In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
 
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60 
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
Learn more about the triangle here:
brainly.com/question/25813512
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X⁴ + x³ - 2x² + x + (2x⁴ - 2x²<span> - 3) =
</span>x⁴ + x³ - 2x² + x + 2x⁴ - 2x² - 3 =
3x⁴ + x³ - 4x² + x - 3  ←  <span>the missing polynomial</span>
        
             
        
        
        
Answer:
y = -  x + 2
 x + 2
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 )
y = 3x - 3 ← is in slope- intercept form
with slope m = 3
Given a line with slope m then the slope of a line perpendicular to it is
 = -
 = -  = -
 = -  , hence
, hence
y = -  x + c ← is the partial equation of the perpendicular line
 x + c ← is the partial equation of the perpendicular line
To find c substitute (3, 1) into the partial equation
1 = - 1 + c ⇒ c = 1 + 1 = 2
y = -  x + 2 ← equation of perpendicular line
 x + 2 ← equation of perpendicular line
 
        
             
        
        
        
8pi ft
Just divide 16 by 2 because it’s half of the diameter