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andrezito [222]
3 years ago
13

Pheneg-Xu drinks 1 cup of milk every day.how many gallons does he drink each week.

Mathematics
1 answer:
Gwar [14]3 years ago
3 0
Let x = number of cups drank per week
let y = number of gallons drank per week

x = 1 cup x 7 days
x = 7 cups per one week

y = 7 cups per week x 0.0625 gallons
y = 0.4375 liquid gallons each week

Therefore Pheneg-Xu drinks 0.4375 liquid gallons each week
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Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures
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Angles formed when two parallel are intersected by a common transversal include, corresponding, alternate interior and exterior, same-side interior, and vertically opposite angles

The correct option is Same–Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

The reason the selection is correct is as follows:

The given angles are;

m∠1 = (30·x - 30)°. m∠5 = (40·x + 70)°

∠1, and ∠5, are located on the same side of the transversal and are both formed on the interior side of the parallel lines

Therefore, they are same–side interior angles

Same side interior angles theorem states that same side interior angles formed between parallel lines are supplementary

Therefore, we have;

m∠1 + m∠5 = 180°

Which gives;

(30·x - 30)° + (40·x + 70)° = 180°

(70·x + 40)° = 180°

70·x = 180° - 40° = 140°

x = \dfrac{140^{\circ}}{70} = 2^{\circ}

m∠1 = (30·x - 30)° = (30 × 2 - 30)° = 30°

m∠1 = 30°

m∠5 = (40·x + 70)° = (40 × 2 + 70)° = 150°

m∠5 = 150°

The correct option is therefore;

Same-Side Int. ∠s Thm. m∠1 = 30°, m∠5 = 150°

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