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Paraphin [41]
2 years ago
15

If $360 is divided between Pam and Bill in the ratio 3:5 respectively, how much more did Bill receive than Pam?

Mathematics
1 answer:
ryzh [129]2 years ago
7 0
Bill received $144 more than Pam.

Explanation:
To create the ratio, we can divide 360 by 5 which equals 72.
3x72= 216
360

The ratio that is proportionate to 3:5 is 216:360
So, 360 - 216 = 144
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Anyone know how to do this?! Help!
Paraphin [41]

Given:

Vertical angles.

One angle is 85°.

To find:

The measure of ∠1, ∠2 and ∠3.

Solution:

∠2 and 85° are vertically opposite angles and ∠1 and ∠3 are vertically opposite angles.

Vertical angle theorem:

If two lines are intersecting, then the vertically opposite angles are congruent.

⇒ m∠2 = 85°

Sum of the adjacent angles in a straight line = 180°

m∠2 + m∠3 = 180°

85° + m∠3 = 180°

Subtract 85° from both sides.

85° + m∠3 - 85° = 180° - 85°

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