Answer:
<em>x = 59</em>
Step-by-step explanation:
<u>Equations</u>
The interior angles formed by the sides of a quadrilateral have measures that sum to 360°.
The image shows a four-sided polygon and its four angles measures, thus we sum them all and equate the sum to 360:
x + x + 2x + 3 + 2x + 3 = 360
Simplifying:
6x + 6 = 360
Subtracting 6:
6x = 354
Dividing by 6:
x = 354/6
x = 59
Answer:
12^5
Step-by-step explanation:
12^5 means 12*12*12*12*12 (5 twelves)
Por determinante:
5...1...1
1...0...1 = 0 --> se o determinante for igual a 0, os pontos estarão alinhados.
3...3...1
calculando: (5 x 0 x 1 + 1 x 1 x 3 + 1 x 3 x 1) - (1 x 0 x 3 + 1 x 1 x 1 + 3 x 1 x 5) =
0 + 3 + 3 - 0 - 1 - 15 =
6 - 1 - 15 =
5 - 15 = - 10 --> como não deu zero, os pontos não estão alinhados.
0.04 because if you divide it you get 0.04
The estimate for the total population size is 1600.
Setting up a proportion for this, we know that 150 out of our 300 turtle sample is marked; this is the first ratio for the proportion. We also know that we marked 800 of our total population, which we will call x:
150/300 = 800/x
Cross multiply:
150*x = 300*800
150x = 240000
Divide both sides by 150:
150x/150 = 240000/150
x = 1600
