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3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

rjkz [21]3 years ago

3 0

Answer: x=11

Step-by-step explanation:

35+5x=90

5x=55

x=11

Jlenok [28]3 years ago

3 0

Answer: The answer is: " x = 11 . "

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<u>Step-by-step explanation</u>:

The 2 (two) angles shown form a "right angle" (i.e. "90° angle") ;

that is, the 2 (two) angles are "complementary" (i.e. their measures add up to: " 90° " ,

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So, add up the 2 (two) given angles, set the sum equal to 90 ; and solve for "x" ; as follows:

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<u>Note</u>: One of the given angles measures: "5x" ;

The other given angle measures: "35" ;

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5x + 35 = 90 ;

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Subtract "35" from Each side of the equation:

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5x + 35 - 35 = 90 - 35 ;

to get:

5x = 55 ;

Now, divide Each Side of the equation by: "5" ;

to isolate "x" on one side of the equation;

and to solve for "x" ;

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5x / 5 = 55 / 5 ;

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to get : " x = 11 " .

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Hope this answer—and explanation—are helpful to you!

Best wishes!

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In hopes of encouraging healthier snacks at school, Zack brought in a tray of carrot sticks and apple slices to share. The tray

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Answer:

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Step-by-step explanation:

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3 years ago

What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?

vodomira [7]

<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

$2m^2-16m=-8$

Next, divide both sides by 2:

$m^2-8m=-4$

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

$m^2-8m+16=12$

Next, factor the left side:

$(m-4)^2=12$

Next, square root both sides of the equation:

$m-4=\pm \sqrt{12}$

Next, add 4 to both sides of the equation:

$m=4\pm \sqrt{12}$

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

$m=4\pm 2\sqrt{3}$

<h2>Answer:</h2>

In exact form, your answer is $m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}$

In approximate form, your answers are (rounded to the hundreths) $m=7.46, 0.54$

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3 years ago