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NeX [460]
3 years ago
6

PLEASE HELP! m∥n m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC What is m∠3 ?

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

m∠3 = 49°

Step-by-step explanation:

From the picture attached,

lines m and n are the parallel lines and line t is a transversal line intersecting these parallel lines at E and B respectively.

Therefore, ∠DEF ≅ ∠ABC [Exterior alternate angles]

m∠1 + m∠2 = m∠4 + m∠5

m∠4 = m∠5 [line s bisects ∠ABC]

50° + 48° = m∠4 + m∠4

98° = 2m∠4

m∠4 = 49°

Since, ∠4 ≅ ∠3 [Vertically opposite angles]

m∠3 = 49°

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Answer:

He can buy <u>3 bracelets</u>.

Step-by-step explanation:

Given:

Mr. Gonzales has only 42.50 to spend he wants to buy 29 t shirts including tax and some bracelets that cost 4.50 each including tax.

Now, to find the number of bracelets he can buy.

Let the number of bracelets he can buy be x.

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Total amount to spend = 42.50.

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Now, to get the number of bracelets we put an equation:

29+4.50\times x=42.50\\\\29+4.50x=42.50

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<em>Dividing both sides by 4.50 we get:</em>

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Therefore, he can buy 3 bracelets.

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