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3 years ago

Please help us with this and please include work

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

Answer:

h + p ≤ 15

$50h + $500p ≥ $2500

Step-by-step explanation:

The store can ship at most 15 items per day.

The number of items must be 15 or less.

The items are headphones (h) and pianos (p), so, one of the conditions is

h + p ≤ 15

Each headphone is $50, so the money from headphones is $50h.

Each piano is $500, so the money from pianos is $500p.

The total money from headphones and pianos is $50h + $500p.

This money must be at least $2500, that is, it could be $2500 or more .

The second condition is

$50h + $500p ≥ $2500

The two inequalities are

h + p ≤ 15

$50h + $500p ≥ $2500

B and C are <em>wrong</em>, because the store can ship a maximum of 15 items per day.

D is <em>wrong</em>, because the store must make at least $ 2500 per day.

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Where DG = GH

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Whereby ∠DAB is bisected by AG and ∠ABC is bisected by BH

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Hence AD = DG (Side length of isosceles triangle)

The bisector of ∠ADG is parallel to BH and will bisect AG at point Q

Hence ΔDAQ ≅ ΔDGQ ≅ ΔGPH and AQ = QG = GP

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