We know: the sum of the angles measures in a triangle is 180°.
Therefore we have the equation:
64° + 75° + α = 180°
139° + α = 180° <em> subtract 139° from both sides</em>
α = 41°
α and ∠2 are Supplementary Angles - they add up to 180°.
α + m∠2 = 180°
41° + m∠2 = 180° <em>subtract 41° from both sides</em>
<h3>m∠2 = 139°</h3>
The gemstone has 22 edges.
We use Euler's formula on this:
F + V - E = 2
Substituting our information, we have:
14 + 10 - E = 2
Combining like terms,
24 - E = 2
Subtract 24 from both sides:
24 - E - 24 = 2 - 24
-E = -22
Divide both sides by -1:
-E/-1 = -22/-1
E = 22
A straight line equals 180 degrees, so the 3 angles in the picture need to equal 180.
X + 90 + 25 = 180
x +115 = 180
Subtract 115 from both sides:
x = 65
Answer:
(5x^2+10x+1
)/x
Step-by-step explanation:
=(x/x)+9+5x+(1/x)
=(5x^2+10x+1
)/x
ANSWER: ⇔ center ⇔ (2,4)
ANSWER: ⇔ radius ⇔ 4
