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3 years ago

11

60 people attend a game night. Everyone chooses to play chess, a two-player game, or Uno, a

1 answer:

AysviL [449]3 years ago

7 0

Answer:

14-8

12-9

0-15

2-14

Step-by-step explanation:

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Factor x^4 + x y^3 + x^3 + y^3 completely. Show your work.

andrey2020 [161]

$\bf x^4+xy^3+x^3+y^3\impliedby \textit{now let's do some grouping}
\\\\\\
(x^4+xy^3)~~+~~(x^3+y^3)\implies x(x^3+y^3)~~+~~(x^3+y^3)
\\\\\\
\stackrel{\stackrel{common}{factor}}{(x^3+y^3)}(x+1)\\\\
-------------------------------\\\\
\textit{now recall that }\qquad \qquad \textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
a^3-b^3 = (a-b)(a^2+ab+b^2)\\\\
-------------------------------\\\\
(x+y)(x^2-xy+y^2)(x+1)$

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3 years ago

What type of triangle is triangle ABC give reasons for your answer help please I need 1 more mark But I don't know what I'm doin

ladessa [460]

Answer: isosceles

Step-by-step explanation:

By the alternate interior angles theorem, $\angle CAB=50^{\circ}$

Since angles in a triangle add to 180 degrees, $\angle ACB=180^{\circ}-80^{\circ}-50^{\circ}=50^{\circ}$

Since sides opposite equal angles in a triangle are equal, $AB=BC$ .

So, triangle ABC is <u>isosceles</u>

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2 years ago

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zalisa [80]

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