All angles should be 60 degrees because they are equilateral triangles
A1=6*1-12=-6 arithmetic sequence
a14=6*14-12=72
sum =n(a(1)+a(n))/2
sum =14*(-6+72)/2=462
Answer:
Step-by-step explanation:
The octagon is irregular, meaning not all sides have equal length. However, we can break it up into other shapes to find the area.
The octagon shown in the figure is a composite figure as it's composed of other shapes. In the octagon, let's break it up into:
- 4 triangles (corners)
- 3 rectangles (one in the middle, two on top after you remove triangles)
<u>Formulas</u>:
- Area of rectangle with length and width :
- Area of triangle with base and height :
<u>Area of triangles</u>:
All four triangles we broke the octagon into are congruent. Each has a base of 2 and a height of 2.
Thus, the total area of one is
The area of all four is then units squared.
<u>Area of rectangles</u>:
The two smaller rectangles are also congruent. Each has a length of 3 and a width of 2. Therefore, each of them have an area of units squared, and the both of them have a total area of units squared.
The last rectangle has a width of 7 and a height of 3 for a total area of units squared.
Therefore, the area of the entire octagon is
Answer: the slope is 2
Explanation:
The graph goes up 2 and over 1. When finding slope the formula is rise/run
No, it is <u>not</u> a translation. The arrow starts pointing to the right and then points upward. A translation would have the arrow always pointing right the entire time, only that its position would move.
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Problem 2
We can shift the K up 6 units to get what you see in the attached image below