The number of new bicycles must be more than 13 times the number of new treadmills. each bicycle costs $340 and each treadmill costs $670. he must spend less than $5,650. select all of the constraints for this situation. a) y> 13x b)340x+670y≤5650 c)y> 0 340x+670y< 5650 d) x> 13y x> 0

c and d

Step-by-step explanation:

The cost inequalities tell you that x corresponds to bicycles, so answer (a) is incorrect. The cost constraint is strictly less than, so answer (b) is incorrect.

(c) correctly expresses the cost constraint.

(d) correctly expresses the relationship between bicycles (x) and treadmills (y).

The only integer solution is y=0 and 0 < x ≤ 15.

c.

d.  

Step-by-step explanation:

Let x be the number of new bicycles and y be the number of new treadmills.

Given : The number of new bicycles must be more than 13 times the number of new treadmills.

i.e.

Each bicycle costs $340 and each treadmill costs $670.

He must spend less than $5,650.

i.e. '

Hence, the constraints for this situation will be :

Hence, c and d are the correct options.

45

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.