Weighted Averages Finding Weighted Averages Find each weighted average. SOLUTION a. The coordinate 2 has a weight of 1, and the coordinate 8 has a weight of 2. Multiply each coordinate by its weight. Divide the sum of the weighted values by
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Presentation Transcript
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Weighted Averages<br>
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Finding Weighted Averages Find each weighted average. SOLUTION a. The coordinate 2 has a weight of 1, and the coordinate 8 has a weight of 2. Multiply each coordinate by its weight.
Divide the sum of the weighted values by the sum of the weights. The weighted average is 6.<br>
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Find each weighted average. The weighted average is 6.<br>
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6. The coordinate 3 has a weight of 2, and the coordinate 9 has a weight of 1. Find the weighted average. 7. The coordinate 2 has a weight of 2, the coordinate 3 has a weight of 2, and the coordinate 10 has a weight of 1. Find the weighted average. 8. Your final grade in a class is based on your score on two tests and the final exam. You scored 86% and 94% on the tests and 92% on the final exam. Find your final grade when the final exam has twice the weight of each test. The weighted average is 5. The weighted average is 4. The final grade is 91%.<br>
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Constructions Topic 1 1. Copying a Segment (congruent segments) 2. Bisecting a Segment 3. Copying an Angle (congruent angles) 4. Bisecting an Angle<br>
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CONSTRUCTION Step 1 SOLUTION Step 2 Step 3 Copying a Segment (constructing congruent segments) https://www.mathopenref.com/constcopysegment.html<br>
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Step 1 SOLUTION Fold the paper
Fold the paper so that B is on top of A. Step 2 Step 3 CONSTRUCTION Bisecting a Segment<br>
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Step 1 Use a compass and straightedge to construct an angle that has the same measure as ∠A. In this construction, the center of an arc is the point where the compass point rests. The radius of an arc is the distance from the center of the arc to a point on the arc drawn by the compass. SOLUTION Draw a segment Draw
an angle such as ∠A,
as shown. Then draw a
segment. Label point D
on the segment. Draw arcs Draw an arc
with center A. Using the
same radius, draw an arc
with center D. Draw an arc Label B, C,
and E. Draw an arc with
radius BC and center E.
Label the intersection F. Step 2 Step 3 Step 4 CONSTRUCTION Copying an Angle (congruent angles) https://www.mathopenref.com/constcopyangle.html<br>
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Step 1 Construct an angle bisector of ∠A with a compass and straightedge. SOLUTION Draw an arc Draw an angle such as ∠A, as shown. Place the compass at A. Draw an arc with center A that intersects both sides of the angle. Label the intersections B and C. Draw arcs Draw an arc with center C. Using the same radius, draw an arc with center B. Step 2 Step 3 CONSTRUCTION Bisecting an Angle (constructing the angle bisector) https://www.mathopenref.com/constbisectangle.html<br>
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Homework:
eBook Assignment:
Weighted Average and Constructions<br>
