It is given,
rqs,
the reflexive property,
sas
Answer:
<h2>33</h2>
Step-by-step explanation:
Given the average low temperature by month in Nashville is represented by the function f(x)=-1.4x² + 19x +1.7, where x is the month, the average rate of change is expressed as d[f(x)]/dx = 2(1.4x) + 19
d[f(x)]/dx = 2.8x + 19
Since the number of months between March and August is 5 months and x is in months, hence we will substitute x = 5 into the resulting function to get the average rate of change from March to August as shown;
d[f(x)]/dx at x = 5
= 2.8(5)+ 19
= 14 + 19
= 33
<em>Hence the average rate of change from March to August is 33</em>
Answer:
volume of trapezoidal prism = 15x^2 cubic units
Step-by-step explanation:
First, area of the trapezoidal bases.
Parallel sides measure x and 2x, for an average of 1.5x.
Height = x
Area of trapezoidal base = 1.5x*x = 1.5x^2
Volume of prism = area base * height
(length does not matter, height does)
= 1.5x^2 * 10 = 15x^2
Answer:
The given statement is true.
Step-by-step explanation:
A corollary is a statement that can be easily proved using a theorem. This statement is true.
A corollary is usually defined as some idea formed from something that is already existing or already been proven.
This is the reason it is not difficult to prove as it has already been proven.
Answer:
Therefore the value of tangent of ∠
is
°.
Step-by-step explanation:
Given that,
In Δ
, ∠
°,
and 
and we have to find the value of tangent of ∠
Diagram of the given triangle is shown below:
Now,
Δ
is a right angle triangle, so we can use all the trigonometric ratio.


= 
tangent of ∠
=
= 
= 
= 
∴∠
= 
=
° ≅
°
Therefore the value of tangent of ∠
is
°.