Answer:
72º
Step-by-step explanation:
In order to calculate this you have to remember that the center angle of any polygon measures 360º, so what we do is just divide those 360 by the number of angles that you will find in the polygon, the number of angles equals the number of sides, so the pentagon has 5 sides, it will also have 5 angles. So we just divide the 360/5=72
So the smallest angle of rotational symmetry that maps a regular pentagon onto itself will be 72º
for this question you would need to utilize ratios to find the side lengths. For example, set up a ratio between the big triangle with the small triangle to find a side length
Answer:
A: x = 0
B: x = All real numbers
Step-by-step explanation:
A.
Any number to the power of (0) equals one. This applies true for the given situation; one is given an expression which is as follows;
Simplifying that will result in;
As stated above, any number to the power of (0) equals (1), thus (x) must equal (0) for this equation to hold true.
B.
As stated in part (A), any number to the power (0) equals (1). Therefore, when given the following expression;
One can simplify that;
However, (1) to any degree still equals (1). Thus, (x) can be any value, and the equation will still hold true.
Answer:
y = 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, 6) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = 2x - 4 ← equation of line
