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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.
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6a-2(4a-5)=40<br>How do I solve it​
Elza [17]

Answer:

Distribute, then combine like terms, subtract 10 from both sides of the equation, simplify, divide both sides of the equation by the same term, and simplify to get your solution.

Step-by-step explanation:

1.) Distribute

6−2(4−5)=40

6−8+10=40

2.) Combine like terms

6a-8a+10=40

-2a+10=40

3.) Subtract 10 from both sides of the equation

-2a+10=40

-2a+10-10=40-10

4.) Simplify

subtract the numbers

-2a+10-10=40-10

-2a=40-10

subtract the numbers

-2a=40-10

-2a=30

-2a=30

5.) Divide both sides of the equation by the same term

-2a=30

\frac{-2a}{-2} =\frac{30}{-2}

6.) Simplify

cancel terms that are in both the numerator or denominator

\frac{-2a}{-2} =\frac{30}{-2}

a=\frac{30}{-2}

Divide the numbers

a=\frac{30}{-2}

a=-15

a=-15

7.) Solution

a=-15

8 0
3 years ago
Dwayne is trying to find the fraction represented by the repeating decimal 0.5. He completes the three steps shown:
Studentka2010 [4]

Answer:

<h2>C. 5/9</h2><h2 />

Step-by-step explanation:

10x = 5.5

<u>   -x = 0.5</u>

9x = 5

x = 5/9

therefore, the answer is C. 5/9

8 0
2 years ago
List three words or phrases used in real life that indicate positive numbers.
maksim [4K]
Hi so I’m going to answer your problem which is “List three words or phrases used in real life that indicate positive numbers,” so let’s get right into it!

You can it as temperature too, today is 80+ degrees outside!

You can also use an the floors of which an elevator takes you in which direction it takes upwards or downwards like “take the elevator 4 floors up”

You can also use gas as a thing we use in real life, it also indicates numbers

Like gas is __ a gallon cheaper this week
3 0
3 years ago
What is the factorization of the trinomial below?<br> 12x2-x-35
Sidana [21]

Answer:

(4x−7)⋅(3x+5)

Step-by-step explanation:

Its that because of the steps that you learn

5 0
3 years ago
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Find the value of 4^2+6^2 .20 52 100
suter [353]

I think your questions is incorrect

7 0
3 years ago
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