Answer:
<u>True </u>Postulates are used to prove theorems.
<u>True</u> Two points determine a line
Step-by-step explanation:
A postulate, in mathematics, is a numerical property that cannot be directly proven, but it is still present, and no has exceptions. Postulates are often used to prove theorems, particularly in geometry. An example of this can be found in the midsegment theorem which states that the average of the two bases in a trapezoid gives the length of the midsegment. Depending on how one chooses to prove this, one could potenitally need the Parts-whole Postulate theorem. Thus, one can state that Postulates are used to prove theorems.
A line can be drawn to connect any two given points. Therefore, one can states that two points determine a line, as only two points are needed for one to draw a line between them.
Answer:
Step-by-step explanation:
The equation of a circle with center (a,b) and radius r, is given by:
The given circle has centre (0,-6) and radius r=4.
We substitute these values into the formula to get:
This implies that:
When we expand, we get:
The general form is :
We are given an equation . Let's solve it!
The answer is not any out of given ones. It is 24.4
Answer:10.2 inches
Step-by-step explanation:
we know that
In this problem we have two cases
First case
The given lengths are two legs of the right triangle
so
Applying the Pythagoras Theorem
Find the length of the hypotenuse
substitute
Second case
The given lengths are one leg and the hypotenuse
so
Applying the Pythagoras Theorem
Find the length of the other leg
substitute
Find the difference between the two possible lengths of the third side of the triangle
so
Answer:
Step-by-step explanation:
In the attachment!