Answer : The Euclidean geometry is a mathematical system that is attributed to Alexandrian Greek mathematician Euclid. He described mostly about the Elements in geometry. The method consisted of assuming a small set of intuitively appealing axioms, and deducing many other propositions from these.
The five basic postulates of euclidean geometry are as follows;
- A straight line may be drawn between any two points.
- A piece of straight line may be extended indefinitely.
- A circle may be drawn with any given radius and an arbitrary center.
- All right angles are equal.
- If a straight line crossing two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if extended indefinitely, meet on that side on which are the angles less than the two right angles.
Given:
Consider the below figure attached with this question.
In circle A below, chord BC and diameter DAE intersect at F.
The arc CD = 46° and arc BE = 78°.
To find:
The measure of angle BFE.
Solution:
According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.
Using intersecting chords theorem, we get
Therefore, the measure of angle BFE is 62°.
Y= ax² -4x +3
-b/2a is x - coordinate of the vertex,
line of symmetry x=-2, x=-2 is a coordinate of the vertex also, because the line symmetry has vertex.
x= -b/2a
x= -2, b= -4
-2=-(-4)/2a
-2=4/2a
-2=2/a
a=2/(-2)=-1
a= - 1
Answer:
A. As the Study time in increases the Test score increases.
B. Yes, the relation appears linear. The data points lie mostly on a straight and noticeable line.
