Answer:
9b) -8 = y
9a) 72° = <em>m</em>∠<em>ABC</em>
Step-by-step explanation:
Since you have an angle trisector, in this case, <em>m</em>∠<em>CBE</em><em> </em>≅ <em>m</em>∠<em>DBA,</em><em> </em>therefore you <em>set</em><em> </em><em>x</em><em> </em>equal to 8, plus, according to Morley's Trisector Theorem, all three angles form an equilateral triangle, so <em>m</em>∠<em>BOC</em><em> </em>also has to equal 24°:
Then, <em>m</em>∠<em>ABC</em><em> </em>comes from multiplying 3 by 24 [three <em>twenty-</em><em>four</em>'s], which results in 72°.
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Answer:
63.59 in²
Step-by-step explanation:
The formula to find the area of a square: a², where a is the side.
The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).
1) Find the diameter of the circle. The side of a square is the diameter.
a²
a = √81
a = 9
2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).
= 3.14 x 4.5²
= 3.14 x 20.25
= 63.585
3) Round off the result to the nearest hundredth.
= 63.59
The answer is
4.0000000000006667
Answer:
Step-by-step explanation:
y ÷ 3(4 - 2) + 5.5
= y ÷ 3(2) + 5.5
= y ÷ 6 + 5.5
= y/6 + 5.5
= (y + 33)/6
