Step-by-step explanation:
Given : m∥n , ∠1= 50° , ∠2= 48° , and line s bisects ∠ABC
To prove = ∠3= 49°
Solution:
In figure, m∥n cut by traversal t.
So, ∠DEF = ∠ABC(alternative exterior angles)
∠1 + ∠2 = ∠4 + ∠5
∠ABC = ∠1 + ∠2 = 50° + 48° = 98°
Also given that s bisect angles ∠ABC.
∠4 = ∠5
∠ABC = ∠4 + ∠5 = 98°
∠4 + ∠4 = 98°
2∠4 = 98°
∠4 = 49°
∠4= ∠3 = 49° (vertically opposite angles)
∠3 = 49° ,hence proved
Answer:
is equidistant from 
and 
.
Step-by-step explanation:
Given that the point which is on the perpendicular bisector of the line segment having endpoints at and .
The given situation can be represented as the diagram as attached in the answer area.
Referring to the 
:
(As it is the perpendicular bisector)
(As it is the perpendicular bisector)
Also, the side 
is the common side.
Therefore by 
congruence, 
As per the properties of congruent triangles:
Side 
= Side 
and are nothing but the distance of the point from the end points and which are proved to be equal to each other.
Therefore, we can conclude that:
is equidistant from and .
If B lies along the positive x-axis, then the coordinate of B is (12, 0). Since the right angle is at B and BC is 5, it means that C is 5 units above B.
Therefore, the coordinate of C is (12, 5)
Answer:
A) Sample statistic
Step-by-step explanation:
A sample statistic is a number computed from values that belongs to a sample, to represent a whole population.
In this case the sample is the home owners in West Virginia that respond this poll in 1971, and the population is U.S.
