Answer:
The correct answer option is A. 18.
Step-by-step explanation:
We have a right angled triangle with the complete values of two sides: the perpendicular and the base with side lengths 40 and 30 respectively.
We can use the Pythagoras Theorem to find the hypotenuse.
Assuming the hypotenuse to be A:
[tex]A^2 = 30^2+40^2[/tex]
[tex]A^2= 900+1600[/tex]
[tex]A^2=2500[/tex]
[tex]\sqrt{A^2} = \sqrt{2500}[/tex]
[tex]A=50[/tex]
To find x, we will subtract 32 from the length of hypotenuse:
[tex]x = 50-32=18[/tex]
Therefore, the value of x = 18.
