Use the diagram below to answer questions 2-3. what is the value of a
2 answers:
We have been given a diagram and we need to find the value of arc angle a.
According to one of the circle theorems the angle at the centre of a circle is twice the angle at the circumference subtended by the same arc.
Therefore, arc angle a will be twice of the angle at circumference, that is, 34 degrees.
Therefore, value of angle a is:
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a. Slope of WZ = -2.25; Slope of WX = 5
b. WZ = √97; WX = √41
c. WXYZ is not a <em>rectangle, rhombus, nor a square</em>. We can conclude that: <em>D. WXYZ is none of these</em>.
<h3>Slope of a Segment</h3>Slope = change in y/change in x
Given:
W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)
a. Slope of WZ and slope of WX:
Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25
Slope of WX = (7 - 2)/(-1 -(-1)) = 5
b. Use distance formula, , to find WZ and WX:
c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: <em>D. WXYZ is none of these</em>.
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