MATHEMATICS HIGH SCHOOL

e) Andy is 2 times younger than his sister and his father is 25 years older than him. If the total of their ages is 53 years, what is Andy’s age and his father’s age?

Answers

Answer 1
Answer:

An equation is formed of two equal expressions. The age of Andy is 7 years, while the age of his father is 32 years.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let Andy's sister's age be represented by y, while the age of Andy is represented by x. Given that Andy is 2 times younger than his sister. Therefore, we can write the equation as,

Sister's age, y = 2x

Also, Andy's father is 25 years older than him. Therefore, we can write,

Father = x + 25

Since the sum of all the people's age is 53. Therefore, we can write,

Sum = y + x + Father's age

53 = 2x + x + x + 25

53 = 4x + 25

28 = 4x

x = 28/4

x = 7

Therefore, the age of the family members can be written as,

Andy's age = x = 7 years

Andy's sister's age = 2x = 2(7) = 14 years

Andy's father’s age = x + 25 = 7 + 25 = 32 years

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Answer 2
Answer: Andy is 7, his sister is 14, and their dad is 32.

7+25= 32

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Use the following frequency distribution to determine the midpoint of the second class.A. 17.0

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Answers

Class         Frequency    Mid-point
13-15           7            13+15/2=20.516-18           4            16+18/2=1719-21           3            19+21/2=2022-24           5            22+24/2=2325-27           7            25+27/2=2628-30           7            28+30/2=29

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The triangles are similar. If PN = 12, QP = 8, and PM = 17, find QR.

Answers

\Delta QRN\sim\Delta PMN\n\n(|QR|)/(|QN|)=(|PM|)/(|PN|)\n\n\n(|QR|)/(8+12)=(17)/(12)\n\n(|QR|)/(20)=(17)/(12)\ \ \ /\cdot20\n\n|QR|=(17)/(12)\cdot20\n\n|QR|=(17)/(3)\cdot5\n\n|QR|=(85)/(3)\n\n|QR|=28(1)/(3)

Is this statement true or false?
Circumference is the distance around the outside of a circle

Answers

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What’s the length =

Answers

Answer:

L = 15 in.

Step-by-step explanation:

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Answers

Answer:

The other acute angle is 64°

Step-by-step explanation:

Given a right triangle in which  the measure of one acute angle is 26°

we have to find the measure of the other acute angle.

Let the required acute angle is x

By angle sum property, the sum of all angles of triangle is 180°

x^(\circ)+26^(\circ)+90^(\circ)=180^(\circ)

x^(\circ)+116^(\circ)=180^(\circ)

x^(\circ)=180^(\circ)-116^(\circ)

x^(\circ)=64^(\circ)

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Answers

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Answer:

the other person is correct!!!

Step-by-step explanation:
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