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3 years ago

Find the value of x- helppp

Mathematics

2 answers:

Evgen [1.6K]3 years ago

7 0

Answer:

60º

Step-by-step explanation:

A triangle is 180º so you do (180-60)/2 and you get that x=60.

Hope that helps :)

nekit [7.7K]3 years ago

6 0

Answer:

Hey love! x = 60

Step-by-step explanation:

Because a triangle adds up to 180 so

180 - 60 = 120 and sense both angles will be the same measure I divide 120 by 2 and get 60 so

x =60 Hope that helps!

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Four brothers have ages which are consecutive even integers. If the product of the ages of the two middle brothers is 528, how o

exis [7]

Answer:

The oldest brother is of age $26$ years.

Step-by-step explanation:

As the age of four brothers are consecutive even integers.

We assume that the ages are $x,(x+2),(x+4),(x+6)$ as their respective ages.

And the age of the youngest brother $x$ yrs.

Age of the oldest brother $(x+6)$ yrs.

According to the question

Product of two middle brother that is $(x+2)(x+4) =528$

So we will arrange this in our equation and solve the quadratic.

$(x+2)(x+4) =528$

$x^{2}+4(x)+2(x)+8 =528$

$x^{2}+4(x)+2(x)+8-528=0$

$x^{2}+6(x)-520=0$

Solving the quadratic by using middle term splitting or directly with quadratic formula we can find the value of 'x' .

Here it is solved with quadratic formula:

Comparing with standard equation $ax^{2}+b(x)+c=0$ ,here $a=1,b=6\ and\ c=-520$ .

$x= \frac{-b \pm \sqrt{b^2-4ac} }{2a} = \frac{-6 \pm \sqrt{6^2-4\times \ (-520)} }{2\times 1}$

$x=20,-26$

We will work with the positive value of (x) so the the age of the youngest brother $=(x)=20$ yrs.

And the age of the the oldest brother $=(x+6)=(20+6)=26$ years.

The age difference is of $(26-20)=6$ years.

4 0

4 years ago

PLEASE HELP ME!!!!!!!!!

vitfil [10]

$(x - 4) {}^{2} - 28 = 8 \\ (x - 4) {}^{2} = 8 + 28 \\ (x - 4) {}^{2} = 36$

This must be true for some value of x, since we have a quantity squared yielding a positive number, and since the equation is of second degree,there must exist 2 real roots.

$\sqrt{(x - 4) {}^{2} } = ± \sqrt{36} \\x - 4 = ±6 \\ x _{1}- 4 = 6 \: \: \: \: \: \: \: \: \: \: x _{2}- 4 = - 6 \\ x_{1} = 6 + 4 \: \: \: \: \: \: \: \: \: \: x_{2} = - 6 + 4 \\ x_{1} = 10 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x_{2} = - 2$

Well he started off correct to the point of completing the square.

$(x - 3) {}^{2} = 16 \\ x - 3 = ±4 \\ \: x_{1} - 3 = 4 \: \: \: \: \: \: \: \: \: \: \: \: x_{2} - 3 = - 4 \\ x_{1} = 7 \: \: \: \: \: \: \: \: \: \: x_{2} = - 1$

8 0

1 year ago

Find the slope and the y-intercept of the graph of y−3.5=−2x.

Trava [24]

Answer:

m = -2

b = 3.5 or (0, 3.5)

Step-by-step explanation:

y = mx + b

m = slope

b = y-intercept

y − 3.5 = −2x

y = -2x + 3.5

m = -2

b = 3.5

3 0

3 years ago

marc bought a new video game for $50. After beating the game he sold.it for 20% less than the orginal price. How much did he sel

Arlecino [84]

The answer would be $40.

3 0

3 years ago

Read 2 more answers

84 is 60% of what number?

Fudgin [204]

To convert a percent to a decimal, you divide by 100.

60% = 0.60

If x is the unknown number, the word is means equal

84 = 0.60 * x

Divide both sides by 0.60

84/0.60 = (0.60/0.60)* x = x

140 = x

5 0

4 years ago

Read 2 more answers