Np is an angle bisector of < mno. if < mnp  = x + 23, and m< pno = 3x - 1, find the value of x.

The answer is: " 12 " .

→ " x = 12 " .

To solve:

3x - 1 = x + 23 ; Solve for "x" ;

Subtract "x" from each side of the equation; & add "1" to each side of the equation;

3x - 1 - x + 1 = x + 23 - x + 1 ;

to get:

2x = 24 ;

Divide each side of the equation by "2" ;

to isolate "x" on one side of the equation; & to solve for "x" ;

2x/2 = 24/2 ;

to get:

x = 12 .

Let us check our answer, by plugging in "12" for "x" ; on EACH side of the original equation; to see if the equation holds true; {that is, to see if each side of the original equation is equal, when "x = 12" } ; as follows:

3x - 1 = x + 23 ;

Substitute "12" for "x" on each side ;

3(12) - 1 =? (12) + 23 ??

36 - 1 =? 35 ??

35 =? 35?? Yes!

after simplifying it i got: -36.25 as my answer. hope that !

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: