Megan is planning a surprise dinner for her best friend. She has a set budget of $260. The venue charges a flat fee of $25 for the reservation and they are going to charge her $15 a person. How many people can
Megan invite at most?

15 people at most

Step-by-step explanation:

25+15+15+15+15+15+15+15

+15+15+15+15+15+15+15+15=250

the correct answer is 5

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.