The ratio of paperbacks to hardbacks is 6: 2. if there
are 192 books, how many are paperbacks?

can you be more specific

Step-by-step explanation:

It's 144

Step-by-step explanation:

paper : hard : total

6          2        6+2=8

There are 192 books

192 /8 =24

Multiply each  by 24

paper : hard : total

6*24     2*24   8*24

144         48     192

i’m sorry but i don’t know sorry

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.