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bonufazy [111]
3 years ago
15

1. m+ 10< 16

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

1.\ m

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

m+ 10< 16\\ m+ 10-10< 16-10\\m

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4

3. Add 22 to both sides. Then:

y-22< 19\\ y-22+22

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b

5. Subtract 30 from both sides. Then:

h+30

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

-5x

7. Subtract 13 from both sides. Then:

t+13>22\\ t+13-13>22-13\\t>9

8. Add 12 to both sides. Then:

w-12< 16\\ w-12+12

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Answer:

The first graph.

Step-by-step explanation:

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3 years ago
The following data represent the number of grams of fat in breakfast meals offered at a local fast food restaurant. ​(a) Constru
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Answer:

The following are the answer to this question:

Step-by-step explanation:

In the question some data is missing, which is defined in the attached file please find it.

The table for point a:

plot for the Stem-and-leaf:

0             3    4    5     7                                         4

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3 years ago
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ziro4ka [17]

Option B:

Law of cosine, two sides and the included angle are known.

Solution:

Let us first know the law of cosines and law of sines.

Law of cosine:

If we know the sides a, b and the included angle θ, then we can find the third side c. This is known as the law of cosine.

c^2=a^2+b^2-2abcos\theta

Law of sine:

The sides of a triangle are to one another  in the same ratio as the sines of their opposite angles.

$\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}

Given ∠P and the sides r, q are known.

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It is false by the above definition of law of cosine.

Option B: Law of cosine, two sides and the included angle are known.

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Option C: Law of sines, all sides are known.

It is false, because one angle is given in question.

Option D: Law of sines, two angles and the included side are known.

It is false, because two angles are not given.

Option B is the correct answer.

Hence the answer is "Law of cosine, two sides and the included angle are known".

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