The polygon in option 3 is not octagon at all, it is heptagon (or 7-sided polygon).
A convex octagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.
When some internal angle is greater than 180°, it is concave.
In option 2 you can see that one angle is pointing inward, then this octagon is concave.
Answer: correct choice is B.
Answer:
(-4,9)
Step-by-step explanation:
substitute the given value for y into the first equation
x-5(-2x+1)=-49
distribute
x+10x-5=-49
add like terms
11x-5=-49
add 5 to both sides
11x=-44
divide both sides by 11
x=-4
now plug x into into the second equation
y=-2(-4)+1
y=8+1
add like terms
y=9
Answer:
Step-by-step explanation:
In the given equation, the "like terms" are the constants 5/8 and 44.
It simplifies the math if we eliminate the fractions first. Note that 0.75 = 6/8, so now we have:
8(6/8)s - 8(5/8) = 44).
Multiplying all three terms by 8 (above) yields
8(6s) - 8(5) = 8(44), or
48s = 8(44 + 5), or 48s = 8(49)
Dividing both sides by 48 yields s: s = 8(49/48)
Review "like terms:" These are terms that have at least one characteristic in common. 5/8 and 44 are like terms because they are only constants (no variables are present). We must add 5/8 and 44. 0.75s does not have a "like term" in the given equation.
15.000 ÷ 100
150 = 1%
1650 = 11%
1650 x 16 = 26.400
26.400 + 15.000 = 41.400
So 41.400 is the population number now.