Answer:
The undefined terms which are used to define a ray is:
Point and a line.
Step-by-step explanation:
The undefined terms in coordinate geometry are:
Line, Points and Plane.
since a line do not have any length, Point has a location but no size.
A line has no width and it extends infinitely and is one dimensional.
and a plane extends infinitely in both the dimensions.
<em>Ray:</em>
<em>A ray is part of a line, has one fixed endpoint, and extends infinitely along the line from the endpoint.</em>
Hence, the undefined terms which are used to define a ray is:
Point and a line.
The value of k is -89
Explanation:
The given expression is 
We need to determine the output k, when the input t is -7
<u>Output k:</u>
The value of the output k can be determined by substituting the input
in the expression 
Thus, we have,

Multiplying the terms 10 and -7, we have,

Simplifying, we get,

Thus, the value of k is -89
Answer:
See explanation
Step-by-step explanation:
Consider triangles ACM and BCM. In these triangles,
- given;
- definition of perpendicular lines CM and AB;
- reflexive property.
So,
by ASA postulate (if one side and two angles adjacent to this side of one triangle are congruent to one side and two angles adjacent to this side of another triangle, then two triangles are congruent).
Two-column proof:
Statement Reason
1.
Given
2.
Given
3.
Definition of perpendicular lines CM and AB
4.
Reflexive property
5.
ASA postulate
Answer:
1 + 2sqrt(3)/3
Step-by-step explanation:
tan(30) = sqrt(3)/3
sin(90) = 1
tan(60) = sqrt(3)
cot(60) = 1/sqrt(3) = sqrt(3)/3
sqrt(3)/3 + 1 + sqrt(3)/3
1 + 2sqrt(3)/3