A bisector is a line that divides either a line or an angle into <em>two</em><em> proportionate</em> parts or angles. Thus, Anton's <em>bisector</em> would divide the segment into two <u>equal parts</u>, while Maxim's <em>bisector</em> would divide the angle into two <u>equal angles</u>.
The <u>similarities</u> between their construction are:
- <em>Intersecting</em> arcs through which the bisector would pass are required.
- The arcs are dawn using <em>the same</em> radius of any measure.
- The <em>edges</em> of the arc of the given angle, and the ends of the segment are used as <em>centers</em>.
The <u>differences</u> between their construction are:
- Anton has to draw two intersecting arcs <u>above</u> and <u>below</u> the segment. While Maxim would draw two intersecting arcs <u>within</u> the lines forming the angles.
- Anton's bisector would be <em>perpendicular</em> to the segment, while Maxim's bisector would be at <em>an angle</em> which is half of the initial angle.
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Using Sine.
Sine = Opposite / Hypotenuse
sin 60° = a / (6√3) But sin60° = √3/2
√3/2 = a/(6√3)
Cross multiply
2*a = 6√3 * √3
2a = 6 * √(3*3)
2a = 6*3
a = 6*3/2
a = 3*3 = 9
Option E.
Hope this helps.
First you gotta distribute.
4 (1.75y - 3.5) + 1.25y
4 * 1.75 y = 7
4* (-3.5) = (-14)
7y - 14 + 1.25y
Combine like terms
8.25y - 14