Solve the following linear congruence: 17x congruence 3(mod 210)

Decide whether the two triangles must be congruent. If so, write the congruence and name the postulate used. If not. write no congruence can be deduced.

Using Fermat's Little Theorem, solve the congruence ${\displaystyle 2\cdot x^{425}+4\cdot x^{108}-3\cdot x^2+x-4\equiv 0mod107}$.
Write your answer as a set of congruence classes modulo 107, such as {1,2,3}.

Given: K is between H and J, HK= 2x - 5, KJ = 3x + 4, and HJ = 24.
What is the value of x?
A. 9
B. 5
C. 19
D. 3

To Proof: The expression ${\displaystyle \mathrm{△}ABC\stackrel{\sim }{=}\mathrm{△}EDC}$.
Given Data:
The given diagram is shown in Figure 1

Figure 1

State the third congruence required to prove the congruence of triangles using the indicated postulate.

a)${\displaystyle \overline{ZY}\stackrel{\sim }{=}\overline{JL}}$
b)${\displaystyle \mathrm{\angle }X\stackrel{\sim }{=}\mathrm{\angle }K}$
c)${\displaystyle \overline{KL}\stackrel{\sim }{=}\overline{XZ}}$
d)${\displaystyle \mathrm{\angle }Y\stackrel{\sim }{=}\mathrm{\angle }L}$

Determine whether the congruence is true or false.
$100\equiv 20mod8$

State if the two triangles are congruent. If they are, state how you know.

A)SSS
B)Not congruent
C)ASA
D)HL