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.
Answer: z= -1.636
Step-by-step explanation:
When population standard deviation is known, then the test statistic is given by :-
, where = sample mean,
= population mean, n=sample size ,
= standard deviation
As per given,
Hence, the e test statistic to see whether the candy bars are smaller than they are supposed to be : z= -1.636