Solve for x round to the nearest tenth of a degree,if necessary.
1 answer:
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Answer:
A) a vertical line does not represent a function.
Step-by-step explanation:
For a relation to be a function for each value of there must be only one value of
. In other words a function is one in which each value in the domain set corresponds to only one value in the range set.
Let us check for this condition in the give choices:
A) a vertical line
A vertical line is given as which meas it is parallel to y-axis and has infinite number of
values for a single
value.
So, its Not a function
B)
For the given equation, on plugging in some value will give a single
value.
So, its a Function
C) a horizontal line
A horizontal line is given as which meas it is parallel to x-axis and has infinite number of
values giving a single
value.
So, its a Function
D) {(1, 7), (3,7), (5, 7), (7,7)}
For the given set for different valuesthere is only one
value.
So, its a Function
Answer:
Given: In triangle ABC and triangle DBE where DE is parallel to AC.
In ΔABC and ΔDBE
[Given]
As we know, a line that cuts across two or more parallel lines. In the given figure, the line AB is a transversal.
Line segment AB is transversal that intersects two parallel lines. [Conclusion from statement 1.]
Corresponding angles theorem: two parallel lines are cut by a transversal, then the corresponding angles are congruent.
then;
and
Reflexive property of equality states that if angles in geometric figures can be congruent to themselves.
by Reflexive property of equality:
By AAA (Angle Angle Angle) similarity postulates states that all three pairs of corresponding angles are the same then, the triangles are similar
therefore, by AAA similarity postulates theorem
Similar triangles are triangles with equal corresponding angles and proportionate side.
then, we have;
[By definition of similar triangles]
therefore, the missing statement and the reasons are
Statement Reason
3. Corresponding angles theorem
and
5. AAA similarity postulates
6. BD over BA Definition of similar triangle
Step-by-step explanation:
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