Answer:
B, C
Step-by-step explanation:
The only statements that must be true are ones that describe the markings on the diagram:
NO as an angle bisector
N is the vertex of a pair of congruent angles
_____
The only other fact that must be true is that segments on the left side of the diagram are proportional to those (corresponding) on the right. (This is a property of the angle bisector.) There is nothing that says the sides must be equal, or that the triangle is isosceles.
Answer:
C
Step-by-step explanation:
In a parallelogram, consecutive angles are supplementary, sum to 180° , so
3y + 108 = 180 ( subtract 108 from both sides )
3y = 72 ( divide both sides by 3 )
y = 24 → C
Answer:
<em>Most likely time, </em>according to PERT (Program evaluation and review technique).
Step-by-step explanation:
PERT is "a statistical tool used in <em>project management" (Program evaluation and review technique (2020), </em>in Wikipedia), and it is commonly used with CPM <em>(Critical Path Method)</em> to manage projects.
Inside PERT, there are different defined times to accomplished an activity in a project, that is:
- An <em>optimistic time</em> or minimum time required to accomplished an activity, i.e., if everything goes better than normal, the activity is accomplished before expected.
- A <em>pessimistic time, </em>a time quite the opposite to optimistic time.
- A <em>most likely time</em>, or a time required to accomplished an activity if everything goes as expected or normally.
- An <em>expected time</em>, an statistical estimation.
Considering the question, we have that the <em>time</em> when "the first module of the project could be completed":
- "[...] in as few as 15 days" is the <em>optimistic time</em>.
- "[...] or could take as many as 25 days" is the <em>pessimistic time</em>.
- "[...] but most likely will require 20 days" is the <em>most likely time</em>.
As a result, the <em>20-day estimate</em> is called the <em>most likely time</em> in the context of the PERT/CPM techniques.
Answer:
D. 100°
Step-by-step explanation:
A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.
50 + 30 = 80
180 - 80 = 100