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3 years ago

What are similar and congruent polygons? Explain pUH-LUh- Ease!

Mathematics

2 answers:

Sladkaya [172]3 years ago

8 0

Answer:Two polygons are if they have the same shape but not necessarily the same size

Step-by-step explanation:

marusya05 [52]3 years ago

8 0

Answer:

Yes if they have same size but not always same shape.

Step-by-step explanation:

I think this is right have a nice day!!

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What is the equation in point-slope form of a line that passes through the points (5, −3)(5, −3) and (−2, 9)(−2, 9) ?

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Point sloe is
y-y1=m(x-x1)
slope=m
a ponint is (x1,y1)

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(x,y)
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(-2,9)
slope=(9-(-3))/(-2-5)=12/-7=-12/7
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a point is (5,-3)
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y=-3
y-(-3)=-12/7(x-5)
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3 years ago

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a positive integer is twice another. The sum of the reciprocals of the two positive integers is frac 3/16, find the two integers

gizmo_the_mogwai [7]

Step-by-step explanation:

Let $x$ be the smallest integer

Let $2x$ be the larger integer

As the sum of the reciprocals of the two positive integers is frac 3/16

So,

$\frac{1}{x}\:+\:\frac{1}{2x}\:=\:\frac{3}{16}$

$\mathrm{Multiply\:by\:LCM=}16x$

$\frac{1}{x}\cdot \:16x+\frac{1}{2x}\cdot \:16x=\frac{3}{16}\cdot \:16x$

Simplify

$24=3x$

$\mathrm{Switch\:sides}$

$3x=24$

$\mathrm{Divide\:both\:sides\:by\:}3$

$\frac{3x}{3}=\frac{24}{3}$

$x=8$

So,

$2x=16$

<h2>Verification:</h2>

$\frac{1}{8}\:+\:\frac{1}{16}$

$\mathrm{Least\:Common\:Multiplier\:of\:}8,\:16:\quad 16$

$=\frac{2}{16}+\frac{1}{16}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{2+1}{16}$

$=\frac{3}{16}$

Therefore,

$\frac{1}{8}+\frac{1}{16}=\frac{3}{16}$

Keywords: word problem , integer

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2 years ago