Answer:
x = 36°
Step-by-step explanation:
interior angle of regular pentagon: 180 x (5-2) /5 = 540 / 5 = 108
∠C = 108
CD = CB ∠CDB = ∠CBD = (180 - ∠C) /2
x = (180 - 108) / 2 = 36°
Let F(x) = x^2 + 2x -8
Adding 1 and - 1 at equation
F(x) = x^2 + 2x + 1 - 1 -8
Rewrinting the first 1 = 1^2
F(x) = x^2 + 2x + 1^2 - 1 - 8
Now look:
x^2 + 2x + 1^2 = ( x + 1)^2
Then,
F(x) = (x + 1)^2 -1 -8
F(x) = (x + 1)^2 -9
This is the answer !
If us to want.
(x + 1)^2 -9 = ( x+1)^2 - 3^2
= ( x+ 1 -3).(x +1 +3)
= ( x - 2).(x +4)
Answer:
Yes, the right angle is angle C.
Step-by-step explanation:
The given triangle has vertices at A(–2, 3), B(–3, –6), and C(2, –1).
Recall the slope formula;

The slope of the line going through AC is

The slope of the line going through BC s

The product of the slopes of AC and BC is 
This means line AC is perpendicular to BC at C.
Hence the triangle ABC is right angled at C.
Given:
A figure of a quadrilateral.
To find:
The measures of angle 1 and angle 2.
Solution:
The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.
We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.




Therefore, the correct option is C.