Answer:
A. It exhibits both types of symmetry: rotational and reflectional.
Step-by-step explanation:
An image of a regular polygon is presented to us, and we need to identify its symmetry characteristics.
Upon examining the polygon, we can determine that it is a pentagon.
It's known that a regular pentagon consists of five sides of equal length and possesses five lines of symmetry.
Each line of symmetry enables the pentagon to be split into two identical halves, thus confirming the existence of reflectional symmetry in this pentagon.
Additionally, a regular polygon also has rotational symmetry. To establish the degree of rotational symmetry, one multiplies 360 degrees by the number of its sides.
Consequently, a regular pentagon displays rotational symmetry as well.
Hey there! STEP 1: 1. Simplifying (4x + 3y)² results in (4x - 3y) 1. STEP 2: The equation results in (4x-3y) 1 divided by (16(x²) + 24xy + 9(y²)). STEP 3: Following similar resolutions results in repeating the process of simplification. After completing these steps, we factor and figure that (4x + 3y) is a perfect square, yielding (4x + 3y)². Hence, after numerous simplifications, we achieve that the result concludes to be 4x-3y. I hope this helps!
Answer:
Step-by-step explanation:
To find x, set the two expressions equal and solve:
8x + 11 = 12x - 1
11 = 4x - 1
12 = 4x
x = 3
Response:
The bike positioned higher on the y-axis is the one that has traveled a greater distance.
Step-by-step explanation:
If Dorrian charted the positions of the bikes with time in seconds on the x-axis and distance traveled on the y-axis, the x-coordinates for both bikes would align.
However, the bike that finished faster would achieve a higher y-coordinate, while the slower one trail behind with a lower y-coordinate.
Thus, the bike with the higher y-coordinate is the victor of the race.
The conditional probabilities for X equaling 1, 2, and 3 are 0.7333 (73.33%), 0.25 (25%), and 0.0167 (1.67%) respectively.
