 48° = 180° ( subtract 48° from both sides )
∠ ABD = 132°
please help! look at the phot linked
Answers
Answer: C
Step-by-step explanation: the other two options are both wrong, 0.13 is larger than 0.125 and she did order by volume per fish.
Find the consecutive numbers such that the sum of four times the first and triple the second is 157 (Linear systems)
Answers
Answer:
22, 23
Step-by-step explanation:
4x + 3(x + 1) = 157
4x + 3x + 3 = 157
7x + 3 = 157
7x = 154
x = 22
Jesse and Mark are jogging along the route shown at a rate of 12 miles per hour. They start by jogging south along Capitol Street for 1 mile, then turn east on H Street and jog for 1.75 miles. At that point, Jesse is tired and decides to walk home along Florida Avenue at a rate of 5 miles per hour. Mark plans to jog back the way they came. Jesse wants to find out who will arrive home first and by how much time. Which statements should he consider when solving the problem? Check all that apply
Answers
Answer:
the answer is 1,2,4,5 and 7.
Answer: The answer is A,B,D,E,G
Step-by-step explanation: just trust me and enjoy your write answers. Have a nice day.
Please help me asap
a. What is the area of the roof that needs to be covered?
b. How many shingles do you need to buy?
Answers
A quantity of 84 shingles are required to cover the surface area of 336 square feet of the first roof.
A quantity of 110 shingles are required to cover the surface area of 220 square feet of the second root.
How many shingles and how many area do we need to cover a root?
In this question we must determine both the surface area and the number of shingles to cover two roof configurations as well. In the first case, we calculate the surface area, which is the sum of the area of rectangles:
A = 2 · (8 ft) · (12 ft) + 2 · (6 ft) · (12 ft)
A = 336 ft²
And the number of shingles required to cover the root is:
n = (336 ft²) / (4 ft²)
n = 84
A quantity of 84 shingles are required to cover the surface area of 336 square feet of the first roof.
In the second, we only need to cover the very top surface. The area and the number of shingles are, respectively:
A = 2 · (5 ft) · (22 ft)
A = 220 ft²
n = (220 ft²) / (2 ft²)
n = 110
A quantity of 110 shingles are required to cover the surface area of 220 square feet of the second root.
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At a sale this week, a desk is being sold for $336. This is a 36% discount from the original price.
What is the original price?
Answers
Answer:
$525
Step-by-step explanation:
We can find the original price by using the formula x - 0.36x = 336, where x is the original price, 0.36 is the discount percentage (converted to decimal form), and 336 is the total amount paid after the discount is applied:
[tex]x-0.36x=336\\0.64x=336\\x=525[/tex]
To check and further understand why the formula works, we can simply apply the discount to the original price and subtract the number from the original price:
525 * 0.36 = 189
525 - 189 = 336
Modeling the first formula gives us:
525 - (0.36 * 525) = 336
525 - 189 = 336
How many diagonals does a regualt hexagon have?
Answers
Answer: 9 diagonals
Step-by-step explanation:
How many solutions does the equation 4y − 4y − 12 = 14 − 2 have? one zero two many
Answers
Answer:Many
Step-by-step explanation:
As the unknown cancels itself out, it could be absolutely any number. So there are many solutions.
What is the value of an AP: 50+45+40
Answers
Answer:
135 is correct answer of this question
What is the answer please
Answers
Answer:
m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131
m∠RST = 2x = 2(14) = 28
m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103
Step-by-step explanation:
m∠RSU = m∠RST + m∠TSU
10x - 9 = 2x + (2x + 75)
10x - 9 = 2x + 2x + 75
10x - 9 = 4x + 75
-4x +9 -4x +9
6x = 84
x = 14
m∠RSU = 10x - 9 = 10(14) - 9 = 140 - 9 = 131
m∠RST = 2x = 2(14) = 28
m∠TSU = 2x + 75 = 2(14) + 75 = 28 + 75 = 103
y=2x + 9
3x + 2y = 4
Answers
Answer:
The answer is: (x,y) = (-2,5)
In the circle below, if < B = 39 °, what is the measure of arc AB?
Answers
From my analysis, the answer is likely to be D. I don't have a formula to prove it though.
Answer: 78 degrees.
Step-by-step explanation:
The other guy is wrong don't listen to him.
