An exterior angle is an angle supplementary to one of the interior angles.
In other words, an exterior angle is the angle between one of the sides, and the extension of an adjacent side.
In the given diagram, the angle D is measured from one of the sides, but not to the extension of an adjacent side.
Therefore angle D is not an exterior angle.
Answer:
x = 4
Step-by-step explanation:
Since the triangles are similar, you know that the sides are equally proportional to all the other ones.
What I do is set up two fractions:
= 
Make sure that the bigger sides are on the same side of the fraction as each other!
Now, you solve for x.
2(x + 2) = 3x
2x + 4 = 3x
-x + 4 = 0
x = 4
I hope this helps!
The answer would be m = -1/7 or -0.143
Since we are given the value of b (-3) and a coordinate (7, -4), All you have to do is plug the x-coordinate into x and the y-coordinate into y; simplifying the equation to (-4 = m*7-3). Using simple algebra, find m by adding 3 to -4. Finally, divide that by 7 to get your final answer, (-1/7).
Answer:
Step-by-step explanation:
I made a table with a pretend number of years of teaching by picking a somewhat random number to start
"Clark has less seniority than Cornwall but more than Prendergast:" I picked 3 for Clark 4 for Cornwall, and 2 for Prendergast, to start.
"Prendergast has more than Brown but less than Alexander:" I see I'm running out of easy numbers here. "Prendergast has more than Brown" means give Brown 1 year but this new teacher, Alexander needs a number between Clark and Prendergast. To make room, I increased Clark and Cornwall by 1 and finished the remainder in the "Final Years" column:
<u>Teacher </u> <u>Years</u> <u> Final Years</u>
Clark 3 4
Cornwall 4 5
Prendergast 2
Brown 1
Alexander 3
The highest seniority teacher, Cornwall, is smart and refuses the job. That leaves Clark, at number 2 seniority, to become the new supervisor.
First you have to find a common denominator which would be 24.
5/6 = 20/24
7/8 = 21/24
5/8 = 15/24
So your final answer would be 7 over 8.
