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hram777 [196]
2 years ago
7

Find the value of x plz i will mark brainliest

Mathematics
2 answers:
irinina [24]2 years ago
4 0

Answer:

x=30

Step-by-step explanation:

Angle sum in a triangle=180

x+3x+2x=180

6x=180

x=30

Scorpion4ik [409]2 years ago
4 0

Answer:

x°+3x°+2x°=180°[by angle sum property]

6x°=180°

x°=180°/6

x°=30°

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The diagram below shows a square inside a regular octagon. The apothem of the octagon is 15.69 units. To the nearest square unit
Musya8 [376]

Answer:

C.  647 square units

Step-by-step explanation:

To find the shaded area, subtract the area of the unshaded square from the area of the octagon.

<u>Area of the octagon</u>

\textsf{Area of a regular polygon}=\dfrac{n\:l\:a}{2}

where:

  • n = number of sides
  • l = length of one side
  • a = apothem

Given:

  • n = 8
  • l = 13
  • a = 15.69

Substitute the given values into the formula and solve for A:

\implies \textsf{Area}=\sf \dfrac{8 \cdot 13 \cdot 15.69}{2}

\implies \textsf{Area}=\sf \dfrac{1631.76}{2}

\implies \textsf{Area}=\sf 815.88\:\:square \:units

<u>Area of the square</u>

\implies \textsf{Area}=\sf 13^2=169 \:\:square \:units

<u>Area of the shaded region</u>

= area of the octagon - area of the square

= 815.88 - 169

= 646.88

= 647 square units (nearest square unit)

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2 years ago
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