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3 years ago

Please solve 16 and 17! I don't have much time to do my homework tonight.

Mathematics

1 answer:

NeX [460]3 years ago

8 0

16. ∠2 = 53° because it is supplementary.

- You are given the measurement of ∠1, which is 128°. From the picture you can see that ∠1 and ∠2 combined equal 180° (they are supplementary angles).
- So to find ∠2, simply subtract 128° from 180°. The answer is 53°.

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17. 12° because it is vertical.

- Vertical angles, like 48° and 4x in the image, are always equal.
- So if 4x = 48°, then you can divide both sides to get x = 12°.

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4 years ago

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Consider a circle whose equation is x + y - 2x - 8=0. Which statements are true? Select three options

Mandarinka [93]

Answer:

The standard form of the equation is

${(x - 1)}^{2} + {(y - 0)}^{2} = {3}^{2}$

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The given circle has equation:

${x}^{2} + {y}^{2} - 2x - 8 = 0$

We regroup similar terms to obtain:

${x}^{2} -2x + {y}^{2} = 8$

We now complete the square to obtain:

${x}^{2} -2x + {( - 1)}^{2} + {y}^{2} = 8 + {( - 1)}^{2}$

${(x - 1)}^{2} + {(y - 0)}^{2} = 9$

${(x - 1)}^{2} + {(y - 0)}^{2} = {3}^{2}$

This is now of the form:

${(x - h)}^{2} + {(y - k)}^{2} = {r}^{2}$

which is referred to as the standard form equation of the circle:

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4 years ago

Billy is ordering 7 identical sandwiches and a drink. The drink costs $2.5 and the entire order costs $140.5. Write an equation

Finger [1]

Answer: $17.92/sandwich

Step-by-step explanation:

Let S be the price of a sandwich ($/sandwich).

7S is the total cost of the sandwiches. Add a drink for $2.50 to find the total cost, which we are told comes to $140.50

7S + $2.50 = $140.50

7S = $138

S = $19.7143

It is odd that this includes a fraction of a single penny (0.43 cents). Something is incorrect in the data given, since this should equal a whole number. For now, I'll round up to $19.72. The additional 7*($0.0043) = 4 cents will be treated as a tip.

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3 years ago