1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Allisa [31]
2 years ago
7

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. ♣: ♦: ♠:
Mathematics
2 answers:
Cloud [144]2 years ago
6 0

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. \frac{WX}{WY}=1\\\\

\frac{WX}{WY}=\frac{WZ}{WZ}  \ \ \ (definition of ≅)

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

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

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

8. ∠W = ∠W (reflexive property)

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

AveGali [126]2 years ago
3 0

Answer:

♣:  

✔ WX = WY; WV = WZ

♦:  

✔ substitution property

♠:  

✔ SAS similarity theorem

Step-by-step explanation:

just took it :)

You might be interested in
It takes Jack Frost 5 minutes to fly 35 minutes with the wind. It takes him 7 minutes to go 35 minutes against the wind. Determi
dezoksy [38]

Answer:his speed in still air is 6 miles per minute.

the speed of the wind is 1 mile per minute.

Step-by-step explanation:

Let x represent his speed in still air.

Let y represent the speed of the wind.

It takes Jack Frost 5 minutes to fly 35 miles with the wind. This means that his total speed would be x + y

Distance = speed × time

It means that

35 = 5(x + y)

35 = 5x + 5y - - - - - - - - - - -1

It takes him 7 minutes to go 35 miles against the wind. This means that his total speed would be x - y

It means that

35 = 7(x - y)

35 = 7x - 7y - - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 5, it becomes

245 = 35x + 35y

175 = 35x - 35y

Adding both equations, it becomes

420 = 70x

x = 420/70 = 6

Substituting x = 6 into equation 1, it becomes

35 = 5 × 6 + 5y

35 = 30 + 5y

5y = 35 - 30 = 5

y = 5/5 = 1

5 0
3 years ago
An investment account earns 4% per year compounded annually. If the initial investment was $4,000.00, how much is in the account
Alisiya [41]
The account is $4,480 after 3 years with a 4% investment
3 0
3 years ago
In Noels survey, 3 more people said they enjoyed volleyball than said they like soccer, and 5 more people enjoyed basketball tha
ExtremeBDS [4]

4 people liked soccer.

4 people liked tennis.

7 people like volleyball.

9 people like basketball.

3 0
3 years ago
Find the value of x so that the function has the givin value<br><br> n(x)=2x+7, n(x)=17
Sunny_sXe [5.5K]

Answer: x=5

Step-by-step explanation:

Substitute 17 for n(x)

17=2x+7

Subtract 7 from both sides

10=2x

Divide each side by 2 to get the x by itself

x=5

6 0
2 years ago
A cube shaped terrarium has a volume of 27/64 cubic feet. What is the length of its sides?
Dafna1 [17]
A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to s^3 where s is the side length.

s^3 =  \frac{27}{64}

To solve for s, take the cube root of both sides.

\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }

s= \frac{3}{4} feet
8 0
3 years ago
Other questions:
  • there are 18 pieces of chalk. The ratio if chalk that is yellow to chalk that is not yellow is 1:2. How many pieces of chalk are
    14·1 answer
  • You will be charged 10.5% interest on a loan of 678 how much interest will you pay on the loan
    7·2 answers
  • Explain how place value could be used to find the difference of 4.23 and 2.75
    13·1 answer
  • Four friends buy 36 cookies for 12$.Each person contributes the following amount of money.
    7·1 answer
  • Find the simplest form of 4/6
    9·1 answer
  • If a triangle has a base of 5 cm and a height of 6 cm what’s it’s area?
    7·1 answer
  • How do you do this i need help asap? 4x⁴y⁰×2y= ​
    11·1 answer
  • Plz help!!!!
    15·1 answer
  • PLSSS HELP<br>tge question is in the picture​
    11·1 answer
  • Please help i am super confused and it is worth a lot of points !!!!<br><br> Find the measure of
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!