Answer: A good way to determine if a line represents a valid function is to use the vertical line test.
To do this, you imagine a vertical (up and down) line moving across your graph from left to right. It should only be touching the line at one point at a time.
If it is touching more than one point on the line at a time, the line is not a valid function.
The first line and its inverse both pass the test.
The second line passes the test, but its inverse does not.
The third line also passes the test, but again, its inverse does not.
The same applies to the fourth line and its inverse.
Step-by-step explanation:
Answer:
Option (4).
Step-by-step explanation:
In the figure attached,
Two right triangles ΔXYZ and ΔTUV have been given,
Given:
1). m∠Y = m∠U = 30°
2). m∠Z = m∠V = 60°
3). m∠X = m∠T = 90°
For congruence of two right triangles, measure of at least one side should be known along with the measure of angles (LA, HA, LL, HL properties of congruence).
Therefore, these triangles may be similar but not congruent.
Option (4) is the correct option.
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:
The ordered pair is not a solution of the equation
Step-by-step explanation:
we know that
If a ordered pair is a solution of a linear equation, then the ordered pair must satisfy the linear equation
we have

Substitute the value of x and the value of y of the given ordered pair in the linear equation and analyze the results
For x=-1, y=15


----> is not true
so
the ordered pair not satisfy the equation
therefore
The ordered pair is not a solution of the equation
Answer:
19.48 m
Step-by-step explanation:
The formula that is used to find arc length is:
arc length = 2πr 
In this question, r = 9m and the angle (θ) = 124°. Substitute the values into the formula.
arc length = 2 × π × 9 ×
= 2 × π × 9 × 0.3444
= 19.48 m