Answers
Answer:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠V ≅ ∠Y [tex]{}[/tex] Given
2. [tex]\overline {WZ}[/tex] bisects ∠VWY [tex]{}[/tex] Given
3. ∠VWZ = ∠YWZ [tex]{}[/tex] Definition of bisection of angle
4. [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex] [tex]{}[/tex] Reflexive property
5. ΔWVZ ≅ ΔWYZ [tex]{}[/tex] Angle-Angle-Side congruency postulate
6. [tex]\overline {VZ}[/tex] ≅ [tex]\overline {YZ}[/tex] [tex]{}[/tex] CPCTC postulate
Step-by-step explanation:
The two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
1. ∠V ≅ ∠Y [tex]{}[/tex] Given
2. [tex]\overline {WZ}[/tex] bisects ∠VWY [tex]{}[/tex] Given
3. Given that ∠VWY is bisected by [tex]\overline {WZ}[/tex], therefore ∠VWY is split into two equal angles, ∠VWZ and ∠YWZ, from which we have ∠VWZ = ∠YWZ [tex]{}[/tex] by the definition of bisection of angle ∠WXY by [tex]\overline{WZ}[/tex]
4. By reflexive property, a line is congruent to itself, therefore, [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex]
5. Given that two adjacent angles and a side adjacent to the two angles in ΔWVZ are congruent to the corresponding two adjacent angles and adjacent side in ΔWYZ, ΔWVZ is congruent to ΔWYZ by the Angle-Angle-Side (AAS) congruency postulate
6. Given that ΔWVZ ≅ ΔWYZ, and side [tex]\overline {VZ}[/tex] of ΔWVZ is the corresponding side to side [tex]\overline {YZ}[/tex] of ΔWYZ, therefore, [tex]\overline {VZ}[/tex] is congruent to [tex]\overline {YZ}[/tex] by the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.
Related Questions
0.1428571428571429 in the simplest form????
Answers
Answer:
0.14 or 0.142
Step-by-step explanation:
Which company has the highest charge per attendee?
Answers
Answer:
Ben's Bistro
Step-by-step explanation:
They charge $75 an attendee while Alonzo only charges $45 per attendee.
Ted weighs twice as much as Julie Mike was three times as much as Julie together Ted Mike and Julie weigh 210 lb what is the weight of each person
Answers
Answer: Ted weighs 70 Julie weighs 35 mike weighs 105
Step-by-step explanation:
I looked it up ;-)
Gaby says that is equivalent to . Do you agree or disagree? Explain your thinking.
Answers
Answer:
I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.
Step-by-step explanation:
idk if that's the same question i had, but that was the answer for mine. hehehe good luck.
is that on edge?
HEYYYY GUYYYSSS HELPP MEEE, ILL MARK YOU BRAINIEST. PLEEEAAASEEEE
Answers
Answer:
C = 100 + 40n
The independent variable is n (number of months) and the dependent variable is C ( total cost)
Step-by-step explanation:
Let the total cost of the fitness center = C
Given fixed cost = $100
given cost per month = $40
let number of month = n
The total cost of the fitness center in a given 'n' month is calculated as;
C = 100 + 40n
From the above equation;
the independent variable is n (number of months) and
the dependent variable is C ( total cost)
C = 100 + 40n The independent variable is n (number of months) and the dependent variable is C ( total cost)
Solve for x. Of the triangle
Answers
Answer:
9
Step-by-step explanation:
The total measure of a triagles angle is 180. First do 180-60-75. You should get 45. Next you do 45/5 and you get 9 which is your x value.
helpppppppppppppppppppppppppp
Answers
Answer:
um
Step-by-step explanation:
hehhhhhhhhhhhhhhhhhhhhhhhh
Evaluate the expression 9 + (7-4)2= 3.
6
18
0 12
PLS IT’S A TEST AND I DON’T KNOW THIS BRUH
Answers
Answer: 12
Step-by-step explanation:
7-4=3
3•2=6
6+9=12
I don't know what to do.
Answers
Answer:
the measure of all the angles within a triangle is = 180 degrees.
the two given angle measures are 70 and 90.
90+70= 160 making the remaining angle = 20 degrees
the two triangles are similar to each other, so they have the same angle measurements. making the measure of angle 1 = 20 degrees
-2 2 the second power
Answers
if it’s -2 to the 2nd power then it is -4
or if it’s -22 to the 2nd power then it is -484
Use triangles to find the sum of the interior angle measures of the polygon.
Answers
Answer:
360 degrees
Step-by-step explanation:
2 90 degress triangles 180= 1 triangle 360=2 triangles since there is 2 we can conclude that it is 360 degrees
3x + 5y = -7 slope for this equation
Answers
Answer:
I have attached the picture of the slope.
Answer:
slope = - [tex]\frac{3}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 5y = - 7 ( subtract 3x from both sides )
5y = - 3x - 7 ( divide all terms by 5 )
y = - [tex]\frac{3}{5}[/tex] x - [tex]\frac{7}{5}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{3}{5}[/tex]
Find the number that makes the ratio equivalent to 2:3
Answers
Answer:
i think the answer is 8/12 but im not sure though
Step-by-step explanation:
Answer:
An example of a ratio equivalent that is similar to 2:3 is 4:6.
Step-by-step explanation:
The second number after the : must be divisible 3 based on what it is given.
In which directions are the vertices translated, as indicated by matrix B?
3 units in the x direction, -2 units in the y direction, 1 unit in the z direction
3 units in the x direction, 3 units in the y direction, 3 unit in the z direction
* 4 units in the x direction, 0 units in the y direction, 2 unit in the z direction
4 units in the x direction, 6 units in the y direction, 5 unit in the z direction
Answers
Answer:
A) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction
Step-by-step explanation:
Edge2020
Answer: A.) 3 units in the x direction, -2 units in the y direction, 1 unit in the z direction
Step-by-step explanation: edge 2023
8.3 + 3.5y − 0.5(16y − 5)
Answers
what is (–5) 2 and how do i solve
Answers
Answer:
(−5)2
Multiply −5 and 2 to get −10.
−10
Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa
Answers
Answer:
x = 27
Step-by-step explanation:
∠ ABD and ∠ BDE are alternate angles and are congruent, then
∠ BDE = 72°
∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is
2x + 72 + 2x = 180
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27
28 is 12 less than k. k=?
Answers
Answer:
40
Step-by-step explanation:
How many people i helped proves im right
What operation do you use to solve for sales taxes?
O addition
O subtraction
O multiplication
O division
Answers
Answer:
multiplication
Step-by-step explanation:
When you multiply the following binomials, what is the linear term (the term with x)?
(X+3) (X-5)
Answers
Answer:
We conclude that 2x is the linear term with x.
Step-by-step explanation:
Given the expression
[tex]\left(x+3\right)\left(x-5\right)[/tex]
Multiplying the binomials
Apply FOIL method:
[tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex]
[tex]\left(x+3\right)\left(x-5\right)=xx+x\left(-5\right)+3x+3\left(-5\right)[/tex]
Apply +(-) = - rule
[tex]=xx-5x+3x-3\cdot \:5[/tex]
simplify
[tex]=x^2-2x-15[/tex]
Here, 2x is the linear term with x.
It is called a linear term because the exponent of the variable is raised to the power of 1.
In other words, the degree of the linear term is 1.
Therefore, we conclude that 2x is the linear term with x.
Find the area of the parallelogram.
Answers
Answer:
12? or 6-
Step-by-step explanation:
6 * 2
6*1
HURRY . tell me if these equations have 1 solution ,no solution or infinite solutions.
1. 3(x-6)+16=3x-1
2. 7(x-6)+7= 6x-3
3 . 2(x-7)+1=2x-13
Answers
Answer:
basta tirar o x e colocar oque sobrou boa noite espero ter ajudado
ITS EASY HALP PLEASE
Answers
Answer:
Your answer would be B.
Explanation:
You have 1 one hundred and 5 tens which would make 1.50. Next you are adding 6 tens which would be 0.60.
Put these together, and your answer would be 1.50 + 0.60 = 2.10!
Note:
I hope this helps and please correct me if I am wrong. :)
Answer: 140 + 60=210
Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in all?
Answers
Answer:
3 3/4 cups of sugar
Step-by-step explanation:
This graph shows the amount of charge left on my
computer, c, after I have been awake for h hours.
Enter an equation that
describes the relationship
between c and h.
Submit
Answers
Answer:
c= -20h + 90
Step-by-step explanation:
The equation that describes the relationship between c and h is:
[tex]c= -20h + 90[/tex]
We have the graph that shows the amount of charge left on computer, c, after h hours.
Let us consider two points (h, c) on the graph
(0,90) and (4.5, 0)
Now the equation of the line passing through two points
[tex]\frac{c-90}{h-0} =\frac{0-90}{4.5-0} \\c-90=-20h\\c=-20h+90[/tex]
So, the equation that describes the relationship between c and h is:
[tex]c= -20h + 90[/tex]
Learn more:https://brainly.com/question/16934180
Witch of the lines has a slope of 2?
Answers
Answer:
B
Step-by-step explanation:
Rise over run.
what are the coordinates?? please help!!
Answers
Answer:
-3 is on the x coordiante and 5 is in y coordinate
so, its always written as (x,y)
stay safe
can i have brainliest
Step-by-step explanation:
Help please. I will mark brainlist.
Answers
answer this fo me gg kid
Answers
Answer:
264 cubic centimeters
Step-by-step explanation:
264 cc
Have a nice day! I hope you do well on this assignment!
Bye, my friend!
:3
Write the expanded form of this expression:
18y + 24
Answers
Answer:
I use an app called Cymath to figure these kind of problems out i think it will help get your answer, it goes down step by step to show how it works.
Step-by-step explanation: