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3 years ago

13

Find the value of x, please help!!!!

2 answers:

Amiraneli [1.4K]3 years ago

8 0

When a figure has 4 sides, the sum of its angles will always be equal to 360 degrees. The image above can be represented by the following formula:

x + 103 + 122 + 58 = 360

Simplify the left side of the equation:

x + 283 = 360

Subtract 283 from both sides of the equation:

x + 283 ( – 283 ) = 360 ( – 283 )
x = 77

We have now proven that the value of “x” is equal to 77 degrees.

I hope this helps!

Fudgin [204]3 years ago

4 0

Value of x is 77 degrees

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3 years ago

(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated!

Andrei [34K]

Answer:

$x = 7$

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

$\frac{1}{ {27}^{x - 8} } = 27$

2) Multiply both sides by 27^x - 8.

$1 = {27} \times 27^{1 + x - 8}$

3) Use the product rule: x^a x^b = x^a+b.

$1 = {27}^{1 + x - 8}$

4) Simplify 1 + x - 8 to x - 7.

$1 = {27}^{x - 7}$

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

$log_{27}1 = x - 7$

6) Use Change of Base Rule.

$\frac{ log_1 }{ log{27} } = x - 7$

7) Use rule of 1: log 1 = 0.

$\frac{0}{ log_{27}} = x - 7$

8) Simplify 0/log_27 to 0.

$0 = x - 7$

9) Add 7 to both sides.

$7 = x$

10) Switch sides.

$x = 7$

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

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telo118 [61]

Answer:

Step-by-step explanation:

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2 years ago

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laila [671]

So a²+b²=c²
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3 years ago

Read 2 more answers