Determine whether the congruence is true or false. 88equiv 5 mod 9

Approximation using pythagorean theorem
Im looking at the following diagram,

Here, I am interested in a relation between a,s,c, assuming that $r>>1$ my first thought is to relate then using the pythagorean theorem,
$c^2=a^2+s^2$
Is making sure an approximation a good approach and is there an alternate way to relate my variables? Thank you in advance!

Find the work done by a force F = 5i (magnitude 5 N) in moving an object along the line from the origin to the point (1,1) (distance in meters).

Which side in the smallest triangle would correspond with ${\displaystyle \overline{RS}}$ in the largest triangle?

${\displaystyle \overline{RS}}$
${\displaystyle \overline{RQ}}$
${\displaystyle \overline{QS}}$
None of the sides correspond with ${\displaystyle \overline{RS}}$

Can anyone help me with this problem? I think I probably miss some theorems.
In the figure angle AED = 30 deg, and the minor arc AB,BC, and CD are all equal. The degree measure of the minor arc AD is
a) not enought information, b) 30 deg, c) 105 deg, d) 45 deg, e) none of these.

Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection.
$L_1:\frac{x-2}{1}=\frac{y-3}{-2}=\frac{z-1}{-3}$

To find: The value of x.
Given:

What is the ratio of the surface areas of similar solids whose similarity ratio is 4 : 7?