Answer:
X=-1/2
Y=3/4
Step-by-step explanation:
For the first one, you did good. I will just suggest a couple things.
Statement Reason
JK ≅ LM Given
<JKM ≅ < LMK Given (You did both of these steps so well done.)
MK ≅ MK Reflexive Property (Your angle pair is congruent but isn't one of the interior angle of the triangles you are trying to prove.)
ΔJMK ≅ ΔLKM SAS
Problem 2: (You also have a lot of great stuff here.)
Statement Reason
DE ║ FG Given
DE ≅ FG Given
<DEF≅<FGH Given
<EDF≅<GFH Corresponding Angles (You don't need to know that F is the midpoint but you got corresponding angle pair which is correct.)
ΔEDF≅ΔGFH ASA
<DFE≅<FHG CPCTC
X = x
to solve, subtract both sides by x:
0 = 0
x is always equals to x so infinite solutions
The answer to this is 36.
M is the exponent of z inside parentheses. In expanded form, the exponent of z is 8m, so m is 1/8 of the exponent of z.