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2 years ago

What are the values of x and y?

Mathematics

1 answer:

Ede4ka [16]2 years ago

3 0

Step-by-step explanation:

In figure:

∠PRT+∠RTP+∠TPR=180

(angle sum property of triangle)

⇒x+(180

−∠RTQ)+60

=180

(linear pair)

⇒x+(180

−97

)+60

=180

⇒x=31

Now, ∠PRT+∠TRQ+∠QRS=180

(angle of straight line)

⇒x+48

+y=180

⇒31

+48

+y=180

⇒y=101

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Un padre tiene actualmente cuatro veces la edad de su hijo. Cuando pasen 5 años, su edad será solo tres veces superior. ¿Qué eda

julsineya [31]

Answer:

I. Hijo, h = 10 años

II. Padre, P = 40 años

Step-by-step explanation:

Sea la edad del padre P.
Sea la edad del hijo h.

Traduciendo el problema verbal a una expresión algebraica, tenemos;

P = 4h .....ecuación 1.

P + 5 = 3(h + 5) ........ecuación 2.

Simplificando aún más, tenemos;

P + 5 = 3h + 15

P = 3h + 15 - 5

F = 3h + 10 ......ecuación 3.

Sustituyendo la ecuación 1 en la ecuación 3;

4h = 3h + 10

4h - 3h = 10

h = 10 años

A continuación, encontraríamos la edad del padre;

P = 4h

P = 4 * 10

P = 40 años

4 0

2 years ago

Solve the following system of equations using Substitution: Submit your answer as an ordered pair. 2x−3y=32x-3y=32x−3y=3 x=y+2x=

exis [7]

9514 1404 393

Answer:

(3, 1)

Step-by-step explanation:

We assume you want the solution to the system ...

2x−3y=3
x=y+2

The second equation gives a nice expression for x, so we can use that in the first equation.

2(y+2) -3y = 3 . . . . substitute for x in the first equation

2y +4 -3y = 3 . . . . . eliminate parentheses

-y = -1 . . . . . . . . . . . collect terms, subtract 4

y = 1 . . . . . . . . . . . . multiply by -1

x = 1 +2 = 3 . . . . . . substitute for y in the second equation

The solution is (x, y) = (3, 1).

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3 years ago

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balu736 [363]

Answer:

Step-by-step explanation:

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1 year ago

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Kamila [148]

Answer:

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Step-by-step explanation:

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3 years ago

An icecube is made of 5 fluid ounces of water. About how many millilters of water does it take to make to the icecube. Round my

Dafna11 [192]

It takes 147.87 milliliter to make ice cube

Solution:

Given that ice cube is made of 5 fluid ounces of water

To find: milliliters of water to make to the ice cube

So we have to convert 5 ounce to milliliter

Use the following conversion factor

1 ounce = 29.5735 milliliter

Therefore,

5 ounce = 5 x 29.5735 milliliter

5 ounce = 147.8675 milliliter

On rounding to nearest hundred ( 2 decimal places ) , we get

5 ounce = 147.87 milliliter

Thus it takes 147.87 milliliter to make ice cube

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2 years ago