Answer:
See explanation
Step-by-step explanation:
Consider triangles BXY and AZY. In these triangles:
- given;
- given;
as right angles by reflective property.
Hence, 
by ASA postulate (or by LA postulate).
Congruent triangles have congruent corresponding sides, so
The decagon can be divided in 10 equal parts, so if a full rotation is of 360º, a one tenth rotations will be of 360º/10= 36º
So if you rotate the decagon by a multiple of 36º the rotation will be onto itself, i.e. the figure will look as if it wasn't moved.
From the choices given, the angle that will rotate the angle counterclockwise onto himself will be multiple of 36º, the only one is 72º
This figure has 5 lines of symmetry that cross each vertex and 5 lines of symmetry that cross form the midpoint of one side to the midpoint of the oposite side. This is a total of 10 lines of symetry.
So you can reflect the decagon 10 different ways.
The correct choice is C: 36º, 72º, 10, 5
Answer:
x = 34.9 to the nearest tenth.
Step-by-step explanation:
tan 64 = opposite side / adjacent side = x / 17.
x = 17 * tan 64
= 34.855
Domain: 
Range:
Explanation:
The function is 
The domain of a function is the set of all input values for which the function is well defined. Generally, domain consists of all x-values of the function. Hence, the function is defined in the interval .
The range of a function is the set of output values obtained by substituting the value of x in the function. Hence, the function is defined in the interval .
