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sashaice [31]
3 years ago
7

Mai's mother was 28 when Mai was born. Mai is now 12 years old. In how many years will Mai's mother be twice Mai's Age

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Let x = the number of years

In x years, Mai's mother's age will be: 28 + x

                         and Mai's age will be:  12 + x

Then,                                      28 + x = 2(12 +   x)

Distribute the 2                      28 + x =    24 + 2x

Subtract 24 from each side     4 + x =            2x

Subtract x from each side             x = 4

In four years, Mai's mother will be twice Mai's age.

<em>Check: </em>

28 + 4 = 2(12 + 4)

   32   = 2 ×  16

   32   =   32

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AD←→ is tangent to circle M at point D. The measure of ∠DMQ is 58º.
Marat540 [252]

Answer:

32°

Step-by-step explanation:

Given:

∠DMQ = 58º

In this circle, the radius is DM. Since AD is tangent to the circle M, at point D, and the angle between a tangent and a radius is 90°

Therefore, ∠MDQ = 90°

The total angle in a triangle is 180°. Since we have the values of ∠MDQ and ∠DMQ, ∠DQM will be calculated as:

180 = ∠DMQ + ∠MDQ + ∠DQM

Solving for ∠DQM, we have:

∠DQM = 180 - ∠DMQ - ∠MDQ

∠DQM = 180 - 90 - 58

∠DQM = 32°

The measure of ∠DQM is 32°

6 0
3 years ago
Which of the following is the correct graph of the compound inequality 4p + 1 &lt; −11 or 6p + 3 &gt; 39?
mrs_skeptik [129]

The correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

<h3>Linear Inequalities </h3>

From the question, we are to determine the graph for the given compound inequality

The given compound inequality is

4p + 1 < −11 or 6p + 3 > 39

Solve the inequalities separately

4p + 1 < −11

4p < -11 - 1

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OR  

6p + 3 > 39

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p > 36/6

p > 6

Thus,

p < -3 OR p > 6

Hence, the correct graph to the inequality is a number line with open dot at <em>negative 3</em> with shading to the left and an open dot at 6 with shading to the right. The correct option is the second option

Learn more on Linear Inequalities here: brainly.com/question/5994230

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1 year ago
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son4ous [18]
The answer to this problem is 144 square units.
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3 years ago
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Para cambiar 212% a fracción debemos dividirlo entre 100% ?
kirza4 [7]

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4 0
3 years ago
One leg of a right triangle is 12 inches, and the measure of the angle opposite that leg is $30^\circ$. what is the number of in
Alik [6]
Ok

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if the leg oposite the 30 degree angle is 12 inches then the hypontuse is 12*2 or 24 inches
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