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zalisa [80]
3 years ago
10

Polygon Angle Sums - Part 2

Mathematics
1 answer:
Rashid [163]3 years ago
5 0

Answer:

x = 80°

Step-by-step explanation:

Find attached the complete question with diagram. Also find attached the diagram used for solving the question.

There area 3 angles in the diagram:

x + 8, 2x + 12, x + 20

Let the interior angles be labelled a, b, and c

a+ 2x+12 = 180° (sum of angles on a straight line)

a= 180-(2x+12) = 168 -2x in degrees

b+ x+20 = 180° (sum of angles on a straight line)

b = 180-(x+20) = 160 -x in degrees

c+ x+8 = 180° (sum of angles on a straight line)

c = 180-(x+8) = 172-x in degrees

a+b+c = 180° (sum of angles in triangle)

(168 -2x)° + (160 -x)° + (172-x)° = 180°

500 -4x = 180

500-180 = 4x

320 = 4x

x = 320/4

x = 80°

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Which of the following is true regarding the solution to the logarithmic equation below? log subscript 2 baseline (x 11) = 4. x
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The value of x is 5. Thus, the correct statement is:

x = 5 is a true solution because log subscript 2 Baseline (16) = 4

<h3>Data obtained from the question </h3>
  • Log₂ (x + 11) = 4
  • Value of x =?
<h3>How to determine the value of x </h3>

Log₂ (x + 11) = 4

x + 11 = 2⁴

x + 11 = 16

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x = 16 – 11

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<h3>**Check** </h3>

Log₂ (x + 11) = 4

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Complete question

Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4. x + 11 = 2 Superscript 4. x + 11 = 16. x = 5. x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 2 x = 5 is not a true solution because log Subscript 5 Baseline (16) not-equals 4 x = 5 is a true solution because log Subscript 2 Baseline (16) = 4 x = 5 is a true solution because log Subscript 4 Baseline (16) = 2

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I saw the image that should accompany the above problem.

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