Find the average of the numbers 9 5/9 , 7 2/9 , 2 7/36 4 3/4.
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The linear inequality that is represented by the graph is; y ≤ One-halfx + 2
<h3>How to Interpret Inequality Graphs?</h3>
The general form of equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the inequality graph attached, we can see that we can calculate the slope from;
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(2 - 0)
m = 1/2
We can also see that the y-intercept which is the point where the line crosses the y-axis is; y = 2.
The line is a solid line and not dotted and the shaded part is beneath the line and as such;
The inequality is; y ≤ One-halfx + 2
Read more about Inequality Graphs at; brainly.com/question/11234618
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We are given that BA is perpendicular to BD, so that must mean that <em>m∠ABD </em>is a right angle, or 90º. This means: (8x - 10) + (4x + 52) = 90º, since both of the angles add up to become a right angle. We have to solve for x in order to find <em>m∠CBD.</em>
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<u>PART 1</u>
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Equation: (8x - 10) + (4x + 52) = 90
Let's add the like values together first.
Let's subtract 42 from both sides of the equation to isolate the variable we are solving for, x. Our goal is to isolate it completely to get a value that is equal to x.
Divide both sides by 12 to get our final answer for x.
<u>PART 2</u>
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Now that we have x, we simply plug it into our equation for <em>m∠CBD. </em>
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Multiply 4 and add 52.