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Answer:
A & B
Step-by-step explanation:
A is spot-on because of the use of distributive property. B by the use of like terms.
He spent 33$ because 165*0.2=33
Part A)
A mixed number is in the form where W is any whole number part. The p and q are also whole numbers, which when combined together, form the fractional part p/q
To have a mixed number between 3 and 4, we must make the whole part W equal to 3. The p and q can be anything you want as long as p is smaller than q, this is so p/q is a fraction smaller than 1. So for example, we could have p = 2 and q = 7. So the mixed number is one example of a value between 3 and 4.
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Part B)
This seems to be asking the same exact thing as part A. I'll give another example. The mixed number is between 3 and 4. Again notice the whole part is W = 3. The other two pieces are p = 4 and q = 9. We have p smaller than q.
See the picture to better understand the problem
we know that
A regular dodecagon has 12 sides
Central angle of a regular polygon is an angle whose vertex is the center of the polygon with two consecutive radii
thus
the measure of a central angle is
m∠AOC=360/n
where n is the number of sides
so
m∠AOC=360/12-----> 30°
therefore
the answer Part a) is <span>
the measure of the angle formed by two consecutive radii is 30 degrees
Part b)
we know that
OAC is an isosceles triangle
so
OA=OC
m</span>∠OAC=m∠OCA
<span>the sum of the internal angles of a triangle is 180 degrees
</span>so
180=2*m∠OAC+m∠AOC-----> m∠OAC=[180-30]/2----> 75°
the answer part b) is <span>
the measure of the angle formed by a radius and a side is 75</span>
°