You didnt show the rest of the picture i can't help if i can't see.
Answer:
x = 52.2 degrees
Step-by-step explanation:
In this question, we are to
calculate the value of the angle x
Now the first thing to identify is that what we have is a right angled triangle as one of the angles is 90 degrees
This means that we can employ the use of trigonometric identities to calculate whatever we want to calculate.
The question now is which trigonometric identity is the correct one to use
To answer this, we need to be sure of the sides we were given. Looking at the diagram we have one side facing the 90 degrees angle and the other side facing the angle x itself.
The one facing the angle given is the opposite while the one facing the angle 90 is the hypotenuse
So the trigonometric identity to use is the one that links the opposite and the hypotenuse
This is the sine
mathematically;
sine of an angle = length of opposite/length of hypotenuse
In this case
sine x = 6.4/8.1
sine x = 0.7901
Thus;
x = arc sin 0.7901
x = 52.2 degrees

Let's find the discriminant (D) of the given polynomial ~
Let's compare the given quadratic expression with general expression ~

we get ;
Now, use the following formula :





Therefore, discriminant of the given quadratic expression is 89
Answer:
x = 27
Step-by-step explanation:
∠ ABD and ∠ BDE are alternate angles and are congruent, then
∠ BDE = 72°
∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is
2x + 72 + 2x = 180
4x + 72 = 180 ( subtract 72 from both sides )
4x = 108 ( divide both sides by 4 )
x = 27