Answer:
Option H
Step-by-step explanation:
Option F
If two lines are cut by a transversal so that a pair of corresponding angles are congruent, then the lines are parallel.
True.
Option G
If two lines are cut by a transversal so that a pair of alternate exterior angles are congruent, then the lines are parallel.
True
Option H
If two line are cut by a transversal so that a pair of vertical angles are congruent, then the lines are parallel.
Since, vertical angles don't prove the lines cut by a transversal are parallel.
So the statement is False.
Option J
If two lines are are cut by a transversal so that a pair of same side interior angles are supplementary, then the lines are parallel.
True.
Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:

which contains multiple solution if one tries to solve for x when the differentiated form is 0.
I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.
If, however, the function is

Then differentiating and equating to 0 yields:

which gives:

or

We reject x=5 as it is when it ix the maximum and thus,

, for
<span>−12x3y5 − 9x2y2 + 12xy3</span>
-3xy^2(4x^2y^3+3x-4y)
The given variable is a continuous variable.
<h3>What is
continuous variable?</h3>
A quantitative variable can be either continuous or discrete depending on whether it is normally obtained through measurement or counting. A variable is continuous over a range of real values if it can take on any two specific real values and all other real values in between.
<h3>What is mercury thermometer?</h3>
In Amsterdam, physicist Daniel Gabriel Fahrenheit created the mercury thermometer, also known as a mercury-in-glass thermometer. It consists of a glass tube with a small diameter and a mercury bulb attached to it; the bulb contains far more mercury than the tube does.
<h3>According to the information:</h3>
A mercury thermometer was used to take the subject's temperature.
Because of the temperature:
- Not counting but measuring it.
- You can use a decimal number to represent its value.
- As a result, it is open to any value inside an interval.
- Temperature is therefore a continuous variable.
- The only format in which discrete values can be stated is as whole numbers.
so
Temperature is a continuous variable,
To know more about continuous variable visit:
brainly.com/question/14591841
#SPJ4
The formula for the area of a triangle is base*height/2. So lets input the number.
15*40=600/2=300 cm2