Answer:
The polygons are similar.
Step-by-step explanation:
By definition, the corresponding sides and angles of similar polygons must be in some constant proportion.
Therefore, we can find the ratio between corresponding sides to see if that ratio is maintained.
The side marked 3 cm in the smaller figure corresponds with the side marked 3.75 cm in the larger figure. This proportion is 
.
The side marked 5 in the smaller figure corresponds with the side marked 6.25 cm in the larger figure. This proportion is 
.
If these polygons are similar, these proportions must be equal.
Checking, we see that these proportions are equal, and therefore the polygons are similar.
Answer:
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
Where "l" is the lenght and "w" is the width.
You know that the ratio of the sides of the rectangular window is:
Then, let be 
the width (in inches) of the rectangular window and 
the lenght (in inches) of the rectangular window.
Knowing that the area of the window is 2,720 square inches, you can know that:
Now you must solve for "x" in order to find the width:
Finally, the lenght is:
Volume=[(4πr^3)/3]/2=[(4π(70)^3)/3]/2 is approximately 718378 ft^3
Answer:
a) 55°
b) 125°
c) 55°
d) 55°
Step-by-step explanation:
a) 180-(90+35) = 55
b) this angle forms a straight angle with ∡a
c) this angle is vertical, and congruent, with ∡a
d) 180-(70+55) = 55
Answer:
The answer is f(x), because it grows slower than g(x).
Step-by-step explanation:
f(x) is a quadratic function (because as you can see the formula of f(x) is x^2 + 2). The function of g(x) is exponentional, and therefore it grows faster than f(x).
