Answer:
1. KLP + PLM = 180 degrees (straight line)
2. 3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. x = 27
Step-by-step explanation:
1. Notice that angle KLP + angle PLM is a straight line, so KLP + PLM = 180 degrees (straight line)
2. angle KLP = 3x, so
3x + angle PLM = 180 degrees
3. angle PLM = 180 - 3x
4. PMN = P + PLM (Exterior angle)
5. 2x + 72 = x + 180 - 3x
6. 5 gives 4x = 108, so x = 27
The mean is the average.
i’ve found this a helpful way to remember:
the medians the middle
the mean old average
Answer:
1) 20 stars; 30 points.
2) 28 stars, 42 points.
3) 38 stars, 57 points.
Step-by-step explanation:
<h3>
The missing table is attached.</h3>
Let be "x" the numbers of stars Roberto collects and "y" his total points.
The proportional relationship has this form:
Where "k" is the constant of proportionality.
We can choose the point 
) from the table, where:
Substituting these values into and solving for "k", we get:
Knowing the value of "k", we determine that the following Numbers of stars and the Total points could be used as the missing values in the table:
1) For 
:
2) For 
:
3) For 
:
Answer: The figure drawn by Alan is a rhombus.
Step-by-step explanation:
Given: Allan drew a polygon with 4 sides and 4 angles with two properties:-
- All four sides are equal.
- None of the angles are right angles.
We know that only a rhombus is a flat shape with 4 equal straight sides and 4 angles .All sides have equal length. Its angles need not to be right angle.
Therefore, the figure drawn by Alan is a rhombus.
