Acollector has 160 movie posters and 120 band posters. she wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160: 120. if she sells 24 movie posters, how many band posters should she sell? complete the explanation to find out how many band posters she should sell.

Step-by-step explanation:

The collector has 160 movie posters and 120 band posters.

She wants to sell 24 movie posters but still have her poster collection maintain the same ratio of 160:120.

Total ratio = 160 + 120 = 280

If she sells 24 movie posters, it means

24 = 160/280 × x = 160x/280

Where x = total number of movie posters and band posters sold

24 × 280 = 160x

160x = 6720

x = 6720/160 =42

Number of band posters that she should sell = total number of both posters - number of movie posters.

Number of band posters that she should sell = 42-24 =18

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

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.