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
barxatty [35]
3 years ago
14

Prove that if a quadrilateral has four equal sides and one right angle, then the quadrilateral is a square

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0
So lets ABCD are the sides of the square and AB=CD, AC=BD and the Angle ABC = 90 so therefore by making a diagonal we can use the SAS or SSS congruency for two triangles, so we can prove two triangles are equal and that is why the shape is square.
You might be interested in
I need Geometry help
Anvisha [2.4K]
Yes that is correct
answer
AAS congruence theorem
<M = <P
<MNR = <PNQ
RN = NQ
3 0
3 years ago
1. Which of the following has a value of 24?
Alja [10]
D has a value of 24.
V121 is 11, so 13 + 11 is 24
6 0
3 years ago
Read 2 more answers
Your job pays $8 an hour. Write a variable expression for your pay in dollars for working h hours
puteri [66]
Lets say p is for pay. An expression for you would be p=8h because you would get 8 dollars per hour that you work. Then you would replace h with however many hours you worked. Ex: p=8h. You worked 12 hours, so 8 x 12 would equal 96, so you would get 96 dollars as your total pay, or p.
7 0
3 years ago
An art studio purchased a triangular plot of land in a town and constructed a new building whose base is in the shape of a right
Vinvika [58]

Answer:

The sides are 30 ft, 40 ft and 50 ft.

Step-by-step explanation:

The length of the triangle are as follows x - 4 , x + 6 and 2x - 18 . The hypotenuse should be 2x - 18 . The hypotenuse is the longest side of a right angle triangle.

Using Pythagoras theorem the length of the sides can be found.

a² + b² = c²

(x - 4)² + (x + 6)² = (2x - 18)²

(x - 4)(x - 4) + (x + 6)(x + 6) = (2x - 18)(2x - 18)

x²- 4x - 4x + 16 + x² + 6x + 6x + 36 = 4x² - 36x - 36x + 324

2x² - 8x + 12x + 16 + 36 = 4x² - 72x +  324

2x² + 4x + 52 = 4x² - 72x +  324

2x² - 4x² + 4x + 72x + 52 - 324 = 0

-2x² + 76x - 272 = 0

2x² - 76x + 272 = 0

divide through by 2

x² - 38x + 136 = 0

find the number you can multiply to give you 136 and add to give you - 38. The number are - 34 and - 4.

x² - 4x - 34x + 136 = 0

x(x - 4) - 34(x - 4) = 0

(x - 4)(x - 34 ) = 0

x = 4 or 34

we can only use 34 since using 4 will result to negative number.

x - 4  = 34 - 4 = 30 ft

x + 6 = 34 + 6 = 40 ft

2x - 18 = 68 - 18 = 50 ft

6 0
2 years ago
If f(x) = 2x+4, which of the following is the inverse of f(x)?
creativ13 [48]

Answer:

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

Step-by-step explanation:

The given function is

f(x) = 2x + 4Let

y = 2x + 4

Interchange x and y.

x = 2y + 4

Solve for y,

x - 4 = 2y

Divide both sides by 2

y =  \frac{x}{2}  - 2

Therefore;

{f}^{ - 1} (x)=  \frac{x}{2}  - 2

3 0
2 years ago
Other questions:
  • Which ordered pair is a solution of the equation?
    10·2 answers
  • Which is the equation of a line that has a slope of One-half and passes through point (2, –3)?
    15·2 answers
  • HELP ME PLZZZZZZZZZ :( WILL GIVE A NICE PRETTY BRAINLIEST ;) LOOK BELOW TO ANSWER THE QUESTION
    5·2 answers
  • A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2
    11·2 answers
  • Write an algebraic expression that represents A less than 27.
    9·1 answer
  • A die is rolled if the number rolled is less than 5 what is the probability that it is the bumber 2?
    14·1 answer
  • Calculate the density of a rock that has a mass of 454 g and a volume of 100.0 cm3.
    6·1 answer
  • Geometry help!! How did they get this answer?
    12·1 answer
  • What is the answer to 4819 / 68<br>​
    11·2 answers
  • Can someone help me please?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!