Question

if someone can help me answer these questions ill mark u as a brainliest! thank u if u help! :)

Answer 1

Answer:

u = 20, v = 1

Step-by-step explanation:

Here, we can assume that the triangles are congruent for the purposes of solving the problem. Because they are congruent, by the HL right triangle congruency theorem, the hypotenuse and leg of each triangle have to be the same.

Therefore:

$v+23=u+4\\19v+41=2u+20$

Now, you can simply solve the system of equations for v and u.

I will solve by substitution:

$v+23=u+4\\v=u-19$

Now, plug that into the other equation:

$19(u-19)+41=2u+20\\19u-361+41=2u+20\\19u-320=2u+20\\17u-320=20\\17u=340\\u=20$

Finally, plug that back into the first equation:

$v+23=20+4\\v+23=24\\v=1$

u = 20, v = 1