Answer: Choice B. 54degrees
Step-by-step explanation:
Angles 1 4 5 8 are equal and angles 2 3 6 7 are also equal. These two sets of angles of supplementary(you‘d get 180 by adding them).
so
13x+9=180-(5x+9)
by simplifying the equation youll get
18x+18=180
x=9
so angle 7(and therefore angle 6) equals
5*9+9=54
Answer:

Step-by-step explanation:
In essence, one needs to work their way backwards to solve this problem. Use the information to construct the function.
The function has verticle asymptotes at (x = 4) and (x = 5). This means that the denominator must have (x - 4) and (x - 5) in it. This is because a verticle asymptote indicates that the function cannot have a value at these points, the function jumps at these points. This is because the denominator of a fraction cannot be (0), the values (x - 4) and (x - 5) ensure this. Since if (x) equals (4) or (5) in this situation, the denominator would be (0) because of the zero product property (this states that any number times zero equals zero). So far we have assembled the function as the following:

The function has x-intercepts at (6, 0), and (0, 10). This means that the numerator must equal (0) when (x) is (6) or (10). Using similar logic that was applied to find the denominator, one can conclude that the numerator must be (
). Now one has this much of the function assembled

Finally one has to include the y-intercept of (0, 120). Currently, the y-intercept is (60). This is found by multiplying the constants together. (6 * 10) equals (60). One has to multiply this by (2) to get (120). Therefore, one must multiply the numerator by (2) in order to make the y-intercept (120). Thus the final function is the following:

Answer:
Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.
Step-by-step explanation:
:)
Answer:
Triangles ABC and MNO are similar by SSS
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is proportional
In this problem
If this problem the corresponding sides are
AB and MN
BC and NO
AC and MO
Verify if the corresponding sides are proportional

substitute the given values

----- is true
so
When two triangles have corresponding sides with identical ratios , the triangles are similar by SSS Similarity
therefore
Triangles ABC and MNO are similar by SSS
ANSWER
The relation is not a function.
EXPLANATION
The relation is not a function because we have an x-coordinate mapping on to more than one y-coordinate.
This occurs at x=1.
The ordered pairs (1,1) and (1,3) disqualify the relation from being a function.
Hence the relation is not a function.