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3 years ago

The answers for this problem I need to do.

Mathematics

1 answer:

lilavasa [31]3 years ago

3 0

Answer:

Answer is 2x=128 and x=64

Step-by-step explanation:

 $two \: parallel \: lines \: cut \: by \: a \: transversal \: line \\ made \: alternate \: angles \: are \: equal \: \\ therefore \: 2x = 128 \\ x = \frac{128}{2} \\ x = 64$ 

 HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION. 

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3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum

ivolga24 [154]

Answer: 46 years

Step-by-step explanation:

Let the father's age be x and the son's age be y, then 3 years ago:

Father = x - 3

son = y - 3

Then , from the first statement :

x - 3 = 3 ( y - 3 )

x - 3 = 3y - 9

x = 3y - 9 + 3

x = 3y - 6 .......................................... equation 1

In five years time

father = x + 5

son = y + 5

Then , from the second statement

x + 5 = 2 ( y + 5 )

x + 5 = 2y + 10

x = 2y + 10 - 5

x = 2y + 5 ........................ equation 2

Equating equation 1 and 2 , we have

3y -6 = 2y + 5

add 6 to both sides

3y = 2y + 5 + 6

subtract 2y from both sides

3y - 2y = 11

y = 11

substitute y = 11 into equation 1 to find the value of x

x = 3y - 6

x = 3(11) - 6

x = 33 - 6

x = 27

This means that the father is presently 27 years and the son is presently 11 years.

In four years time

father = 27 + 4 = 31

son = 11 + 4 = 15

sum of their ages in four years time will be

31 + 15 = 46 years

5 0

3 years ago

Read 2 more answers

FAST

sertanlavr [38]

Answer: The system consists of parallel lines

Step-by-step explanation:

Given system of lines :

$y=\dfrac13x-4$

$3y-x=-7$

Substitute $y=\dfrac13x-4$ in $3y-x=-7$ , we get

$3(\dfrac13x-4)-x=-7\\\\\Rightarrow\ x-12-x=-7\\\\\Rightarrow\ -12=-7$ , which is not true.

That means , system has no solution.

i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]

6 0

2 years ago

What is -65 x -2? 5j + 10j?

dolphi86 [110]

They are both simple exercises in addition.
The solutions are:

(-65) x (-2) = 130

(5j) + (10j) = 15j

8 0

3 years ago

Does anyone know this

Step2247 [10]

The answer is C I think

3 0

3 years ago

2(w-3)-5w=-3(w+3) , what’s the solution

8090 [49]

Actually, there would be no solution because the w's cancel out so that leaves -6=-9 and that is not true.

3 0

3 years ago

Read 2 more answers