The city of Raleigh has 9300 registered voters. There are two candidates for city council in an upcoming election: Brown and Feliz. The day before the election, a telephone poll of 450 randomly selected registered voters was conducted. 268 said they'd vote for Brown, 147 said they'd vote for Feliz, and 35 were undecided. Describe the sampling frame for this survey.
All citizens of Raleigh
All registered voters in Raleigh
All registered voters with telephones in Raleigh
The 450 voters surveyed
The 268 voters who said they'd vote for Brown
None of the above

439400

step-by-step explanation:

130^2 = 16900

16900*26 = 439400

sounds & other waves originate from any vibrating object

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.