Raju's father is 26 years younger than raju's grandfather and 29 years older than raju. The sum of the ages of all the three is 135 years. Also raju's grandmother is 4 times raju's age and his sister is 7 times younger than him

Answers

Answer 1

Answer:

Raju = 17 years

Raju's father age = 46 years

Raju's grandfather age = 72 years

Raju's grandmother = 68 years

His sister = 10 years old

Step-by-step explanation:

Raju’s father is 26 years younger than Raju’s grandfather and 29 years older than Raju. The sum of the ages of all the three is 135 years. Also, Raju's Grandmother is four times of Raju’s age and his sister is 7 years younger than him.

Let

Raju's age = x

Raju's father age = x + 29

Raju's grandfather age = (x + 29) + 26

Total ages = 135

(x) + (x + 29) + (x + 29) + 26 = 135

x + x + 29 + x + 29 + 26 = 135

3x + 84 = 135

3x = 135 - 84

3x = 51

x = 51 /3

x = 17

Raju's age = x = 17 years

Raju's grandmother = 4 times raju's age

= 4 × 17 years

= 68 years

his sister = 7 years younger than him.

= 17 - 7

= 10 years old

Raju's father age = x + 29

= 17 + 29

= 46 years

Raju's grandfather age = (x + 29) + 26

= 46 + 26

= 72 years


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Step-by-step explanation:

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Find the area of a circle with radius 2cm, leave your answer in terms of pi

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Answer:

[tex]Area = 4 \pi \ cm^2[/tex]

Step-by-step explanation:

[tex]Area = \pi r^2 = \pi \times 2^2 = 4 \pi \ cm^2[/tex]

Answer:

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Answers

9 + (36) / 3
9 + (12)
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Answer:

21

Step-by-step explanation:

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Follow PEMDAS:

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It requires a minimum of ____ points to make up a plane

Answers

Answer:

2

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Answers

Answer:

5a) -8 .     Plan : addition/negative?

5b) -30 .   Plan: subtraction/negative?

Step-by-step explanation:

Im not so sure about what "Plan" means, hopefully you know..

5a)

-15 + 7 = 7 - 15 = -8

5b) -10 +(-20) = -10 - 20 = -30

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Below

Step-by-step explanation:

So lets start with the first one:

-15+7

We are going to add these together, and will get -8.

Next we have:

-10+(-20)

When there is both a subtraction or negative sign, and a plus sign, the plus sign is removed.

So we can think of this as:

-10-20

And since the -10 is negative, and we are subtracting it, it is going to get more engative:

-10-20=-30

This is the solution answer.

I do not know what the answer to the plan is, i dont understand what plan means.

Determine whether Triangle AWT= UYZ. explain your reasoning ​

Answers

Answer: The triangles are congruent by the HL theorem

HL = hypotenuse leg

======================================================

Explanation:

Through the segment addition postulate, we can say:

WZ = WT+TZ

YT = TZ+ZY

Notice how both WZ and YT have TZ as part of their segments.

Since WZ and YT are the same length, we can then say,

WZ = YT

WT+TZ = TZ+ZY

WT = ZY

I used substitution for the second step.

The last step is where I subtracted TZ from both sides, and they canceled out.

---------------------

We have the following info:

WT = ZY  (just found)AT = UZ (given)angle AWT = angle UYZ (given)

Normally, the conclusion from here would be "not enough info" because this is a SSA case. Note how the angles are not between the congruent sides. So we wouldn't use SAS.

However, despite us having SSA, it doesn't mean we can't keep going. The reason why is because we have two right triangles. So we can use the HL theorem instead. Statement 1 above refers to the L of HL, while statement 2  is the H.

HL = hypotenuse leg

Again, HL only works for right triangles. It's the only time we can use SSA to prove right triangles are congruent; otherwise, SSA is not a valid congruence theorem.

Jelissa walked 6 miles in 90 minutes. If she continues at this rate, how long would it take her to travel 8 miles?

Answers

Answer:

120 minutes

Step-by-step explanation:

Jelisa walked 6 miles in 90 minutes

The amount of mile walked in 1 minutes is

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= 0.0666666

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= 8/0.066666

= 120 minutes

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Step-by-step explanation:

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Step-by-step explanation:

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Solve for x. Round to the nearest tenth of a degree, if necessary PLEASE HELP I HAVE 10 MINS TILL ITS DUE

Answers

Answer:

x = 47.4

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta  = adj / hyp

cos x = 8.8 / 13

Take the inverse cos of each side

cos ^-1 ( cos x) = cos ^-1( 8.8 /13)

x = cos ^-1( 8.8 /13)

x =47.39633319

Rounding to the nearest tenth

x =47.4

Answer:

36.9 degrees

Step-by-step explanation:

using SOHCAHTOA we can see that we need to use cos because the sides that are given are the adjacent side and the hypotenuse so u have to divide the adjacent by the hypotenuse which is 8.8/13 and you should get 0.8 after you round to the nearest tenth and then you use your calculator to do cos^-1 (0.8) and you get 36.9 after you round to the nearest tenth of a degree

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Answers

Answer:

C. HL

Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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A quadratic monomial with a leading coefficient of 6.

A linear binomial with a leading coefficient of 2.

To find:

The mathematical terms for the given statements.

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Binomial: The expression with two terms.

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Answers

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