At a hot dog stand, they serve regular and foot long hot dogs at a ratio of 3 to 2.based on this ratio how many foot long hot dogs will be served if there are a total of 80 hot dogs served?

32 Foot long hot dogs

Step-by-step explanation:

A hot dog stand serves 3 regular hot dogs for every 2 foot long hot dogs. This means they sell 3+2 = 5 together.

If they sell 80 in one day, then you find how many of each by solving the equation 5x = 80.

5x = 80

x = 16.

So 3*16 is the number of regular which is 48.

So 2*16 is the number of foot long which is 32.

There are 32 foot long hot dogs that will be served.

Step-by-step explanation:

Since we have given that

Ratio of regular to foot long hot dogs is given by

3:2

Total number of hot dogs served = 80

So, Number of foot long hot will be served is given by

Hence, there are 32 foot long hot dogs that will be served.

b and c

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.