If −2(5. 5x − 6. 3) is equivalent to mx + 12. 6, what is the value of m?
1 answer:
Answer:
For the given expression −2(5. 5 x − 6. 3) = m x + 12. 6 , m = - 11.
Step-by-step explanation:
Here, the given expression is:
−2(5. 5 x − 6. 3) = m x + 12. 6
Using DISTRIBUTIVE PROPERTY: A (B- C) = AB - AC
Simplifying it further, we get:
-2( 5.5 x) + 2( 6.3) = m x + 12 . 6
or, - 11 x + 12. 6 = m x + 12 . 6
or, - 11 x = m x
Now, dividing both sides by x, we get:
or, m = - 11
Hence, for the given expression −2(5. 5 x − 6. 3) = m x + 12. 6 , m = - 11.
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Answer:
AE = 120.83 m DE= 148.66 m
The perimeter of the pentagon is 699.49 meters
Sketch attached.
Step-by-step explanation: First we have to imagine the shape of the pentagon. In order to satisfy the requirement "that E is 50 m from the side AB and 30 m from the side BC," <u><em>this must be a concave pentagon.</em></u>
To determine the lengths of sides AE and DE, subtract the given distances of E from the lines, and use those values in the Pythagorean Theorem.
AE: c² = 110² + 50² c=√14600 AE = 120.830 m
DE: c² = 100² + 110² c = √22100 DE = 148.661 m
Add those lengths and the remaining sides of the 140m × 150m rectangle to calculate the perimeter.
280+150+120.83+148.66= 699.49
