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klio [65]
3 years ago
14

Find the value of x (8x-1) (4x+7)

Mathematics
1 answer:
Helen [10]3 years ago
7 0

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

  • Right angle = 90°
  • α = (4x+7)°
  • β =  (8x-1)°

  • We know that the sum of angles of a triangle is 180°.

so

Right angle + α + β =  180°

90° + 4x+7 + 8x-1 = 180

Group like terms

4x+8x+90+7-1=180

Add similar elements: :4x+8x=12x

12x+90+7-1=180

12x+96=180

12x=84

Divide both sides by 12

\frac{12x}{12}=\frac{84}{12}

x = 7

Therefore, the value of x = 7

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method\ \#1\\\\\begin{array}{ccc}700&-&100\%\\385&-&p\%\end{array}\ \ \ \ |cross\ myltiply\\\\700p=385\times100\\700p=38500\ \ \ \ \ |divide\ both\ sides\ by\ 700\\\\p=\frac{38500}{700}\\\\p=\frac{385}{7}\\\\\boxed{p=55\ (\%)}


method\ \#2\\\\\frac{385}{700}\times100\%=\frac{385}{7}\times1\%=55\times1\%=55\%
3 0
3 years ago
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Please help me undertsand this question.
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