Answer:
63 degrees
Step-by-step explanation:
Since a triangle has to equal 180 degrees, 180-117=63 degrees.
Answer: 12
Step-by-step explanation: Since the angles are supplements, 3x + x - 20 = 180. Solving this, we find that x = 50, and 3x = 150. Since dodecagons have interior angles of 150 degrees, the answer is 12 sides.
Take however many boys/girls there are and divide it by how many sports there are... so 250/3= 83 boys per sport and 80 girls per sport.
Answer:
A = 112 , C = 85 , B = 90
Step-by-step explanation:
A + B + C = 287
A + C = 197
A + B = 202
C = 197 - A
B = 202 - A
A + 202 - A + 197 - A = 287
A = 112
C = 85
B = 90
Answer:
C) 65,535
Step-by-step explanation:
You can add up the 8 terms ...
3, 12, 48, 192, 768, 3072, 12288, 49152
to find their sum is 65535.
_____
<em>Estimating</em>
Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.
_____
<em>Using the formula</em>
You know the formula for the sum of a geometric sequence is ...
S = a1(r^n -1)/(r -1)
where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).
Filling in the values, you find the sum is ...
S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535
