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Vilka [71]
3 years ago
8

Which situation can be modeled by the inequality 60−15x≥760-15x≥7?                            1 )You borrowed $60 from your olde

r brother. You pay him $7 a week and need to pay him back within 15 weeks                                                                                                        2 )You owe your parents $60 and plan to pay them $15 a week until you owe them less than $7.                                                                                                                 3 ) You can buy playlists in packages of 15 songs. You have $60 to spend but want to have at least $7 left.                                                                                           4)You have $60 to spend on hats at the mall, but you need to save at least $7 for lunch. You plan to spend the rest on hats that cost $15 each (including tax).                                                                                                                              
Mathematics
1 answer:
aliina [53]3 years ago
5 0
The answer is number 4 "You have $60 to spend on hats at the mall, but you need to save at least $7 for lunch. You plan to spend the rest on hats that cost $15 each including tax"
60-$15x refers to "you have $60 to spend on hats" and "to spend the rest on hats" while <7 for ''save at least $7 for lunch"

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Answer:

  1. Translate P to E; rotate ∆PQR about E until Q is coincident with F; reflect ∆PQR across EF
  2. Reflect ∆PQR across line PR; translate R to G; rotate ∆PQR about G until P is coincident with E

Step-by-step explanation:

The orientations of the triangles are opposite, so a reflection is involved. The various segments are not at right angles to each other, so a rotation other than some multiple of 90° is involved. A translation is needed in order to align the vertices on top of one another.

The rotation is more easily defined if one of the ∆PQR vertices is already on top of its corresponding ∆EFG vertex, so that translation should precede the rotation. The reflection can come anywhere in the sequence.

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<em>Additional comment</em>

The mapping can be done in two transformations: translate a ∆PQR vertex to its corresponding ∆EFG point; reflect across the line that bisects the angle made at that vertex by corresponding sides.

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