<h3>
Answer: x = 44</h3>
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Work Shown:
The three interior angles of any triangle always add to 180
82+54+x = 180
136+x = 180
x = 180-136
x = 44
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Extra info:
If you need the value of y, then,
x+y = 180
y = 180-x
y = 180-44
y = 136
Or you could use the remote interior angle theorem to find y
y = 82+54
y = 136
The value of z is equal to y since these two angles are vertical angles.
Answers:
- B) (2,6)
- A) (4,2)
- B) (6,4)
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Explanations:
- For this problem, the x and y coordinates must add to 8. In choice A, we have x+y = 2+4 = 6, which doesn't work. But choice B does work since x+y = 2+6 = 8. Therefore, the point (2,6) is located on the line x+y = 8. The equation x+y = 8 is equivalent to y = -x+8.
- The x coordinate must be equal to 4. The y coordinate can be anything you want. The point (4,2) is on this line, while (2,4) is not. Another point on this line is (4,1). The line is completely vertical.
- If we plugged the x & y coordinates of choice A into the equation, we get 6 = 4-2 which then becomes 6 = 2 and that's a false statement. That rules out choice A. If we try choice B, then we get 4 = 6-2 which becomes 4 = 4. We get a true statement so choice B is the answer.
Answer:
Her weight is increase by 18 lbs over past five years and the slope is 3.6 lbs per year.
Step-by-step explanation:
Given information: Estelle weight is
At age 16 = 110 lbs
At age 21 = 128 ibs
Increase in her weight over the past 5 years is the difference of weight at age 21 and at age 16.
Increase in her weight over the past 5 years = 128 - 110 = 18
Her weight is increase by 18 lbs over past five years.
Let x=age and y=weight, then the weight function passes through the points (16,110) and (21,128).
If a line passes through two points 
and 
, then the slope of the line is
Using the above formula we get
Therefore the slope is 3.6 lbs per year.
Answer:
the answer for this is option C 4x/x+5
The sample space for a particular event or number of events is simply anything that illustrates all possible outcomes of those events.
Tables can be used to display the sample space when you have two events happening, in this case, two spinners giving a number.
So, looking at the first white box (top-left corner), the number 1 that is written above it represents getting a number 1 on the spinner numbered 1 to 6 and the number of 1 written to the left of the white box represents getting a number 1 on the spinner numbered 1 to 3.
In the box, you would put 2 plus the extra points since you add the numbers on both spinners, and then add extra points because you got a double.
The numbers in each box, going along the rows (starting from top-left) are:
2 plus extra points;
3;
4;
5;
6;
7;
3;
4 plus extra points;
5;
6;
7;
8;
4;
5;
6 plus extra points;
7;
8;
9.
Notice, all possibilities of what the each of the spinners could land on and in what order are given, this is a sample space.
