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almond37 [142]
3 years ago
7

Which statement can be used to prove that a given parallelogram is a rectangle?

Mathematics
2 answers:
RSB [31]3 years ago
7 0

The <em>correct answer</em> is:


The diagonals of the parallelogram are congruent.


Explanation:


In every parallelogram, opposite angles are congruent. This would not mean it is a rectangle.


Consecutive sides of a parallelogram are only congruent if the parallelogram is a rhombus or a square; this would not be a rectangle.


The diagonals of every parallelogram bisect each other. This would not mean it is a rectangle.


The diagonals of a rectangle bisect each other. If we know this is true about our parallelogram, this means our parallelogram is a rectangle.

Andru [333]3 years ago
3 0
The correct answer of the given question above would be the last option. The statement that can be used to prove that a given parallelogram is a rectangle is the diagonals of the parallelogram are congruent. <span>A </span>rectangle<span> is a parallelogram with four right angles. Hope this answer helps.</span>
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The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represent
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The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given expression is 8x² − 144x + 864

Let y = 8x² − 144x + 864

also,  y - 864 = 8x² - 144x

by Extracting common factor 8 on the right side

y - 864 = 8(x² - 18x)

Add (18/2)² on both sides, we get

y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)

y - 864 + 648 = 8 (x² - 8x + 9)

on simplification

y - 216 = 8 (x - 9)²

y = 8(x - 9)² + 216

therefore, y = 8 (x - 9)² + 216

The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.

Learn more about a quadratic equation here:

brainly.com/question/2263981

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Step-by-step explanation:

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Therefore, (x + 4) & (x - 5) are factors.

Required quadratic equation is given as:

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Solve the equation. 10(x + 4) = 30 –1 3 –37 7
Flauer [41]

Assignment: \bold{Solve \ Equation: \ 10\left(x+4\right)=30}

<><><><><>

Answer: \boxed{\bold{x=-1}}

<><><><><>

Explanation: \downarrow\downarrow\downarrow

<><><><><>

[ Step One ] Divide Both Sides By 10

\bold{\frac{10\left(x+4\right)}{10}=\frac{30}{10}}

[ Step Two ] Simplify

\bold{x+4=3}

[ Step Three ] Subtract 4 From Both Sides

\bold{x+4-4=3-4}

[ Step Four ] Simplify

\bold{x=-1}

<><><><><><><>

\bold{\rightarrow Mordancy \leftarrow}

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