Point T lies on segment AK. If AT is 47 meters long and TK is 58 meters long, how long is AK?

AK is 105 meters long

Step-by-step explanation:

If a point lies on a segment, then this point divides the segment into 2 parts

Example:

If a point R lies on the segment AB, then point R divides AB into two segments AR and RB, the length of AB equal the sum of lengths of AR and RB

Let us solve the question

∵ The point T lies on the segment AK

→ That means T divides AK into two parts AT and TK

∴ T divides AK into two segments AT and TK

→ That means the length of AK equal the sum of lengths of AT and TK

∴ AK = AT + TK

∵ AT = 47 meters

∵ TK = 58 meters

∴ AK = 47 + 58

∴ AK = 105 meters

∴ AK is 105 meters long

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:

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )