Answer:
x = 22.5
Step-by-step explanation:
The tangent- secant angle x is half the difference of the measures of the intercepted arcs, that is
(4x + 5 - 50 ) = x ( multiply both sides by 2 )
4x - 45 = 2x ( subtract 2x from both sides )
2x - 45 = 0 ( add 45 to both sides )
2x = 45 ( divide both sides by 2 )
x = 22.5
Step-by-step explanation:
In the attached images we can see the rigid transformation of the function 
1. The basic graph 
2. The reflected graph 
3. The displaced graph 
Reflection: In the expression
, the sign - before the parenthesis indicates that the function is reflected in the x axis, for this case the function is even, this means that -f(x) = f(-x)
, then the reflection on the x axis is equal to the reflection on the y axis.
Displacement: We observe the term (x-4) of the function
and analyze the value -4, where, the sign - indicates displacement to the right and the value 4 indicates the amount that the graph shifted
.
To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.