Answer:
i. ΔAXC ~ ΔCXB
ii. ΔBCX Is-congruent-to ΔACX
Step-by-step explanation:
From the given ΔABC, CX is the altitude of ΔABC; and also an angle bisector of <ACB.
So that:
m<AXC = m<BXC (right angle property)
m<ACX = m<BCX (congruent property)
m<ACX + m<AXC + m<CAX = (sum of angles in a triangle)
m<BCX + m<BXC + m<CBX = (sum of angles in a triangle)
Therefore, from the figure it can be deduced that;
i. ΔAXC ~ ΔCXB (Angle-Angle-Side, AAS, property)
ii. ΔBCX Is-congruent-to ΔACX (Angle-Angle-Side, AAS, property)
Answer:
We are given that a Psychologist claims that less than 5.8 percent of the population suffers from professional problem due to extreme shyness.
We are supposed to set up the null and alternative hypotheses.
Since the claim is less than 5.8 percent, therefore, the claim will be mentioned in the alternative hypothesis. Hence the null and alternative hypotheses are given below:
Therefore, the option a. H0: p = 5.8% H1: p < 5.8% is correct