Today is the birthday of Rahul and he is 3 times

Mathematics

1 answer:

Marat540 [252]2 years ago

5 0

Answer:

b. 36 years

Step-by-step explanation:

Today

Nirmala = x years

Rahul = 3x years

In 13 years

Nirmala = 3x + 13 years

Rahul = 2(x+13) - 1

3x + 13 = 2(x+13) - 1

3x + 13 = 2x + 26 - 1

3x + 13 = 2x + 25

3x - 2x = 25 - 13

x = 12

Nirmala = x years

= 12 years

Rahul = 3x years

= 3(12)

= 36 years

The age of Rahul today is 36 years

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Triangle MNP has vertices N(2, 2) and P(0, –2). The triangle is symmetric about the y-axis. What is the approximate measure of t

Evgesh-ka [11]

Point M of the triangle is (-2,2) to make triangle MNP as shown in the attached image

Triangle MNP has a base of 4 units and a height of 4 units. We can work out the angle x and angle y using trigonometry ratio

We use tan ratio to find both angles

$Tan (x) = \frac{opposite}{adjacent}$
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$Tan(x)=2$
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$Tan(y)= \frac{opposite}{adjacent}$
$Tan(y)= \frac{2}{4}$
$Tan^{-1}(0.5)=26.56505118$
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Angle MNP = Angle NMP = 63.43 degrees (this is based on the fact that the triangle is an isosceles triangle)

Angle MPN = 2×26.6 = 53.2 degrees (we multiply by 2 as angle y is only a half of angle MPN - as shown in the diagram)