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Setler [38]
3 years ago
7

Compare numbers to their opposites based on their positions on a number line. Choose ALL true statements based on these comparis

ons.
A) −(−7) = 7
B) Zero is its own opposite.
C) −(−10) = −10
D) −14 and 4 are equally distant from 0.
E) −12 and 12 are equally distant from 0.
Mathematics
2 answers:
Kazeer [188]3 years ago
6 0
I believe it’s E SORRY IF IM WRONG
Dmitrij [34]3 years ago
3 0
E is one answer because 12 and -12 are absolute values.
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Determine two coterminal angles (one positive and one negative) for each angle. Give your answers in radians. (Enter your answer
vagabundo [1.1K]

Answer:

Follows are the solution to this question:

Step-by-step explanation:

In point a:

\to \frac{5 \pi }{6}

calculating a positive coterminal angle:

\to \frac{5 \pi }{6} + 2 \pi \\\\ \to \frac{5 \pi +12 \pi }{6} \\\\ \to \frac{17 \pi }{6} \\\\

calculating negative coterminal angle:

\to \frac{5 \pi }{6} -2\pi \\\\ \to \frac{5 \pi - 12 \pi }{6} \\\\ \to \frac{ - 7 \pi }{6} \\\\

In point b:

\to \frac{-9 \pi }{4}

calculating a positive coterminal angle:

\to \frac{ -9 \pi }{4} + 2 \pi  \ \   = \frac{-9 \pi + 8 \pi }{4} \\\\

\to \frac{ - \pi }{4} + 2 \pi  \ \   = \frac{- \pi + 8 \pi }{4} \\\\

= \frac{ 7 \pi}{4}

calculating a negative coterminal angle:

\to \frac{ -9 \pi }{4} - 2 \pi  \\\\   \to \frac{-9 \pi - 8 \pi }{4} \\\\ \to  \frac{-17 \pi }{4}

3 0
3 years ago
Please help me with this. It makes no sense to me.
lara [203]

Answer:

D

Step-by-step explanation:

<8 and <5 are vertical angles

6 0
3 years ago
What is 65% of 80x please show your work
ahrayia [7]
<span>You need to do this to make it correct = (65/100)*80
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6 0
3 years ago
Which equation can be used to solve for the rate, r, for Sam to change all the light bulbs in the office building by himself?
Bad White [126]

Answer:

\frac{3}{r}+\frac{3}{8}=1

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Working together, Sam and Charlie can change all light bulbs in the office building in 3 hours. It would have taken Charlie 8 hours to do the job alone. Which equation can be be used to solve for the rate 'r', for Sam to change all the light bulbs in the office building by himself.

Let Sam can change the bulbs in the office alone in 'r' hours  

Per hour work done by Sam alone = \frac{1}{r}

Let Sam takes he time to change the same bulbs in the office alone = 8 hours

Per hour work done by Sam = \frac{1}{8}

Since, Sam and Charlie complete the work together in time = 3 hours

Therefore, per hour work done by both = \frac{1}{3}

Equation for per work done by both will be,

Per hour work done by both = Per hour  work done by Sam alone + Per hour work done by Charlie

\frac{1}{r}+\frac{1}{8}=\frac{1}{3}

Therefore, equation for the rate 'r' will be,

\frac{1}{r}+\frac{1}{8}=\frac{1}{3}

\frac{3}{r}+\frac{3}{8}=1

8 0
3 years ago
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I need help with this question
Vesna [10]

Answer:

23°

Step-by-step explanation:

23° because AD divide BAC into 2 equal parts

5 0
3 years ago
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