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Mathematics

1 answer:

choli [55]2 years ago

7 0

Answer:

1. Each crayon weights 2 grams.

2. John can make 20 birthday cards in 1 hour.

Step-by-step explanation:

1. First we need to convert Kilograms into grams, to do this, we must multiply the # of Kgs by 1000. Then we need to solve for the mass of the crayon.

$500c=1\\\\500c=1000\\\\c=\frac{1000}{500} \\\\c=2$

Each crayon weights 2 grams.

2. First we need to convert 1 hour into minutes. As there are 60 minutes in an hour, we must multiply the number of hours by 60 to find the minutes. Then we can solve for the number of birthday cards.

$3c=1\\\\3c=60\\\\c=\frac{60}{3} \\\\c=20$

John can make 20 birthday cards in 1 hour.

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The figure below shows a straight line AB intersected by another straight line t:

BaLLatris [955]

When two straight lines intersect, the pairs of nonadjacent angles in opposite posi-tions are known as vertical angles.

If a segment AB is intersected by a transversal labeled t, then ∠1 and ∠3 and ∠2 and ∠4 are vertically angles formed by the transversal t on the segment AB.

Angles ∠1 and ∠2 can be described as adjacent and supplementary angles, so

$m\angle 1+m\angle 2=180^{\circ}$ .

Angles ∠3 and ∠2 can be also described as adjacent and supplementary angles, so

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Subtract from the first equation the second equation:

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