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ipn [44]
2 years ago
15

-2/3p - 4 < 8help for 15 points.​

Mathematics
2 answers:
Dmitrij [34]2 years ago
5 0

Answer: p > -18

Step-by-step explanation:

-2/3p - 4 < 8

3 * (-2/3p - 4 < 8) * 3

-2p - 12 < 24

-2p < 24 + 12

-2p < 36

Divide both sides of the inequality by -2 and flip the sign

-2p/-2 < 36/-2

p > -18

wel2 years ago
3 0

Answer:

p > -18

Step-by-step explanation:

-2/3p - 4 < 8

-2/3p < 12

p > 12 x -3/2

p > -18

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soldi70 [24.7K]

<u>Given</u>:

The exterior angle P is 74°

The measure of ∠PRQ is 51°

We need to determine the measure of ∠PQR

<u>Measure of ∠QPR:</u>

From the figure, it is obvious that P is the intersection of the two lines.

The angle 74° and ∠QPR are vertically opposite angles.

Since, vertically opposite angles are always equal, then the measure of ∠QPR is 74°

Thus, the measure of ∠QPR is 74°

<u>Measure of ∠PQR:</u>

The measure of ∠PQR can be determined using the triangle sum property.

Thus, we have;

\angle PQR+\angle QPR+\angle PRQ=180^{\circ}

Substituting the values, we get;

\angle PQR+74^{\circ}+51^{\circ}=180^{\circ}

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Thus, the measure of ∠PQR is 55°

Hence, Option B is the correct answer.

4 0
3 years ago
Read 2 more answers
Mrs. Lane took a survey of the types of pants her students were wearing. She collected the data at the right. What percent of he
Nadya [2.5K]

Answer:

It is always important to go through the given problem first to get a concept of the requiremement. Then all the information's available from the question has to be noted down in such a manner that there would be no need to look at the question while solving.

Total number of students wearing jeans = 10

Total number of students wearing shorts = 9

Total number of students wearing capris = 2

Then the total number of students surveyed by Mrs Lane = (10 + 9 + 2)

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Now percentage of students wearing shorts = (9/21) * 100

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So a total percentage of 42.85% of the students were wearing shorts.

Step-by-step explanation:

6 0
3 years ago
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Answer:

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Answer:

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Step-by-step explanation:

1 foot is 12 inches

12 times 3=36

12 divided by 2=6

36+6=42

8 0
3 years ago
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