Write a paragraph proof to show that opposite sides of a parallelogram are congruent.

Mathematics

1 answer:

Nataliya [291]2 years ago

5 0

Answer:

intelligence

Step-by-step explanation:

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$\frac{x ^ 2-4 }{x ^ 2-1}*\frac{ x + 1 }{x ^ 2 +2 x}=\frac{x ^ 2-2^2 }{x ^ 2-1}*\frac{ x + 1 }{x(x +2 )} =\\ \\ \\ =\frac{(x -2)\not(x+2)^1 }{(x -1)\not(x+1)^1}*\frac{ \not(x + 1)^1 }{x\not(x +2)^1 }= \frac{ x-2 }{x(x-1)} \\ \\ \\ \\a^2-b^2 =(a-b)(a+b)$

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2 years ago

Please solve, thank you (and show steps): Solve for x: 5x + 22 = 27

IrinaVladis [17]

Given the equation, 5x + 22 = 27:

The goal is to isolate the variable. Hence, a few mathematical operations are necessary to solve for the value of x.

Start by subtracting 22 both sides:
5x + 22 - 22 = 27 - 22
5x + 0 = 5
5x = 5

Next, divide both sides by 5 to isolate and solve for the value of x:

5x/5 = 5/5

x = 1

In order to verify whether x = 1 satisfies the give equation, we must substitute its value into the given equation:

5x + 22 = 27

5(1) + 22 = 27
5 + 22 = 27
27 = 27 (True statement. This implies that x = 1 is the correct value that satisfies the equation).

Therefore, the correct answer is x = 1.

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