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boyakko [2]
3 years ago
6

PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!

Mathematics
2 answers:
melisa1 [442]3 years ago
6 0

answer:

y = 114°    and   x = 120°

step-by-step explanation:

part A:

  • one inner angle: 51°
  • second inner angle: (180°-87°) = 93°
  • third inner angle: (180°-30°) = 150°
  • fourth, beside y angle: 360° - 150° - 93° - 51° = 66°
  • then y = 180°  - 66°  = 114°

part B:

  • there are 6 sides, so inner angle: (6-2)*180 = 720°
  • 160° + 123° + 107° + 90° + x + x = 720°
  • 2x + 480° = 720°
  • 2x = 720° = 480°
  • 2x = 240°
  • x = 120°
lana [24]3 years ago
3 0

#1

Let the angle beside y be x

\\ \rm\hookrightarrow x+51+(180-87)+(180-30)=360

\\ \rm\hookrightarrow x+51+93+150=360

\\ \rm\hookrightarrow x+294=360

\\ \rm\hookrightarrow x=66

  • y=180-66=114°

#2

\\ \rm\hookrightarrow 2x+123+107+160+90=720

\\ \rm\hookrightarrow 2x+480=720

\\ \rm\hookrightarrow 2x=240

\\ \rm\hookrightarrow x=120

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P(x)= 3x^3-5x^2-14x-4
nexus9112 [7]
   
\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\


\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)


\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm  \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm  \sqrt{4+16}}{2}=\frac{2\pm  \sqrt{20}}{2}=\frac{2\pm  2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}



7 0
3 years ago
Gina visits her local farm stand to buy apples and oranges to make a fruit salad. She has​ $10.00 to spend. If she buys only ora
icang [17]

Answer:

29 oranges rounding up but the exact answer is 29.41176

Step-by-step explanation:

It would be 29.41176 if you want the answer to be exact. All you're doing is dividing 10.00 ÷ 0.34 and getting 29 oranges :)

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3 years ago
What is the area of a rectangle with side lenghts 3x+2 and x-4
melamori03 [73]
For a rectangle, A = LW.

A = (3x + 2)(x - 4)

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A = 3x^2 -10x - 8
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3 years ago
Am I correct? Will give brainliest
Korolek [52]

twice the sum of a number and 3, means you need to add the number to 3 first, then multiply by 2.

The correct expression would be 2(n+3)

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3 years ago
Which ordered pair is a solution of the equation?
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A only 3= 5(2-2)+3
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