Question

WILL GIVE BRAINLIEST PLEASE HELP Write the equation and show work. Find 'x" and ' TK'

Answer 1

Answer:

$x=6$

$TK=72$

Step-by-step explanation:

Because there are two smaller lines drawn in lines TA and AK, it means that the length of TA is the same as AK.

Hence, $6x=4x+12$

Subtract 4x from both sides:

$6x-4x=4x+12-4x$

$2x=12$

Divide both sides by 2:

$\frac{2x}{2}=\frac{12}{2}$

$x=6$

To find TK,

$6x+4x+12=10x+12=10\times 6+12=60+12=72$