Answer: 16x + 16x + 13x = 180°
Step-by-step explanation:
16x + 16x + 13x = 180° add all variables
45x = 180° divide both sides by 45
x = 4 Substitute 4 for x for each angle, and then you have your measurements!
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Maurice wants to create a set of elliptical flower beds. To do this, he first plots the location of the two fruit trees on his graph.
Maurice has to use the equation a^2-b^2=c^2. We know that c=3, and because we need 1 more number to solve for b, I made a=6. 6^2-b^2=3^2. 36-b^2=9. b^2=27. b=5.196
<span>Next, to create the equation, we substitute what we know into the equation x^2/a^2 + y^2/b^2=1 and get x^2/36 + y^2/27=1. Johanna wants to create some hyperbolic flower beds.
We already know that c=3 so this time I decided a=1. 3^2=1^2+b^2. 9=1+b^2. 8=b^2. b=2.828
Next, to create the equation, we substitute what we know to the equation x^2/a^2 - y^2/b^2 = 1. x^2/1^2 - y^2/2.828^2 = 1. </span>
The formula states that:
Faces + Vertices - Edges = 2
So 21 + V - 49 = 2 => V = 2+49-21 = 30
Answer A!