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TiliK225 [7]
3 years ago
8

Aubrey's dinner cost $ 85 $85dollar sign, 85. She tips the waitstaff 30 % 30%30, percent for excellent service. How much does Au

brey tip the waitstaff?
Mathematics
1 answer:
djverab [1.8K]3 years ago
6 0

Answer:

Aubrey tip <u>$25.50</u> tip to the staff.

Step-by-step explanation:

Aubrey's dinner cost $ 85.

She tips the waitstaff 30%, percent for excellent service.

Now, to find the tip Aubrey pay to the staff.

Cost of dinner = $85.

Percent of tip = 30%.

So, to get the amount of tip:

30% of $85.

=\frac{30}{100} \times 85

=0.30\times 85

=\$25.50.

Therefore, Aubrey tip $25.50 tip to the staff.

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Answer:

Triangle 1: x = 80 degrees, acute

Triangle 2: x = 10 degrees, right

Step-by-step explanation:

Triangle 1:

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

60 + 40 +x = 180

Solve for x:

100 + x = 180\\x = 80

So, x = 80 degrees

Because all the angles are less than 90 degrees, this is an acute triangle.

Triangle 2:

By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):

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Solve for x:

3x + 150 = 180\\3x = 30\\x = 10

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Step-by-step explanation:

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3 years ago
determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel
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Answer/Step-by-step explanation:

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Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

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2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

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3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

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4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

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3 years ago
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Answer:

A and B

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B. It has an obtuse angle which is 100 degrees.

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