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2 years ago

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Triangle DEF is congruent to triangle GHI. Side DE measures 52. Side GH measures 10x-13. Side HI measures 12x-16 find the value

of x

1 answer:

Lapatulllka [165]2 years ago

3 0

Check the picture below.

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Determine the value of c that will result in a perfect square trinomial. <br> w^2+6w+ c =130+c

Genrish500 [490]

Answer:

The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

Step-by-step explanation:

We need to determine the value of c that will result in a perfect square trinomial.

$w^2+6w+ c =130+c$

Perfect square trinomial are of form: $a^2+2ab+b^2=(a+b)^2$

Now, the equation given is:

$w^2+6w+ c =130+c$

Looking at the term 6w, we can write it as 2(w)(3)

We are given: a = w, 2ab = 2(w)(3) so, b will be: (3)^2

So, we will be adding (3)^2 on both sides

$w^2+6w+ c=130+c\\w^2+2(w)(3)+ (3)^2 =130+(3)^2\\The\:left\:side\:becomes: a^2+2ab+b^2\\We\:can\:write\:it\:as: (a+b)^2\\We\:have\:a=w\: and\: b=3\\(w+3)^2=130+9\\(w+3)^2=139$

So, The value of c that will result in a perfect square trinomial is (3)^2 or 9

The perfect square trinomial is: $(w+3)^2=139$

3 0

2 years ago

What is the absolute value of 12

snow_lady [41]

12 since 12 is not negative. All absolute values r positive

4 0

3 years ago

The volume of the following figure = ___________ cm3.

Afina-wow [57]

Answer:

288

Step-by-step explanation:

12 x 8 x 3 = 288

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2 years ago

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Evaluate the expression 2n - 6 if n = 16.

V125BC [204]

Answer:

$26$

Step-by-step explanation:

$2n-6$

Given that:

$n=16$

To evaluate the expression, we must simply substitute the given value of $n$ , which is $16$ , for $n$ :

$2(16)-6$

Multiply:

$32-6$

Subtract:

$26$

-

To check your work, simply set the given expression equal to our solution, $26$ :

$2n-6=26$

Add $6$ to both sides of the equation:

$2n=32$

Divide both sides of the equation by the coefficient of $n$ , which is $2$ :

$n=16$

Since it matches the given value of $n$ , our solution is correct!

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2 years ago

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What is 82.5 in fraction

Cerrena [4.2K]

<span>165/2
Hope this helps (:

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2 years ago

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