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If a quadrilateral is a parallelogram, then its diagonals bisect each other. If a quadrilateral is a parallelogram, then consecutive angles are supplementary. If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Since we want to solve for the variable <em>x</em>, we want to isolate <em>x</em>
a²x + (a - 1) = (a + 1)x ⇒ Distribute <em>x</em> to (a+1). Also, remove parentheses
a²x + a - 1 = ax + x ⇒ Subtract <em>a</em> from both sides
a²x - 1 = ax + x - a ⇒ Add 1 to both sides
a²x = ax + x - a + 1 ⇒ Subtract (ax + x) from both sides
a²x - (ax + x)= ax + x - a + 1 - (ax+x) ⇒ Simplify. Remember that multiplying positive by negative = negative
a²x - ax - x = ax + x - a + 1 - ax - x ⇒ Simplify
a²x - ax - x = -a + 1 ⇒ Factor out the <em>x</em> from a²x - ax - x
x(a² - a - 1) = -a + 1 ⇒ Divide both sides by (a² - a - 1)
<u>x = (-a + 1) / (a² - a - 1)</u>
However, we need to make sure that the denominator does not equal 0. Therefore, you set the denominator = 0 (just use the quadratic formula for this), and it gives that the denominator =0 when a = (1+√5)/2 AND (1-√5)/2
Therefore, the final answer is
x = (-a + 1) / (a² - a - 1) given that a ≠ (1+√5)/2, a ≠ (1-√5)/2
The longest side of a triangle is always opposite the largest angle of a triangle.
If the smallest angle of the triangle is 20 degrees, then the shortest side is opposite to it. Using this information, we can form the equality
20/100(longest leg/biggest angle) = x/20(shortest leg/smallest angle)
We can cross multiply this to get 400 = 100x. From here it is a simple "find x" and the shortest side is 4 feet.
Answer: 4 to the power of 2 is 16
Step-by-step explanation: so to the power of 2 means multiply the number by itself twice which means you have to do 4 multiplied by 4 which is 16
Answer:
640 im pretty sure
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