Given: ΔWXY is isosceles with legs WX and WY; ΔWVZ is isosceles with legs WV and WZ. Prove: ΔWXY ~ ΔWVZ Triangle W X Y is shown. Line segment Z V is drawn parallel to side Y X to form triangle W V Z. Complete the steps of the proof. ♣: ♦: ♠:

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

Two triangles are similar if the ratio of their corresponding sides are in the same proportion.

1. ΔWXY is isosceles with legs WX and WY      (given)

2. ΔWVZ is isosceles with legs WV and WZ     (given)

3. WX =  WY, WV = WZ  (definition of an isosceles triangle)

4. [tex]\frac{WX}{WY}=1\\\\[/tex]

[tex]\frac{WX}{WY}=\frac{WZ}{WZ} \ \ \[/tex] (definition of ≅)

5. (WZ)(WX) = (WY)(WZ)       (multiplication property)

6. (WZ)(WX) = (WY)(WV)  (substitution property).

7. [tex]\frac{WY}{WZ}=\frac{WX}{WV}[/tex]      (property of proportion)

8. ∠W = ∠W (reflexive property)

9. ΔWXY ~ ΔWVZ (side - angle - side similarity postulate)

Given: WXY Is Isosceles With Legs WX And WY; WVZ Is Isosceles With Legs WV And WZ. Prove: WXY ~ WVZ Triangle
Answer 2

Answer:

♣:  

✔ WX = WY; WV = WZ

♦:  

✔ substitution property

♠:  

✔ SAS similarity theorem

Step-by-step explanation:

just took it :)


Related Questions

ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)


2 pagesss

Answers

Answer:

this is your look it once

Help? Giving brain!!

Answers

Answer:

Natalie saved 16%

Step-by-step explanation:

Natalie saved 16% because 20 divided by 125 is 0.16

When we find percentages our goal is to get something like 0.24 which would mean 24% or 0.14 or 14% in this case it is perfect because we immediately see 0.16 or 16% leaving us with our answer, Natalie got 16% off her new phone.

Answer:

16%

Step-by-step explanation:

so that is the original number subtracted by a percentage, but that percentage is then multiplied by 125

125-(x/100)125=125-20

x=16

Hope that helps :)

Brandon discovered that his daily routine of buying a slice of pizza and a soda at lunch was costing him more than 18,000​$ per year. Choose the correct answer below. A. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about ​5$ a day. B. This statement makes sense because this would mean that a slice of pizza and a soda costs him about ​5$ a day. C. This statement makes sense because this would mean that a slice of pizza and a soda costs him about ​49$ a day. D. This statement does not make sense because this would mean that a slice of pizza and a soda costs him about 49 ​$ a day.

Answers

Answer:

This statement makes sense because this would mean that a slice of pizza and a soda costs him about ​$49 a day

Step-by-step explanation:

Given

The total spent on a slice of pizza and a soda is:

[tex]Cost > \$18000[/tex] per year

Required

Which of the options is true:

First, we calculate the daily amount spent on a slice of pizza and a soda.

Assume that the yearly cost is: $18000

The daily cost is:

[tex]Daily = \frac{\$18000}{365}[/tex]

[tex]Daily = \$49.32[/tex]

This means that he spends about $49 daily

Help, Help, Please
[tex] \sf find \: the \: value \: of \: \theta \: when \: \theta \: is \: acute\: angle[/tex]
[tex] \sf \cos^{2}(\theta) - \sin^{2}(\theta) =2-5 \cos(\theta) [/tex]
[tex]\text{note:explanation is a must}[/tex]

Answers

Answer:

θ = [tex]\frac{\pi }{3}[/tex] (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = [tex]\frac{1}{2}[/tex] , so

θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )

Answer:

[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:trigonometryPEMDASlet's solve:[tex] \sf \: rewrite \: \sin ^{2} ( \theta) \: as \: 1 - \cos ^{2} ( \theta) : \\ \sf \implies \: \cos ^{2} ( \theta) - (1 - \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: remove \: parentheses \: and \: change \: its \: sign : \\ \sf \implies \: \cos ^{2} ( \theta) - 1 + \cos ^{2} ( \theta)) = 2 - 5 \cos( \theta) [/tex][tex] \sf \: add : \\ \sf \implies \: 2\cos ^{2} ( \theta) - 1 = 2 - 5 \cos( \theta) [/tex][tex] \sf \: move \: left \: hand \: sides \: expression \: to \: right \: hand \: sides \: : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 5 \cos( \theta) - 1 -2 = 0[/tex][tex] \sf \: rewrite \: 5\cos( \theta) \: as \: 6 \cos( \theta) - \cos( \theta) : \\ \sf \implies \: 2\cos ^{2} ( \theta) + 6 \cos( \theta) - \cos( \theta) - 3 = 0[/tex][tex] \sf \:factor \: out \: 2 \cos( \theta) \: and \: - 1 : \\ \sf \implies \: 2\cos ( \theta)( \cos( \theta) + 3 ) -1( \cos( \theta) + 3) = 0[/tex][tex] \sf \: group: \\ \sf \implies \: (2\cos( \theta) - 1) ( \cos( \theta) + 3 ) = 0[/tex][tex] \sf \: rewrite \: as \: two \: seperate \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) - 1 = 0\\ \cos( \theta) + 3 = 0 \end{cases} [/tex][tex]\sf add \: 1 \: to \: the\: first \: equation \: and \: substract \: 3 \: from \: the \: second \: equation: \\ \sf \implies \: \begin{cases}2\cos( \theta) = 1\\ \cos( \theta) = - 3 \end{cases} [/tex]

[tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]

[tex] \sf substract \: both \: sides \: by \: 2 : \\ \implies\frac{ 2\cos( \theta) }{2} = \frac{1}{2} \\ \implies\cos( \theta) = \frac{1}{2} \\ \therefore \: \theta \: = {60}^{ \circ} [/tex]

Simplify
(3x^2y^3/z^3)^3

Answers

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

What is the measure of b

Answers

Answer:

abcd

Step-by-step explanation:

efg

What is the factorization of the polynomial below? 3х2 + 30x + 48​

Answers

Answer:

3(x+2)(x+8)

Step-by-step explanation:

Answer:

[tex]3(x+8)(x+2)[/tex]

Step-by-step explanation:

[tex]3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)[/tex]

Question 2 (1 point)
5B. A rectangle has perimeter 26 cm, and the length and width are both whole numbers. What is the greatest possible area this rectangle may
have in square cm?



Answers

42 square cm

Width=6
Length =7

pls help i’ll mark as brainliest

Answers

Answer:

It is 39.3

Step-by-step explanation:

You find the circumference using the formula 2πr so you get 20π.

and then you multiply that by 225/360 bc 360 is how much the whole circle is and the 225 part is the part you want to solve.

So 20π*225/360 is about 39.3

2x + 3 = -7 what is x ​

Answers

Answer: x=-5

Step-by-step explanation:

You would have to do the inverse to “undo” the equation.

So first you would do -7-3=-10

Then you would do -10/2=-5 to find x

Find the area of the regular 18 gon with radius 56 mm

Answers

Answer:

since there are 18 of these isosceles triangles in the polygon, then multiply this by 18 to get area of the polygon with 18 sides is equal to 28.56497087 square units. you can round this to as many desimal digits as required. each of those little triangle with a vertex angle of 20 degrees is an isosceles triangle.

A triangle has two sides of length 7 and 4. What is the smallest possible whole-number length for the third sid

Answers

Answer:

3......

Step-by-step explanation:

in triangle sum of two sides must be equal to third side......

hope this will help u.....

Raquel builds a model train that has 4 equal-sized rail cars. Each rail car has a passenger section and a cargo section. The cargo section for each rail car is 4 inches long. The total length of the model train is 48 inches. What is the length of the passenger section in each rail car?

Answers

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

The lengths of the sides of a triangle are 4, 5, 7. Classify the triangle as acute, right, or obtuse

Answers

Hey I just want you to know to have a bless day

Can someone plz help me

Answers

the area is 254.34 sq. ft.

Answer:

254.34 ft²

Step-by-step explanation:

diameter = 18 feet

radius = 18/2 = 9 feet

Area = pi x r²

= pi x 9²

= pi x 81

= 254.34 ft²

in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51

Answers

Your answer is:

C)  53

THANK YOU!!

Sidhdi

Help me plzzz i need helpppppp

Answers

Answer:

x = 5

Step-by-step explanation:

5 + 4 = 4 + 5

9 = 9

That means this statement is true.

Hope this helps!!~ ♥︎

sarah gets paid $100. she also gets a commission of $200 per lawn mower she sells. if her pay can be modeled as y = 200x + 100, how much money does she make if she sells 4 lawnmowers

Answers

You can download answer here

tinyurl.com/wpazsebu

Please help will give brainliest!

Answers

definitely the answer is c .

A school earns $70 from se ing 50 tickets for the school play. Each ticket costs the same price.
How much does the school earn for 1 ticket?

Answers

i believe it is $1.04 a ticket sorry if i am wrong

a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks How many ways can a person order a meal

Answers

To answer this just multiply 3 x 4 x 5. Try listing them out and cross out duplicates. Should be 60

A person can order a meal in 60 different ways.

What is the fundamental principle of multiplication?

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that a lunch menu has 3 sandwhiches, 4 types of chips, and 5 types of drinks.

Here we will use the combination of the data.

To answer this we just need to multiply 3 x 4 x 5.

3 x 4 x 5 =  60

Therefore, 60 ways can a person order a meal.

Learn more about multiplications;

https://brainly.com/question/14059007

#SPJ2

Help Please! would really appreciate it.

Answers

Answer:   x = 9

=========================================

The diagram shows:

base = 13height = x

Recall that the area of a parallelogram is equal to the base times height

area = base*height

We're told that the area is 117 square units, so that means 13x = 117.

Divide both sides by 13 to isolate x

13x = 117

13x/13 = 117/13

x = 9

The height of the parallelogram is 9

Note how:

area = base*height = 13*x = 13*9 = 117

which helps confirm we have the correct height value for x.

Please help! Will give Brainliest!

Answers

Answer:

A

Step-by-step explanation:

ANSWER FOR BRAINLIEST AND 70 POINTS!

Answers

The ordered pair representing the preimage and the image is below

preimage      image

k (2, 3)            K' (6, 1)

L (4, 2)            L' (8, -4)

Q (2, 2)           Q' (6, -4)

How to find the position of the image

The position of the image is calculated using the translation rule

(x, y) → (x + 4, y - 2)

preimage  Translation      image

k (2, 3)      (2 + 4, 3 - 2)     K' (6, 1)

L (4, 2)      (4 + 4, -2 - 2)     L' (8, -4)

Q (2, 2)     (2 + 4, -2 - 2)     Q' (6, -4)

Learn more on translation:

https://brainly.com/question/29321966

#SPJ1

Find the perimeter of A,B,C. Round nearest 10th

Answers

Answer:

5,9,2

Step-by-step explanation:

who wanna do my work

Answers

Answer:

which topic in math

Step-by-step explanation:

what grade are you in? hope it's not money

What subject is it????

plsss help i’ll give brainliest if you give a correct answer

Answers

Answer:

60

Step-by-step explanation:

40% = 0.4

150(0.4) = 60

Answer:

60

Step-by-step explanation:

150 x 40% = 60

Write the numbers in increasing order. NO LINKS!!!!!!!

Answers

this aint the answer but this is to help u in class when u cant use this app

Step-by-step explanation:

id recommend desmos scientific calc. you put the #'s in ex: 5/2 = 2.5 and it gives u the exact answer so u can put them in order easier also , use a lined paper sideways and put the numbers in the spaces to line it out iyk what i mean by that so you can number it from least to greatest easier !!! if ur confused ill try amd help u understand it morw but thats just how it helped me get how to do it


Are there similarities with the musical instruments of South Asian and Middle East? Explain.​​

Answers

nThe Middle East has been an important source of musical instruments for other parts of the world. Bagpipes, guitar, lute, oboe, tambourine, viols, and most zithers have a Middle Eastern origin.

The similarity is that both of them place value on the use of instrumental music. The South Asian and the Middle East is known to have a lot of musical instruments when compared to other parts of the world.

What are the musical instruments from South Asia and Middle East?

The musical Instruments that can be seen in Hindustani classical music are known to be the sitar, sarod, tambura, and others.

The instruments that is said to be used in Karnatak classical music are known to be the vina, mrdangam, violin and others

learn more about musical instruments from

https://brainly.com/question/3957958

If a=3 and b=7, find the value of
5a​

Answers

Answer: 15

Step-by-step explanation: All the information you need is a=3

5a is the same as saying 5xa or 5x3, so there you have it- 15

Hope this helps <3

Other Questions
BLOOD TYPE GENETICS!! HELP!! 5 Points if I manage to get the question up:) What are the two products of an acid base neutralization reaction? I only have 4 more minutes to turn this in PLS HELP An electric motor turns a flywheel through a drive belt that joins a pulley on the motor and a pulley that is rigidly attached to the flywheel. The flywheel is a solid disk with a mass of 70.5 kg and a diameter of 1.25 m. It turns on a frictionless axle. Its pulley has much smaller mass and a radius of 0.230 m. If the tension in the upper (taut) segment of the belt is 165 N, and the flywheel has a clockwise angular acceleration of 1.67 rad/s2, find the tension in the lower (slack) segment of the belt. Which type of persuasion is the following example? "He has a track recordof success with this company, culminating in some of our most acclaimedarchitecture to date and earning us Firm of the Year nine times in a row." The theory of Proposed that sudden and widespread disasters that result in mass extinctions followed by repopulation could explain why species change over time HELPP ASAPPPThe rectangular prism shown is made up of cubes that measure 1/8 inch on each side. What is the volume, in cubic inches, of the rectangular prism? Which expression is equivalent to the expression -3(4x - 2) - 2x?Answers: -8x-16x-14x - 2-14x + 6 please help will mark brainliest! Solve for x'if3 - 2x 35-*. Which expression is equal to 97/33 ? PLZ HELP ILL GIVE BRAINLIEST someone, pls help me the measures of the angles of a triangle are shown below. solve for x Which equation has infinitely many solutions?5(2x + 4) = 10x 125(2x + 4) = 10(x + 2)5(2x + 4) = 12x5(2x + 10) = 20(x + 1) what was one way mathematics was used in the renaissance can someone help me on this? help asap!! question in pic! will give brainliest! Use poem to solve for structure, language, and theme.