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Kay [80]
2 years ago
8

Please help!!!!!!!!!!!

Mathematics
1 answer:
boyakko [2]2 years ago
4 0

Answer:

  (7√6)/2

Step-by-step explanation:

The side ratios in these special triangles are ...

  30°-60°-90° triangle: 1 : √3 : 2

  45°-45°-90° triangle: 1 : 1 : √2

This tells you the length of the horizontal line is 7√3, and the value of x is ...

  (7√3)/√2 = (7√6)/2

_____

<em>Additional comment</em>

Call the length of the horizontal line "y". Then the given ratios tell you ...

  7 : y = 1 : √3   ⇒   y/7 = √3/1   ⇒   y = 7√3

and

  x : y = 1 : √2   ⇒   x/y = 1/√2   ⇒   x = y/√2

When we rationalize the denominator, we get ...

  x = (y√2)/2 = ((7√3)√2)/2 = (7√6)/2

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Can someone help? Thanks! :)
sukhopar [10]

Answer:

<em>The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

Step-by-step explanation:

We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;

This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;

5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,

25 + 25 = x^2,

x^2 = 50,

x = √50

Now the same procedure can be applied to this other quadrilateral;

3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,

9 + 49 = x^2,

x^2 = 58,

x = √58

<em>Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )</em>

5 0
2 years ago
Rewrite y + 1 = -2x – 3 in standard form
Misha Larkins [42]

The algebraic expressions can be written as

a+b+c=0

The given expression is,

\begin{gathered} y+1=-2x-3 \\ -2x-y=1+3 \\ -2x-y=4 \\ -2x-y-4=0 \\ 2x+y+4=0 \end{gathered}

7 0
1 year ago
18 points
bearhunter [10]
12 is first one 7 is 2nd one 9 is the last one
4 0
3 years ago
The term –18xy and which other term are like terms?
alexgriva [62]
So,

We know that we cannot add or subtract quantities of the same kind.

-18xy can only be added/subtracted to 4yx, which is the same as 4xy.  The result would be -14xy, or -14yx.

The correct option is B.
6 0
3 years ago
Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.
GREYUIT [131]

Answer:

jk

Step-by-step explanation:

8 0
3 years ago
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