The angle x has a measure of 110 degrees
<h3>How to determine the value of x?</h3>
From the question, we have the triangle shape that can be used in our computation:
On the triangle, the external angles are
x, 140 and 110
These angles are on the same straight line with their corresponding internal angles
By the angle on a straight line theorem, we have the internal angles to be
180 - x, 180 - 140 and 180 - 110
The sum of these angles is 180
So, we have
180 - x + 180 - 140 + 180 - 110 = 180
Evaluate
x = 110
Hence, the value of x is 110 degrees
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Answer:
see below
Step-by-step explanation:
Thankfully, these inequalities are already simplified, so all we have to do here is graph the inequalities as they are.
To graph y > 2x - 3, first draw the line y = 2x - 3. Make sure to make the line dashed because the sign is ">", which means that the points on the line do not belong to the solution set. Now, we need to figure out which side of the line to shade on. Since the sign is ">", that means that we will shade "above" the line, or on the left side of it. (This is the blue area in the image.)
Repeat a similar process to graph y < x + 1. As usual, first draw the line y = x + 1, and again, make it a dashed line since the sign is "<". And since the sign is "<", that means that we will shade "below" the line, or on the right side of it. (This is the red area in the image.)
The solution set to this system is the area where the two shaded areas overlap, which is the purple area in the image below. Hope this helps!
A. the outlier is 37
B. the mean with the outlier is 20
C. the mean without the outlier is 17.5
Answer:
9
Step-by-step explanation:
9
Answer:
Choice 3
Step-by-step explanation:
The third fraction (third refers to the answer number) is incorrect. As written, the cups won't cancel. The correct way to do this is to invert the fraction.
4 tablespoons
===========
1/4 cup
This is an extremely important procedure to know. Make sure you understand what the basis of it is. Often times in higher physics, you don't have a proper relationships and this method (called dimensional analysis) is the only tool you have to work with.
So each term has at least 1 cancelation that occurs with the prior term. And it is the units that you look to cancel, and that determines which way to put the intermediate steps.
