For this case, we have that:
- By definition, a rectangle is a parallelogram. So, we discard the first option.
- On the other hand, we have that all rectangles can not be squares, since a square has all its sides equal, while the rectangle, poir definition, no.So, we discard the second option.
- All quadrilaterals are not rectangles because there are other figures with four sides that are not necessarily rectangular. We discard the third option.
- Finally, we have that all squares are rectangles. This statement is true since squares can be rectangles with pairs of equal sides.
Answer:
Option D
Answer:
The expression 3p⁵ ₓ 8p³ / 2p can be simplified to 12p⁷.
Step-by-step explanation:
To simplify:
3p⁵ ₓ 8p³ / 2p
= (3 ₓ 8)(p⁵ ₓ p³) / 2p
= 24p⁸ / 2p
= 12p⁷
A is a line that intersects two coplanar lines at two distinct points. The diagram shows the eight angles formed by <span>a transversal t and two lines / and m.
</span>A transversal that intersects two lines forms eight angles;Corresponding angles,Alternate exterior angles, Alternate interior angles,Consecutive exterior angles, Consecutive interior angles.
Hope it helps
Answer is 5
Explanation:
To go from (-1,0) to (0,5) we have to go up 5 units and right one unit.
Rate of change means slope, which is change in y over change in x.
If our change in y is positive 5 and our change in x is positive one, we can put the rate of change as 5/1
This simplifies to 5.
Using the normal distribution, it is found that the replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean 
and standard deviation 
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
In this problem, the mean and the standard deviation are, respectively, given by 
.
The desired value is the 82nd percentile, which is X when Z = 0.915, hence:
X - 9.4 = 0.915(2)
X = 11.23
The replacement time that separates the top 18% from the bottom 82% is of 11.23 years.
More can be learned about the normal distribution at brainly.com/question/24663213
