Answer:
regular pentadecagon
Step-by-step explanation:
it has 15 sides
that is what matches the exterior angled sum property - 360degree
let me explain it
1 side = 180 - 156 = 24
360/24 = 15
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Y=a(x-h)^2+k
vertex form is basically completing the square
what you do is
for
y=ax^2+bx+c
1. isolate x terms
y=(ax^2+bx)+c
undistribute a
y=a(x^2+(b/a)x)+c
complete the square by take 1/2 of b/a and squaring it then adding negative and postive inside
y=a(x^2+(b/a)x+(b^2)/(4a^2)-(b^2)/(4a^2))+c
complete square
too messy \
anyway
y=2x^2+24x+85
isolate
y=(2x^2+24x)+85
undistribute
y=2(x^2+12x)+85
1/2 of 12 is 6, 6^2=36
add neagtive and postivie isnde
y=2(x^2+12x+36-36)+85
complete perfect square
y=2((x+6)^2-36)+85
distribute
y=2(x+6)^2-72+85
y=2(x+6)^2+13
vertex form is
y=2(x+6)^2+13
Answer: 9h+40 (C)
Step-by-step explanation: the answer is 9h+40 because $9/hr rate is dependent on how many hours she worked (h), so it would be multiplied. She earned $40 already, so it would be added. the correct expression would be 9h + 40, or c.
Answer:
True
Step-by-step explanation:
The year is typically divided into equal different lengths of time. There are, for example, quarters, which divide the year by 4, i. e., in 4 periods of 3 months each. Other example are semesters, in this case, the year is divided into 2 periods of 6 months each. Taking this into account, an interest calculated on a balance every three months is compounded quarterly.
Given that the minute hand is at exactly 12hrs there is a difference of 5 hours in between so you multiply 5over 12 by 360degrees and you get 180degrees
5/12*360=150
