In how many ways can a six-question true-false exam be answered? (Assume that no questions are omitted.)
1 answer:
Answer:
64 ways.
Step-by-step explanation:
We are asked to find the number of ways in which a six-question true-false exam be answered.
For each question there are two possible choices that are either true or false.
We have 2 options for all 6 questions.
Total number of ways:
Therefore, there are 64 ways, in which a six-question true-false exam be answered.
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Answer:
Answer 1; Angles forming a linear sum to 180°
Answer 2; Substitution
Answer 3; Definition of perpendicular lines
Step-by-step explanation:
The two column proof is presented as follows;
Statement Reason
1. ∠SWT ≅ ∠TWU Given
2. m∠SWT + m∠TWU = 180° Angles forming a linear sum to 180°
3. m∠SWT + m∠SWT = 180° Substitution
4. m∠SWT = 90° Algebra
5. ⊥
Definition of perpendicular lines
Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines and
m∠SWT = 90°, therefore, the lines
and
are perpendicular to each other.