<h2>
Answer:</h2>
Since both angles are vertical angles, we need to set them equal to each other.
The final answer is <em>x = 10</em>.
The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
<h3>How to simplify the expression?</h3>
The expression is given as:
(5.1)(5.12)4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4
Rewrite the expression properly as follows:
(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1) * (5.1^8)
Apply the power law of indices
(5.1)(5.1^2)^4 = (5.1)^(1 + 8)
Evaluate the sum
(5.1)(5.1^2)^4 = (5.1)^9
Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9
Read more about expressions at
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If "x" is the number of car sales last year, then (x + 0.07x) is this years sales.
x + 0.07x = 382
1.07x = 382
x = 382/1.07
x = 357
