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3 years ago

Is every trapezoid a rectangle

Mathematics

2 answers:

andriy [413]3 years ago

7 0

No. A trapezoid has only one pair of parallel sides while a rectangle has right angles

Lynna [10]3 years ago

5 0

Answer:

No, a trapezoid is not a rectangle.

This is because trapezoids by definition have only one pair of parallel sides while rectangles must have at least two sets of opposite parallel sides. Also, trapezoids do not have 90 degrees at every angle like rectangles do.

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Which of the following are solutions to the equation below?

sladkih [1.3K]

Answer:

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

Step-by-step explanation:

considering the equation

$2x^2\:-\:4x\:-\:3\:=\:x$

solving

$2x^2\:-\:4x\:-\:3\:=\:x$

$2x^2-4x-3-x=x-x$

$2x^2-5x-3=0$

$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}$

$x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=2,\:b=-5,\:c=-3:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

solving

$x=\frac{-\left(-5\right)+\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5+\sqrt{49}}{2\cdot \:2}$

$x=\frac{5+7}{4}$

$x=3$

also solving

$x=\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:2\left(-3\right)}}{2\cdot \:2}$

$x=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:2\cdot \:3}}{2\cdot \:2}$

$x=\frac{5-\sqrt{49}}{4}$

$x=-\frac{2}{4}$

$x=-\frac{1}{2}$

Therefore,

$\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}$

$x=3,\:x=-\frac{1}{2}$

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3 years ago

X^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120

LenaWriter [7]

Answer:

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Step-by-step explanation:

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3 years ago

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Vika [28.1K]

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3 years ago

Angle BCD is a circumscribed angle of circle A. Angle BAC measures 53°.

Pachacha [2.7K]

Answer:

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Step-by-step explanation:

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3 years ago

What value of y makes the equation true. y+2.9=11

yawa3891 [41]

Answer:

y = 8.1

Step-by-step explanation:

y+2.9=11

Subtract 2.9 from each side

y+2.9-2.9 = 11-2.9

y =8.1

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3 years ago