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KengaRu [80]
3 years ago
5

Proving the Parallelogram Side Theorem

Mathematics
1 answer:
sasho [114]3 years ago
5 0

Answer:

To prove a quadrilateral is a parallelogram, you must use one of these five ways.

Prove that both pairs of opposite sides are parallel.

Prove that both pairs of opposite sides are congruent.

Prove that one pair of opposite sides is both congruent and parallel.

Prove that the diagonals bisect each other.

Step-by-step explanation:

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The area for a circle with a diameter of 8 cm is 50.24 cm². The area of a circle with a radius of 3 cm is 28.26 cm². 50.24 - 28.26 =  21.98 cm. So the difference is 21.98 cm.
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Triangle RST has vertices located at R (2,3), S (4,4), and T (5,0).
Mazyrski [523]

The slope of RS, RT, and ST are 1/2, -1 and -4 respectively

<h3>Triangle and slopes</h3>

Given the folllowing coordinates R (2,3), S (4,4), and T (5,0) os triangle RST

The formula for calculating the distance is expressed as:

  • D = √(x2-x1)²+(y2-y1)²

For length RS:

D = √(4-3)²+(4-2)²

RS = √1+4
RS= √5

For length RS:

RT = √(0-3)²+(5-2)²

RT = √9+9
RT= 3√2

For length ST:

D = √(0-4)²+(5-4)²

ST = √16+1
ST= √17

Since all the sides are different, the triangle is a scalene triangle.

For the slope of the sides

For the side RS;

Slope = 4-3/4-2

Slope of RS = 1/2

For the side RT:

Slope = 0-3/5-2

Slope of RT = -3/3 = -1

For the side ST

Slope of ST = 0-4/5-4
Slope of ST = -4/1 = -4

Hence the slope of RS, RT, and ST are 1/2, -1 and -4 respectively

Learn more on slope and distance here: brainly.com/question/2010229

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What property was applied to solve the equation below? Negative StartFraction 3 over 8 EndFraction x = 48 Negative StartFraction
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Step-by-step explanation:

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-\frac{3}{8}x=48

Reason: Given

Multiply by -8/3 on both sides

-\frac{8}{3}\times -\frac{3}{8}x=-\frac{8}{3}\times 48

By using multiplication property of equality.

x=\frac{-384}{3}

After simplification

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Answer:

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Step-by-step explanation:

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