Mathematics, 15.12.2020 01:40 basketball6076
A student wants to find point C on the directed line segment from A to B on a number line such that the segment is partitioned in a ratio of 3:4. Point A is at –6 and point B is at 2. The student’s work is shown.
C = (three-fourths) (2 minus (negative 6)) + (negative 6)
C = (three-fourths) (8) minus 6
C = 6 minus 6
C = 0
Analyze the student’s work. Is the answer correct? Explain.
No, the student should have added 3 + 4 to get the total number of sections, and used the fraction Three-sevenths instead of Three-fourths.
No, the student should have subtracted 2 from –6 to find the distance.
No, the student should have added 2 at the end to add to the starting point.
Yes, the student’s answer is correct
Answers: 1
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What is the next step in the given proof? choose the most logical approach. a. statement: m 1 + m 2 + 2(m 3) = 180° reason: angle addition b. statement: m 1 + m 3 = m 2 + m 3 reason: transitive property of equality c. statement: m 1 = m 2 reason: subtraction property of equality d. statement: m 1 + m 2 = m 2 + m 3 reason: substitution property of equality e. statement: 2(m 1) = m 2 + m 3 reason: substitution property of equality
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