The answer to the question
We have that the value of x in the diagram at the right is
x=109
From the question we are told
Use this idea to find the value of x in the diagram at right.
From The diagram we have a Triangle with its base angles equal
Generally the equation for the Triangle is mathematically given as
180=2b+y
Where
b=Base angles
Since Angle on a straight line is 90
Therefore
180=71+x
x=109
In conclusion
The value of x in the diagram at the right is
x=109
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<span><span>1. <span>x =(8-√76)/2=4-√ 19 = -0.359 </span>
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2. x =(8+√76)/2=4+√ 19 = 8.359 </span>
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Area of the squares (6):
A 1 = 6 · 10² = 600 in²
Area of the equilateral triangles (6):
A 2 = 6 · 10²√3 / 4 = = 6 · 25 · 1.73 = 259.8 in²
Area of the hexagon:
A 3 = 6 · 10²√3/4 = 259.8 in²
Total area:
600 + 259.8 + 259.8 = 1,119.6 in²
Answer: C )
