Mai has proven that triangle WYZ is congruent to triangle WYX using the Side-Side-Side Triangle Congruence Theorem. Since corresponding parts of
congruent triangles are congruent, angle ZWY is congruent to angle XWY and angle ZYW is congruent to angle XYW.
True or False: Mai can now conclude that diagonal WY bisects angles ZWX and ZYX.
True
O False
Answers
It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX
Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:
Diagonal WY bisects angles ZWX and ZYX because:
all corresponding parts of both triangles are congruent. (Option A).
If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.
Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.
If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).
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Related Questions
use eulers method with step size 0.5 to compute the approximate y values y1 y2 y3 and y4 of the solution of the intitial value problem y'=y 2x y(3)=0
Answers
Answer:
[tex]y_1=\boxed{-3}[/tex]
[tex]y_2=\boxed{-8}[/tex]
[tex]y_3=\boxed{-16}[/tex]
[tex]y_4=\boxed{-28.5}[/tex]
Step-by-step explanation:
Given:
[tex]y'=y-2x, \;\;y(3)=0[/tex][tex]h=0.5[/tex]Use Euler’s method with h = 0.5 to find approximate values for the solution of the initial value problem:
[tex]y'=y-2x, \;\;y(3)=0[/tex]
at x = 3.5, 4, 4.5, 5.
Therefore:
[tex]f(x,y)=y-2x, \quad x_0=3 \;\;\text{and}\; \;y_0=0[/tex]
Euler's Method
[tex]\boxed{y_{n+1}=y_n+hf(x_n,y_n)}[/tex]
[tex]\begin{aligned}\implies y_1&=y_0+hf(x_0,y_0)\\&=0+(0.5)f(3,0)\\&=0+0.5[0-2(3)]\\&=0+0.5(-6)\\&=-3\end{aligned}[/tex]
[tex]\begin{aligned}\implies y_2&=y_1+hf(x_1,y_1)\\&=-3+(0.5)f(3.5,-3)\\&=-3+0.5[-3-2(3.5)]\\&=-3+0.5(-10)\\&=-3-5\\&=-8\end{aligned}[/tex]
[tex]\begin{aligned}\implies y_3&=y_2+hf(x_2,y_2)\\&=-8+(0.5)f(4,-8)\\&=-8+0.5[-8-2(4)]\\&=-8+0.5(-16)\\&=-8-8\\&=-16\end{aligned}[/tex]
[tex]\begin{aligned}\implies y_4&=y_3+hf(x_3,y_3)\\&=-16+(0.5)f(4.5,-16)\\&=-16+0.5[-16-2(4.5)]\\&=-16+0.5(-25)\\&=-16-12.5\\&=-28.5\end{aligned}[/tex]
[tex]\begin{array}{|c|c|c|}\cline{1-3} \text{Step}\;(n) & x_n&y_n\\\cline{1-3} 0&3&0\\\cline{1-3} 1&3.5&-3\\\cline{1-3} 2&4&-8\\\cline{1-3} 3&4.5&-16\\\cline{1-3} 4&5&-28.5\\\cline{1-3} \end{array}[/tex]
Factorise this expression as fully as possible
2xy^2 + 8y
Answers
2y(xy+4)
Hope this answers your question!
Answer:
2y(xy+4)
Step-by-step explanation:
First, Distribute
you get 2y(xy+4) because you have to isolate the like terms than find a gcf of the terms
Which equation is equivalent to the given equation?
x²- 10x = 14
-
(x - 10)² =-86
(x - 5)² = 39
(x - 5)²= = -11
(x-10)²= 114
Answers
If A = (6,7,8,11) and B = {(7,6,7,9), list the elements of A U B.
Answers
The elements of AUB is {6, 7, 8, 9, 11} when A = {6,7,8,11} and B = {7,6,7,9}.
According to the question,
We have the following information:
A = {6,7,8,11} and B = {7,6,7,9}
Now, we know that the elements of AUB means that all the elements which are there in both sets but the elements are not supposed to be repeated.
(Please that AUB can also be found using Venn diagram and questions are asked where the question has to be solved by making Venn diagram and representing all the elements in it.)
So, we have the following expression:
AUB = {6,7,8,9,11}
(Now, note that numbers however repeated in sets are not repeated here.)
Hence, the elements of AUB is {6, 7, 8, 9, 11} when A = {6,7,8,11} and B = {7,6,7,9}.
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How can you determine if an inverse is a function?
Answers
please help me and please hurry. also please show working clearly!!
Answers
Answer:
The limit does not exist
Step-by-step explanation:
This is because the left hand limit is 3,we know this because as the graph approaches from the left side of the Cartesian plan the open dot is on 3
and the right hand limit is 1 because as the graph approaches the X=1 from the right hand side the open dot lands on 1
Since the left hand limit doesn't equal to right hand limit,the overall limit of x=1 doesn't exist.
Solve the equation below for x
Cx — 4 = 7
Answers
The equation for the value of x will be 11/C.
According to the question,
We have the following equation:
Cx — 4 = 7
Now, we can easily find the value of x from this equation by following the given steps.
We will first add 4 on both sides of the equation:
Cx = 7+4
Adding the two numbers on the right hand side:
Cx = 11
Dividing by C on both sides of the equation:
x = 11/C
(More to know: we can now find the value of x if the value of C is given.)
Hence, the equation for the value of x will be 11/C.
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A movie theater sends out a coupon for 54% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. Use pencil and paper. Draw a graph of the equation and explain why the line should only be in the first quadrant.
Answers
The equation for the representation of the given situation will be
y = x - 0.54x, and the graph of the equation should only be in the first quadrant because x and y is representing a price which can't be negative.
What is an equation?An equation is a statement that says that the value of two mathematical expressions is equal.
Given that, a cinema sends out a coupon for 54% off the price of a ticket.
The equation for this situation will be y = x - 0.54x,
And the line of this equation will always lie in the first quadrant because values of x and y in the first quadrant are always positive, and here x and y are prices which can't be negative.
Hence, the graph of the equation should only be in the first quadrant because x and y is representing a price which can't be negative and The equation for the representation of the given situation will be
y = x - 0.54x
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An orange grove manager uses two different sized buckets to load oranges into a truck. The first bucket can transport a pound of oranges, and the second bucket can transport
y pounds of oranges. The first bucket is filled up G times and the second bucket is filled up I times The total amount of oranges. I that have been loaded can be found usina
the equation T = Ga + Hy.
Solve for H.
T + Ge
O H
y
O H= y(T - Gx)
T
0 H = Gx+y
T_ Cr
O H
2
Answers
On solving for [H], we get -
H = (T - Ga)/y
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have the following equation -
T = Ga + Hy
We have -
T = Ga + Hy
Solving for [H], we get -
Hy = T - Ga
H = (T - Ga)/y
Therefore, On solving for [H], we get -
H = (T - Ga)/y
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Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2x + y = -5. Include your work for each step in your final answer. Type your answer in the box provided to submit your solution.
a) Using variables, write out the formula for the standard form of the equation.
b) Determine the slope of the line.
c) Write the point-slope form of the line.
d) Using the properties of algebra, rearrange the equation into the standard form.
Answers
The slope of the line is - 2 with the equation as 2 x + y - 2 = 0
We are given that:
y intercept of the line = 2
Point is (0, 2)
It is parallel to the line 2 x + y = - 5
Slope of line 2 x + y = - 5:
y' = - 2
m = - 2
Slope of parallel lines are equal
m = m'
m' = - 2
Equation of the line:
y - y₁ = m( x - x₁)
y - 2 = - 2( x - 0)
y - 2 = - 2 x
2 x + y - 2 = 0
a) standard form of the equation = 2 x + y - 2 = 0
b) slope of the line = m' = - 2
c) point-slope form = (y - 2) / (x - 0) = - 2
d) Properties of algebra used = cross multiplication and simplification.
Therefore, we get that, the slope of the line is - 2 with the equation as 2 x + y - 2 = 0
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Which number can each term of the equation be multiplied by to eliminate the fractions before solving?
6-3x+=x+5
4
2
6
12
10
Answers
If you multiply by 12 you will get rid of all your fractions.
What are linear equations?In mathematics, a linear equation is one that may be written in the form where the variables are alphabets, and the coefficients are frequently real integers. An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
It is rather simple to locate both intercepts when an equation is stated in this way (x and y).
The given linear equation is
6 - (3/4)x + (1/3) = (1/2)x + 5
In this equation the fractions are
(3/4), (1/3) and (1/2)
Take the LCM of 4, 3, and 2
LCM(4, 3, 2) = 12
So, if we multiply the equation with the number 12 we can eliminate the fractions.
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in each of the following lines, underline the smallest number and put a ring round the largest number
15/3, 12/6, 27/9, 8/2, 10/10
Answers
Answer:
this is how to do it. Now find the answer
Step-by-step explanation:
find the common factor for the denominators, which is 30.
then × the numerator by however much you ×tl the denominator by to get 30
Write the number in standard form.
5.01 times 10 superscript negative 3 baseline
A. 5,010
B. 0.501
C. 0.0501
D. 0.00501
Answers
Answer:
The correct answer is D
Step-by-step explanation:
the negative power shows that on the exponent shows that the value is small and is being simplified.
When ever there is a negative power we increase zeros with respect to the exponent value.
A Not secure admin248 acellus.com/StudentFunctions/interface/acell
Parallel Lines
Inear Functions and Systems
A line is parallel to y = -2x - 3 and
intersects the point (5, 4). What is
the equation of this parallel line?
Start by entering this into point-slope form.
y -4 = -2(x-[?])
Answers
Anthony claims that A KLM is an isosceles triangle. Find the length of KM using the distance formula.
Answers
Answer:√53 or 7.28010988928
Step-by-step explanation:
solve the following inequality
x³-5x² < 4x-20
Answers
The final solution is all the values that make (x+5) (x+2) (x−2)=0 true.
x = −5,−2,2
What is factorization?
Factorization, also known as factoring, is the process of breaking down an object (such as a number, a matrix, or a polynomial) into a product of another object, or factors, which when multiplied together yield the original object (such as the number or matrix) in question.
What is inequality?
A relationship between two expressions or values that are not equal to each other is called an inequality.
Here, we have
Factor out the greatest common factor from each group
x²(x+5) - 4(x+5) = 0
Factor the polynomial by factoring out the greatest common factor, (x+5)
(x+5)(x²-4) = 0
Rewrite 4 as 2².
(x+5)(x²-2²) = 0
(x+5)(x+2)(x-2) = 0
Now,
x+5 = 0
x-2 = 0
x+2 = 0
set x+5 =0 then we get
x = -5
set x+2 =0 then we get
x = -2
set x-2 =0 then we get
x = 2
Hence, the final solution is all the values that make (x+5) (x+2) (x−2)=0 true.
x = −5,−2,2
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Find her mistake and it’s due today
Answers
Answer:
Step-by-step explanation:
Which model represents the sum of 4 + 12?
Answers
Answer: 16
Step-by-step explanation:
Imagine you had 4 apples and someone gave you 12 more. You would have 16 apples.
Select all the equations that have {4} as its solution set.
Responses
79−3x=12x+19
7−x=12x
x2+3=10x−21
5 + 2x = 3x + 3
SELECT ALL, THIS IS MULTIPLE CHOICE.
Answers
Answers:
A. 79 − 3x = 12x + 19
B. 7 − x = 12/x
C. x^2 + 3 = 10x − 21
4x + 10y = 2
x - 10y = 13
Answers
Answer:
x = 3
y = -1
Step-by-step explanation:
4x + 10y = 2 Eq. 1
x - 10y = 13 Eq. 2
The result of the sum of Eq. 1 and Eq. 2 is:
4x + x = 5x
10y - 10y = 0y = 0
2 + 13 = 15
Then the result is:
5x = 15
x = 15/5
x = 3
From Eq. 2:
x - 10y = 13
3 - 10y = 13
-10y = 13 - 3
-10y = 10
y = 10/-10
y = -1
Check:
From Eq. 1:
4x + 10y = 2
4*3 + 10*-1 = 2
12 - 10 = 2
The solution of the equation is that the value of x = 3 and y = -1.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The equation will be solved as,
4x + 10y = 2 Eq. 1
x - 10y = 13 Eq. 2
The result of the sum of Eq. 1 and Eq. 2 is:
4x + x = 5x
10y - 10y = 0y = 0
2 + 13 = 15
Then the result is:
5x = 15
x = 15/5
x = 3
From Eq. 2:
x - 10y = 13
3 - 10y = 13
-10y = 13 - 3
-10y = 10
y = 10/-10
y = -1
Therefore, the solution of the equation is that the value of x = 3 and y = -1.
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Is f = 9 a solution to this equation?
4f = 36
Yes or no
Answers
4f/4 = f
36/4= 9
4f=36
f= 9
Have someone read this to you while your eyes are closed and answer the question in the end. 8 x 5 - 23 + 21 x 6 + 100 - 20 x 5 = ????
Answers
Answer:
143
Step-by-step explanation:
WILL GIVE BRAINLiST, RATE IT 5 STARS, AND HEART IT FOR CREATIVE WRITING HELP. PLEASE ANSWER BOTH QUESTIONS, IF ITS ONE QUESTION I CAN DO THAT TOO!
1. What are 5 observations you made about the setting of “Avatar” after watching the trailer? (Play the first avatar movie trailer)
2. Based on the trailer, what is one central theme of the movie? How does the setting contribute to this theme? (Play the first avatar movie trailer)
when answering, answer it like 1= and 2=
Answers
Answer: Read explanation
Step-by-step explanation: Observations of setting: Humanoid beings. Earth-like world. A human base to collect information. Forest like setting. Bird-like transportation creatures.
Theme ideas: Man a part of research group enters an avatar of beings to collect information on this world. Research group makes an invasion on these creatures home land.
Make any corrections if you want! Make it more comfortable to your style!
Seven factory workers take part in a charity swim. Altogether they swim 179 lengths of a pool. How many lengths does each worker swim on average?
Answers
The length of each factory worker on average is 25.57 lengths
How to determine the length of each on average?From the question, we have the following parameters that can be used in our computation:
Total length of the pool = 179 lengths
Number of workers = 7
The length of each on average is calculated as
Average length = Total length of the pool/Number of workers
Substitute the known values in the above equation
So, we have the following equation
Average length = 179/7
Evaluate the quotient
Average length = 25.57
Hence, the average length is 25.57 lengths
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consider the line y= 5/2x+5
1. find the equation of the line that is perpendicular to this line and passes through the point (-5,6)
2. find the equation of the line that is parallel to this line and passes through the point (-5,6)
Answers
Answer:
Step-by-step explanation:
1
y-6 = -2/5(x-(-5)
y - 6 = -2/5(x+5)
y -6 = -2/5 x -2
y = -2/5 x -2 + 6
y = -2/5 x + 4
2
y-6 = 5/2 (x-(-5)
y-6 = 5/2 (x+5)
y - 6 = 5/2 x + 25/2
y = 5/2 x + 25/2 + 6
y = 5/2 x + (25+12)/2
y = 5/2 x + 37/2
Find the slope of the line using rise/run formula please help
Answers
Answer:
20/5 is the slope, or 4.
Step-by-step explanation:
It went up 20 units on the y axis, and over 5 units on the x-axis. So 20/5 is the slope.
-Hope this helped
Can you answer this question?
Answers
Answer: y= 3 times 2 to the power x. Second answer
Step-by-step explanation:
if you plug in 0 for x, y= 3x 1= 3
if you plug in 1 for x y= 3 x 2 = 6
Look at the x values and y values
(0,3) and (1, 6) on the graph. It matches answer number 2. Remember, 2 raised to the power 0 = 1 and 3 times 1 = 3. And 2 raised to the power 1 =2 and 3 times 2 = 6.
Simplfy and solve 13+7x66
Answers
Answer:475
George invest $500 in his friend's startup company. his friend agrees to give him 8% of the original investment each year for the next 3 years. write a linear function for this situation.
Answers
The linear function for the situation is :-
Amount at the end of 3 years = Original investment + original investment*Rate*Time/100
It is given in the question that:-
Investment of George's friend in startup company = $ 500.
Interest percent = 8 %
Time period of investment = 3 years
We have to find the linear function for this situation.
As this interest is on original investment, the interest will be simple.
Hence,
The linear function for the situation will be :-
Amount at the end of 3 years= Original investment + original investment*Rate*Time/100
Amount at the end of 3 years = 500 + 500*8*3/100 = 500 + 120 = $ 620
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please help me with these it is due tomm.
Answers
Answer:
1.) 10: 1, 2, 5, 10.
15: 1, 3, 5, 15,
Answer would be 5.
2.) 18: 1, 2, 3, 6, 9, 18
21: 1, 3, 7, 21
Answer would be 3.
3.) 12: 1, 2, 3, 4, 6, 12.
24: 1, 2, 3, 4, 6, 8, 12, 24.
Answer would be 12.
4.) 8: 1, 2, 4, 8.
20: 1, 2, 4, 5, 10, 20.
Answer would be 4.
5.) 14: 1, 2, 7, 14.
28: 1, 2, 4, 7, 14, 28.
Answer would be 14.
Step-by-step explanation:
Using the listing method, you would first list the common factors of each number, to which that number could be multiplied by. Then, you would search for the greatest common factor.