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Amiraneli [1.4K]
2 years ago
14

A.8 B.9 C.11 D.14 math.........again

Mathematics
2 answers:
Serga [27]2 years ago
8 0

Answer:

i pretty sure 9

Step-by-step explanation:

Vaselesa [24]2 years ago
4 0

Answer:

The value of x is<u> 11</u>.

Step-by-step explanation:

<u>Given</u> :

Here we have given that the angles of a triangle are :

  • \pink\star 62⁰
  • \pink\star 69⁰
  • \pink\star 4x + 5

\begin{gathered}\end{gathered}

<u>To</u><u> </u><u>Find</u> :

  • \pink\star We need to find the value of x.

\begin{gathered}\end{gathered}

<u>As we know that</u> :

  • \pink\star The sum of the angles of a triangle is always 180 degrees.

\begin{gathered}\end{gathered}

<u>Solution</u> :

Now, according to the question :

\begin{gathered}\quad\longrightarrow{\sf{Sum \:  of \:  all \:  angles = {180}^{0}}} \\\\\quad\longrightarrow{\sf{{62} +  {69} + 4x + 5 = {180}}}\\\\\quad\longrightarrow{\sf{{131} + 4x + 5 = {180}}}\\\\\quad\longrightarrow{\sf{4x + 5 = {180} -  {131}}}\\\\\quad\longrightarrow{\sf{4x + 5 = 49}}\\\\\quad\longrightarrow{\sf{4x = 49 - 5}}\\\\\quad\longrightarrow{\sf{4x = 44}}\\\\\quad\longrightarrow{\sf{x =  \frac{44}{4}}}\\\\\quad\longrightarrow{\sf{x = 11}} \\  \\ \quad{\star{\underline{\boxed{\sf{\purple{x = 11}}}}}}\end{gathered}

Hence, the value of x is 11.

\rule{300}{2.5}

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Answer:

  • 8 3/4
  • 2, 3
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Step-by-step explanation:

<h3>a)</h3>

The first line is simply the sum of the two given numbers.

  3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4

__

To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...

  Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3

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This tells you the numbers on the second line are ...

  Y = 2; B = 3

__

The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...

  Y = 2(2 1/4) = 4 1/2

  total = 5(2 1/4) = 11 1/4

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The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...

  B = 3(3 1/4) = 9 3/4

  total = 5(3 1/4) = 16 1/4

_____

<h3>b)</h3>

The equation is the one we used to find the values on the second line:

  Y/B = 2/3

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