Answer:
m<PKN = 270 - m<JKN
Step-by-step explanation:
The measures of the three right angles JKM, MKL, and LKN add to 270 deg.
The measures of the angles JKP and PKN add to 270 deg.
m<PKN = 270 - m<JKN
Formula of the area of a triangle = 1/2 b*h
(1/2)*10*6 = 30
Let x= second number
x-1= first number
2x= 4(x-1) + 26
2x= 4x -4 + 26
2x -4x= 22
-2x= 22
(-1)(-2x)=22(-1)
2x= -22
x=-11 (second number)
-11-1= -12 (first number)
The value of x is 13
<h3>How to determine the value</h3>
From the diagram shown, we have that the line segments as;
NK = NM + ML + LK
Where;
- NK = 23
- NM = x - 6
- ML = 9
- LK = 2x - 19
Substitute the values into the equation
(x - 6) + 9 + 2x - 19 = 23
collect like terms
x + 2x -6 + 9 - 19 = 23
Add like terms
3x - 16 = 23
3x = 23 + 16
3x = 39
Divide both sides by 3
x = 39/ 3
x = 13
Thus, the value of x is 13
Learn more about line segments here:
brainly.com/question/2437195
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