Answer:
96.512 °F < x < 591.242 °F
Step-by-step explanation:
We are given;
Melting point = 35.84 °C
Boiling point = 310.69 °C
Now, we are given that formula to convert °C to °F is;
°C = (5/9)°F
Thus if the temperature in Fahrenheit is x, then;
Melting point is; 35.84 °C = (5/9)x°F - "32"
x = ((9 × 35.84)/5) + 32
x = 96.512 °F
Similarly, for Boiling point;
Boiling point is;
310.69 °C = (5/9)x°F - "32"
x = ((9 × 310.69)/5) + 32
x = 591.242 °F
Now, we are told that matter is in its liquid form when it is between melting and boiling point.
Thus, range of x in inequality form is;
96.512 °F < x < 591.242 °F
Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
You could use so many for example 4, 10, 57, 5729, any number above 4 would work since that plus 8 would be greater than 11
Answer:
The average rate of change is -3.
Step-by-step explanation:
We are given the function:
And we want to find the average rate of change from <em>x </em>= 0 to <em>x </em>= 3.
In other words, we will compute the function at the two endpoints, and then find the slope of the line that crosses the two points.
For our first endpoint at <em>x</em> = 0, our function evaluates to:
So, our first point is (0, 9).
For our second endpoint at <em>x</em> = 3, our function evaluates to :
So, our second point is (3, 0).
Then by the slope formula, our average rate of change will be:
