The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. the park offers half off all entry tickets during the off-peak season. the sandlers paid a total of $194 for 1 adult ticket and 4 child's tickets to the water park during the off-peak season. the following equation represents this situation, where x represents the regular price of an adult ticket: 194 = one-halfx + 2(x − 8) what is the regular price of a child's ticket?

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step-by-step explanation:

no

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.