Answer:
C
Step-by-step explanation:
On the top there are 4 x and 1 one.
On the left, there are 2 x and 3 one.
You put those together and you get (4x+1)(2x+3), which is C.
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<h2>Answer: 36-gon (also called triacontakaihexagon)
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Let's start by explaining that a polygon is a closed geometrical figure composed from three or more lines. These lines (sequence of straight segments) are the sides of the polygon, and the points where they intersect are called vertices that form their angles.
It should be noted that its name comes from the Greek word <em>polygōnon</em> (many angles), since the angles (although the sides are used, as well) are those that will define the name the polygon will have.
In this sense, for a polygon that has 36 angles, its name is 36-gon, and formally named as triacontakaihexagon or triacontahexagon (sometimes the Greek word <em>kai</em> that serves as connector, is omitted).
Answer: (3)
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
