Answer:
8x + (6x + 6) = 90°
x = 6°
Step-by-step explanation:
because it is a right angle, the sum of the angles = 90°
8x + (6x + 6°) = 90°
simplify:
14x + 6° = 90°
subtract 6° from each side:
14x = 84°
divide both sides by 14:
x = 6°
<u>Understanding:</u>
The sum of 3 times a number (i'll define it as x) and 4 means 
is between -8 and 10 which means the value of 3x+4 is less than 10 and greater than -8. With that said, the inequality for that problem would be 
.
<u>Solving the problem:</u>
Now we know that , you can solve the problem by <em>subtracting 4</em> from each side then<em> dividing by 3.</em>
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<u>Final Answer:</u>
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Based on the given summation notation, the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
<h3>How to determine the summation expression?</h3>
The expression is given as:
43Σn=1(3+9n)
As a general rule, if a summation notation is represented using the following expression
Σ(a + bn)
The equivalent expression of the above summation notation is
Σa + bn
Where the variable a is a constant in the expression
This means that:
Σ(a + bn) = Σa + bn
Using the above equation as a guide, we have the following equivalent equation
43 Σ n=1 (3+9n) = 43 Σ n=1 3 + 43 Σ n=1 9n
Hence, based on the given summation notation; the expression that shows one way to simplify 43 Σ n=1 (3+9n) is (a) 43 Σ n=1 3 + 43 Σ n=1 9n
Read more about summation notation at:
brainly.com/question/16599038
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When baking and you need to know whether you have to buy a half a gallon or a gallon:)
