A new machine tool is brought into a production line to help speed production. You take 200 seconds to produce the first widget.
2 answers:
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Answer:
Step-by-step explanation:
By the negative exponent rule, you have that:
By the exponents properties, you know that:
Therefore, you can rewrite the left side of the equation has following:
Descompose 32 and 8 into its prime factors:
Rewrite:
Then:
As the base are equal, then:
Solve for x:
<h2>Hello!</h2>
The answers are:
Question 7:
154.29°
Question 8:
Yes, because the opposite sides are congruent.
<h2>Why?</h2>For question 7:
We know that the sum of all interior angles of any polygon is determined by the following formula:
Therefore the sum of all interior angles of a 14-gon is equal to 2160°, so, the measure of each interior angle is given by the following calculation:
Each interior angle is equal to:
For question 8:
We know that a quadrilateral is a parallelogram when the opposite sides are parallel or congruent.
From the statement we know that:
BE≅ED
and
AE≅EC
So, we can assume that the triangles formed by the sides BE and AE, and the sides EC and ED, are also congruent, meaning that the opposite sides BA and CD are congruent, so, the quadrilateral is a parallelogram.
Have a nice day!