By building on the previous power (squaring last term), determine the following powers of 3 modulo 25.
a. 3^1 mod 25 f. 3^32 mod 25
b. 3^2 mod 25 g. 3^64 mod 25
c. 3^4 mod 25 h. 3^128 mod 25
d. 3^8 mod 25 i. 3^256 mod 25
e. 3^16 mod 25 j. 3^512 mod 25
b. write the number 83 and 313 in base 2.
i. 83 base 2.
ii. 313 base 2.
by writing the exponent base 2 and using part b, determine the following:
i. 383 mod 25
ii. 3313 mod 25

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step-by-step explanation:

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step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.