Answer:
That is, they're similar if one is congruent to a rescaling of the other. So if two figures are congruent, they are also similar. If they are similar, they are not necessarily congruent.
Step-by-step explanation:
Answer:
- movie: $1.25
- video game: $5.25
Step-by-step explanation:
Let m and v represent the rental costs of movies and video games, respectively. The two rentals can be described by the equations ...
5m +3v = 22
2m +6v = 34
We notice that the coefficient of v in the second equation is 2 times that in the first equation. This will make it easy to eliminate v as a variable.
Subtracting the second equation from 2 times the first gives ...
2(5m +3v) -(2m +6v) = 2(22) -(34)
8m = 10 . . . . . . . . . . . simplify
m = 10/8 = 1.25 . . . . . divide by the coefficient of m
Using this in the second equation, we can find v:
2(1.25) +6v = 34 . . . . .substitute for m
6v = 31.50 . . . . . . . . . subtract 2.50
v = 5.25 . . . . . . . . . . . divide by the coefficient of v
The rental cost for a movie is $1.25; for a video game it is $5.25.
It says to find the sum of the angle measures in a 16-gon.
We have a formula to find the sum of interior angles of polygon with 'n' sides.
Sum = (n-2)·180°
Here the value of n would be 16 for a 16-gon.
So, sum = (16-2) × 180° = 14 × 180° = 2520°
Hence, the sum of the angle measures in a 16-gon is 2520°
Answer:
Step-by-step explanation:
Anything from the center to the edge is the radius. It is one half of what it measures in diameter.
