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zlopas [31]
3 years ago
15

Which statement is true?

Mathematics
1 answer:
ratelena [41]3 years ago
3 0

Answer:

The statement 'Every square is a rhombus' is correct.

Step-by-step explanation:

Here are the reasons.

<em><u>Is every rhombus a square?</u></em>

Answer: No. Every rhombus is not a square, The reason is that rhombus does not contain any right angles, so it would not a square.

<u>Every parallelogram is a rhombus?</u>

Answer: No. Every parallelogram is a not rhombus as the rectangle has two pairs of parallel sides, so it would be a parallelogram, but it doesn't have equal sides so it would not be a rhombus.

<em><u>Every square is a rhombus?</u></em>

Answer. Yes, a rhombus is a quadrilateral with four equal sides.  Every square contains 4 equal sides in length. Thus, every square would be a rhombus.

<em><u>Every rectangle is a square?</u></em>

No. Some rectangles would not be squares, because they don't have 4 equal length sides.

So, the statement 'Every square is a rhombus' is correct.

Keywords: square, rhombus, rectangle, parallelogram

Learn more about different shames from brainly.com/question/2102390

#learnwithBrainly

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What is the standard form polynomial representing the volume of this shipping container?
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Answer:

Step-by-step explanation:

Volume of the shipping container = Lengt * Breadth * Height

Given

Length = 4x² + 3x

Breadth = x² – 8

Height = 6x +15

Volume of the container = ( 4x² + 3x)( x² - 8)(6x+15)

( 4x² + 3x)( x² - 8)  = 4x⁴-32x²+3x³-24x

( 4x² + 3x)( x² - 8) = 4x⁴+3x³-32x²-24x

(4x⁴+3x³-32x²-24x)(6x+15) = 24x⁵+60x⁴+18x⁴+45x³-192x³-480x²-144x²-360x

Collect like terms

( 4x² + 3x)( x² - 8)(6x+15) = 24x⁵+78x⁴-147x³-624x²-360x

Hence the standard form polynomial representing the volume of this shipping container is expressed as V = 24x⁵+78x⁴-147x³-624x²-360x

6 0
3 years ago
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