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3 years ago

What is two numbers that add to 20 and the difference is 6

Mathematics

2 answers:

loris [4]3 years ago

8 0

13 and 7.

Steps

x + x = 20

x - x = 6

2x = 26

x = 13

x = 20 - 13

x = 7

grigory [225]3 years ago

5 0

Answer:

13 and 7

Step-by-step explanation:

We have two unknown numbers that add up to 20 and subtract to 6. The question is asking us to find out these two hidden numbers.

Let's form two equations.

x + y = 20

and

x - y = 6

Since we have a positive y and negative y, we can use the addition method to these systems of equations.

x + y = 20

x - y = 6

+-----------------

2x = 26

Now isolate x to get x.

Divide both sides by 2 :

x = 13

Now that we have x, we can plug it into the equations.

13 + y = 20

13 - y = 20

So what number will make this true. Use the backwards method :

20 - 13 = 7

Therefore, 13 and 7 are our two numbers.

You might be interested in

The length of a rectangle is 3x + 6. The width of the rectangle is 4x + 2. Find the area and perimeter of the rectangle.

sladkih [1.3K]

Step-by-step explanation:

A= l × w

A= (3x+6)×(4x+2)

A= 12x²+6x+24x+12

A=12x²+30x+12

P=2l+2w

P=2(3x+6)+2(4x+2)

P=6x+12+8x+4

P=14x+16

8 0

3 years ago

PLS HELP ME IVE BEEN TRYING

MrRissso [65]

Answer:

try and let me know is it correct or not line A-4 lineB-8

Step-by-step explanation:

i also use mathswatch

8 0

4 years ago

I need help with both of these questions.

grigory [225]

Answer:

1) b=14.34 units.

2) a=20.48 units

Step-by-step explanation:

since, the triangle is a right angled triangle so we can use the trignometric identity in order to find the values of a and b.

let the base be denoted by 'B'.

height or perpendicular side of the triangle be denoted by 'P'.

and hypotenuse of the triangle be denoted by 'H'.

then using sine and cosine trignometric identity we have:

$\sin x=\dfrac{P}{H}$

and $\cos x=\dfrac{B}{H}$

Here x=35°

and H=25 units , P=b and B=a

Hence $\sin 35=\dfrac{b}{25}$

as $\sin 35=0.573576$

hence, b=14.3394 units.

also $\cos35=\dfrac{a}{25}$

and $\cos35=0.819152$

Hence a=20.4788 units

In two decimal places we could represent it as:

a=20.48 units

and b=14.34 units.

6 0

3 years ago

SEE PICTURE FOR QUESTION

castortr0y [4]

I think the answer is B

7 0

3 years ago

What value of x would make Bl parallel to RA?

igomit [66]

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

$\angle ATR\cong \angle ITB$ [Common angles]

$\angle ART\cong \angle IBT$ [Corresponding angle]

$\triangle ATR\sim \triangle ITB$ [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

$\dfrac{AT}{IT}=\dfrac{AR}{IB}$

$\dfrac{x}{x+8}=\dfrac{12}{18}$

$\dfrac{x}{x+8}=\dfrac{2}{3}$

On cross multiplication, we get

$3(x)=2(x+8)$

$3x=2x+16$

$3x-2x=16$

$x=16$

Therefore, the correct option is C.

8 0

3 years ago