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Deffense [45]
3 years ago
7

How do I find the X? (sorry the triangle is really small-)

Mathematics
1 answer:
Ber [7]3 years ago
3 0

Answer:

  C.  98

Step-by-step explanation:

The sum of angles interior to a triangle is 180°, so you have ...

  x + 38° + 44° = 180° . . . the sum of the angles (this is your equation)

  x + 82° = 180° . . . . . . . . collect terms

  x = 180° -82° . . . . . . . . . subtract 82° from both sides of the equation

  x = 98° . . . . . . . . . . . . . . do the arithmetic

_____

<em>Comment on the equation</em>

The relations you learn about in math and geometry can all be translated to equations. When you learn "something" <em>is</em> "something else", anytime you have "something", you can always write the equation ...

  something = (something else)

When you find out "the sum of angles" is "180 degrees", that means you can write the equation ...

  (sum of angles) = 180°

Of course, you find a sum by adding things up. In this case, you're adding up the values of the angles: x, 38°, 44°. The next step is to use the rules of algebra to solve the equation for x.

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Answer:

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Step-by-step explanation:

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a =  {5}^{x}  \\ b =  {5}^{y}  \\  {a}^{y}  \times  {b}^{y}  = 25 \\ prove \: ( {5}^{x} )^{y}  \times ( {5}^{y} ) ^{x}  = 25 \\  {5}^{xy}  \times  {5}^{yx}  = {5}^{2} \\  {5 }^{xy + yx}  = 5^{2}  \\ 5^{2xy}  =  {5}^{2} \\ is \:  \: 2xy = 2 \\ xy =  \frac{2}{2}  \\ xy = 1

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