The steps to construct a regular hexagon inscribed in a circle using a compass and straightedge are given as follows:
1. <span>Construct a circle with its center at point H.
2. </span><span>Construct horizontal line l and point H on line l
3. </span>Label
the point of intersection of the circle and line l to the left of point
H, point J, and label the point of intersection of the circle and line l
to the right of point H, point K.<span>
4. Construct
a circle with its center at point J and having radius HJ .
Construct a circle with its center at point K having radius HJ
5. </span><span>Label
the point of intersection of circles H and J that lies above line l,
point M, and the point of their intersection that lies below line l,
point N. Label the point of intersection of circles H and K that lies
above line l, point O, and the point of their intersection that lies
below line l, point P.
6. </span><span>Construct and JM⎯⎯⎯⎯⎯, MO⎯⎯⎯⎯⎯⎯⎯, OK⎯⎯⎯⎯⎯⎯⎯, KP⎯⎯⎯⎯⎯, PN⎯⎯⎯⎯⎯⎯, and NJ⎯⎯⎯⎯⎯ to complete regular hexagon JMOKPN .</span>
Answer:
31
Step-by-step explanation:
Hey there!
4x + 7 + 35 = 90°
4x + 42 = 90°
SUBTRACT 42 to BOTH SIDES
4x + 42 - 42 = 90 - 42
CANCEL out: 42 - 42 because it give you 0.
KEEP: 90 - 42 because it help solve for the x-value.
NEW EQUATION: 4x = 90 - 42
SIMPLIFY IT!
4x = 48°
DIVIDE 4 to BOTH SIDES
4x/4 = 48/4
CANCEL out: 4/4 because it give you 1
KEEP: 48/4 because it give you the x-value
NEW EQUATION: x = 48/4
SIMPLIFY IT!
x = 12
Therefore, your answer is: x = 12
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
<h2>Answer</h2>
A. Angle E = 113°
B. x = 16°
<h2>Explain</h2>
<u>Number A</u>
92 + 70 + 85 + ? = 360
162 + 85 + ? = 360
247 + ? = 360
? = 360 - 247
? = 113°
<u>Number B</u>
108 + 84 + ( x + 30 ) + ( 2x + 18 ) = 360
(180 + 84 + 30 + 18) + (x + 2x) = 360
312 + 3x = 360
3x = 360 - 312
3x = 48
x = 48/3
x = 16°
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