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3 years ago

Can you please help me thank you so much

Mathematics

2 answers:

77julia77 [94]3 years ago

8 0

Answer:

I would say angle 6 is supplementary to angle 3.

Step-by-step explanation:

Supplementary angles are angles that add up to 180 degrees.

Angles 6 and 3 are right angles.

90 + 90 = 180

Hope I helped!

ycow [4]3 years ago

4 0

Answer:

Angle 6

Step-by-step explanation:

Supplementary angle equal 180. Angle 3 and 6 are vertical angle which means they are equal. This means Angle 3 also equals 90. So Angle 6 is the angle you need.

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The sum of the squares of two consecutive positive even integers is 52.Find the integers

ankoles [38]

Answer:

The two consecutive positive integers are $4$ and $6$ .

Step-by-step explanation:

Let $x$ be an even integer, then the next even integer is $(x+2)$ .

The sum of the squares of these even integers is $52$ .

We can write the following equation and solve for $x$ .

$x^2+(x+2)^2=52$ .

We expand to get,

$x^2+x^2+4x+4=52$ .

We simplify to get,

$2x^2+4x+4-52=0$ .

This gives us,

$2x^2+4x-48=0$

We divide through by 2 to get,

$x^2+2x-24=0$ .

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We split the middle term to get,

$x^2+6x-4x-24=0$ .

We factor to obtain,

$x(x+6)-4(x+6)=0$

$\Rightarrow (x+6)(x-4)=0$

$\Rightarrow (x+6)=0 or (x-4)=0$

$\Rightarrow x=-6 or x=4$

We discard $x=-6$ since it is not a positive integer.

$\therefore x=4$

Hence the two consecutive positive even integers are,

$4$

and

$4+2=6$

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4 years ago

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Serga [27]

Answer:

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Step-by-step explanation:

The vertex form of the equation is given by $f(x)=a(x-h)^2+k$ .

We plug in the vertex to obtain:

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$a=2$

Therefore the equation is:

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Answer:

Step-by-step explanation:

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