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Reptile [31]
3 years ago
11

The figure shows square KLMN. Which of the following conditions satisfy the criteria for squares?

Mathematics
2 answers:
BartSMP [9]3 years ago
7 0

Answer:

First option: SquareKLMN with diagonals LN and KM.

Fifth option: Segment LMis parallel to segment KN.

Step-by-step explanation:

We know that a square is quadriteral whose sides are equal.

By definition, a square has the following properties:

1) Its four sides are congruent.

2) The diagonals are congruent.

3) The angles formed by the intersection of the diagonals measure 90 degrees.

4) The opposite sides are parallel.

5) Each internal angle measures 90 degrees.

Notice in the figure that:

  • The diagonals of the square  KLMN are: LN and KM.

  • LM and KN are opposite sides, therefore, they are parallel.
WARRIOR [948]3 years ago
6 0

Answer:

<h2>Segment LM is parallel to segment KN.</h2>

Step-by-step explanation:

In the given square KLMN with diagonals LN and KM, the correct condition which satisfy the given figure is option D, <em>segment LM is parallel to segment KN. </em>

The definition of a square is <em>"a parallelogram which has all sides equal". </em>And the definition of a parallelogram is <em>"a four-side figure which opposite sides are parallel". </em>

Therefore, if the square is a parallelogram, then its opposite sides are parallel and equal. From this deduction we have that segmenr LM is parallel and equal to segment KN, also segment LK is parallel and equal to MN.

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7(4x - 2) - 4(2x - 8)
vesna_86 [32]

Answer:

20x + 18

Step-by-step explanation:

We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.

In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:

7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14

In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:

4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32

Now, we have:

28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18

The answer is 20x + 18.

6 0
2 years ago
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777dan777 [17]

Answer:

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Step-by-step explanation:

Compound Interest Has a Specific Formula:

This case is Exponential Growth.

Formula: y= ab^x

You need to set up the equation.

First we need to define the rate of growth meaning what do you have to do for the 6.5%.

You need to do 100% + 6.5% = 106.5%

You need to convert the percent to a decimal which will be 1.065


Now we need to start plugging things into our formula to solve.

Your initial Starting amount was $3000

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Our power to x is our 3.5 years.

Our Equation now:

y=3000(1.065)^3

Now you need to use a calculator to do this due to the amount of decimals and digits.

Remember pemdas when doing this!!!

The answer should result to $3,623.84 but if rounded then: $3,623.85

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