Answer:
a) corresponding angles of similar polygons are congruent
b) corresponding sides of similar polygons are proportional
c) a triangle is a polygon
Step-by-step explanation:
By <em>definition</em>, similar polygons have congruent corresponding angles and proportional corresponding sides.
A triangle is a polygon, so two triangles will be similar if they have congruent corresponding angles and proportional corresponding sides.
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For an n-sided polygon, one only needs to show the conditions are met for n-1 angles and sides. Those will determine the measures of the final angle/side.
To find the midpoint, Add the two X coordinates together then divde by two and then to the same with the Y coordinates:
X = -4 + 2 = -2 / 2 = -1
Y = 6+7 = 13/2
Midpoint = (-1,13/2)
X divided by two is 5
So you multiply 5 and 2 to get 10. Therefore x equals 10
a. 6, 8, 10, 12, 14
Work:
a_1 = 2(1) + 4
a_1 = 6
a_2 = 2(2) + 4
a_2 = 8
a_3 = 2(3) + 4
a_3 = 10
a_4 = 2(4) + 4
a_4 = 12
a_5 = 2(5) + 4
a_5 = 14
b. 500
Work:
Since the common difference is 2, we can add 2 to each number until we reach the 20th term.
6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 = 500
The answer would be 80. I'm pretty sure. You would multiply the money amount and how much she bought.
