Alyssa is a waitress at a restaurant. Each day she works, Alyssa will make a

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Answer:

$170

20+15t

Step-by-step explanation:

she already makes $20 in a day and then you add the 10 times $15 in tips which makes 170.

for the equation, she makes 20 so you add it to 15 times t which is the hypothetical number of tables

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Ravi will take the 6:37 PM train to San Diego. The train is estimated to arrive in San Diego in 3 hours 45 minutes. What is the

Ahat [919]

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3 years ago

The supplement of an angle is 50 less than 3 times its complement, find the measure of the angle

Lelechka [254]

Answer:

$20^{\circ}$ .

Step-by-step explanation:

Two angles are supplements of one another if their sum is $180^{\circ}$ .

Two angles are complements of one another if their sum is $90^{\circ}$ .

Let $x^{\circ}$ be the measure of the angle in question.

The supplement of this angle would be $(180 - x)^{\circ}$ .

The complement of this angle would be $(90 - x)^{\circ}$ .

According to the question:

$(180 - x) + 50 = 3\, (90 - x)$ .

Solve this equation for $x$ :

$x = 20$ .

Thus, this angle would measure should $20^{\circ}$ .

The supplement of this angle would measure $(180 - 20)^{\circ} = 160^{\circ}$ . The complement of this angle would measure $(90 - 20)^{\circ} = 70^{\circ}$ .

Three times the complement of this angle would be $3 \times 70^{\circ} = 210^{\circ}$ , which is indeed $50^{\circ}$ greater than the supplement of this angle.