Which EST graph correctly represents the information on the table
1 answer:
Answer:
the first one
Step-by-step explanation:
A graph showing the Earliest Start Times (EST) for project tasks is computed left to right based on the predecessor task durations. For dependent tasks, the earliest start time will be the latest of the finish times of predecessor tasks.
The first graph appears to appropriately represent the table values, using edges to represent task duration, and bubble numbers to represent start times.
The second graph does not appropriately account for duration of predecessor tasks.
The third graph seems to incorrectly compute task completion times (even if you assume that the edge/bubble number swap is acceptable).
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By definition, two angles are supplementary if the sum of them is 180 degrees. In this case (see figure attached with the answer) the line AD is transversal to lines AB and DC. This is a proof of the Same-side interior angle theorem.
This theorem states that if we have two lines that are parallel and we intercept those two lines with a line that is transversal to both, same-side interior angles are formed, and also sum 180º, in other words, they are supplementary angles.
Then:
By the definition of a parallelogram, AB∥DC. AD is a transversal between these sides, so ∠A and ∠D are <em><u>same-side interior angles</u></em>. Because AB and DC are <em><u>parallel</u></em>, the same-side interior angles must be <em><u>supplementary</u></em> by the same-side interior angles theorem. Therefore, ∠A and ∠D are supplementary.
Hey!
To solve this equation, we'd first have to apply the distributing rule to this equation.
<em>Original Equation :</em>
<em>New Equation {Changed by Applying the Distribution Rule} :</em>
· 3a · 2 + 
And now we simplify.
<em>Old Equation :</em>
· 3a · 2 +
<em>New Equation {Old Equation Simplified} :</em>
- 12a + 4
<em>So, the equation
simplified is</em> - 12a + 4.
Hope this helps!
- Lindsey Frazier ♥
To solve this equation, we'd first have to apply the distributing rule to this equation.
<em>Original Equation :</em>
<em>New Equation {Changed by Applying the Distribution Rule} :</em>
And now we simplify.
<em>Old Equation :</em>
<em>New Equation {Old Equation Simplified} :</em>
<em>So, the equation
Hope this helps!
- Lindsey Frazier ♥