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Andre45 [30]
3 years ago
6

Mhanifa can you please help? This is due soon. Look at the picture attached. I will mark brainliest!

Mathematics
1 answer:
TEA [102]3 years ago
5 0

Answer:

  • 84°
  • 125°

Step-by-step explanation:

<u>Sum of the interior angles of a regular polygon:</u>

  • S(n) = 180°(n - 2), where n- number of sides
<h3>Exercise 4</h3>

<u>Pentagon has sum of angles:</u>

  • S(5) = 180°(5 - 2) = 540°

<u>Sum the given angles and find x:</u>

  • x° + 122° + 100° + 90° + 144° = 540°
  • x° + 456° = 540°
  • x° = 540° - 456°
  • x° = 84°
<h3>Exercise 5</h3>

<u>Hexagon has sum of angles:</u>

  • S(6) = 180°(6 - 2) = 720°

<u>Sum the given angles and find x:</u>

  • x° + 110° + 160° + 105° + 105° + 115° = 720°
  • x° + 595° = 720°
  • x° = 720° - 595°
  • x° = 125°
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Look at the picture<br>​
Sonbull [250]

\large\displaystyle\text{$\begin{gathered}\sf 9|x-8| < 36 \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Divide \ both \ sides \ by \ 9. \end{gathered}$}

  • \large\displaystyle\text{$\begin{gathered}\sf  \frac{9(|x-8|)}{9} < \frac{36}{9}   \end{gathered}$}
  • \large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf Solve \ Absolute \ Value. \end{gathered}$}

  • \large\displaystyle\text{$\begin{gathered}\sf |x-8| < 4 \end{gathered}$}

\large\displaystyle\text{$\begin{gathered}\sf We \ know \ x-8 < 4 \ and \ x-8 > -4 \end{gathered}$}

<u>                                                                                                                             </u>

         \large\displaystyle\text{$\begin{gathered}\sf x-8 < 4 \ (Condition \ 1) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 < 4+8 \ (Add \ 8 \ to \ both \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x < 12 \end{gathered}$}

<u>                                                                                                                             </u>

           \large\displaystyle\text{$\begin{gathered}\sf x-8 > -4 \ (Condition \ 2) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x-8+8 > -4+8 \ (Add \ 8 \ to \ both \ \ sides) \end{gathered}$}\\\large\displaystyle\text{$\begin{gathered}\sf x > 4 \end{gathered}$}

<u>                                                                                                                             </u>

<u />\underline{\boldsymbol{\sf{Answer}}}

\boxed{\large\displaystyle\text{$\begin{gathered}\sf x < 12 \ and \ x > 4 \end{gathered}$} }

\large\displaystyle\text{$\begin{gathered}\sf Therefore,\bf{\underline{the \  correct \ option}} \  \end{gathered}$}\large\displaystyle\text{$\begin{gathered}\sf is \ \bf{\underline{"A"}}. \end{gathered}$}

6 0
2 years ago
SOMEONE HELP!!!! WILL GIVE 50 POINTS AND BRAINLIEST TO WHOEVER ANSWERS CORRECTLY!!!!!!!!
riadik2000 [5.3K]
A is 7 4 and 3..B is the same...This is my first time with this kind of problem....
5 0
3 years ago
I will mark you brain list and Give you 90 point if you do it right and answer right thanks
almond37 [142]

Answer:

11 Students

Step-by-step explanation:

It is hard to explain in my opinion but I can try. For the stem column you, basically factor out the first digit of the number. Then the leaf column you, put the second digit of each number in your data set.

3 0
2 years ago
Read 2 more answers
Choose the similarity statement
Fofino [41]

Answer:

ΔMLN - ΔΡQO

Step-by-step explanation:

  • LMN change to MLN
  • OPQ change to PQO

Therefore,due to the correct pattern ΔMLN - ΔΡQO is correct.

3 0
3 years ago
What is the middle splitting term
8090 [49]

Answer:

In Quadratic Factorization using Splitting of Middle Term which is x term is the sum of two factors and product equal to last term. To Factor the form :ax 2 + bx + c. Factor : 6x 2 + 19x + 10. 1) Find the product of 1st and last term( a x c).

Step-by-step explanation:

I hope that helped you!! sorry if not!!

8 0
2 years ago
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