<h3>
Answer: B) 68</h3>
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Explanation:
Segments DB and DC are the same length. This makes triangle BCD to be isosceles. Recall that the base angles of any isosceles triangle are congruent angles. The base angles are opposite the congruent sides.
So because DB = DC, this makes B = C the congruent base angles in question. Let's say they are x for now.
Also recall that for any triangle, the three angles always add to 180 degrees.
B+C+D = 180
x+x+44 = 180
2x+44 = 180
2x = 180-44
2x = 136
x = 136/2
x = 68
So angles B and C, of triangle BCD, are 68 degrees each.
This leads to angle BCD to be 68 degrees as well.
Now we'll turn to the Tangent-Chord Theorem. This says that the angle made between a chord and a tangent is the same measure as the inscribed angle that is opposite the chord.
In this case,
- AB is the tangent
- DB is the chord we want to focus on
- angle ABD is the angle between the chord and tangent
- angle BCD is the angle opposite the chord
So because angle BCD is 68 degrees, so is angle ABD.
Answer:
9/c
Step-by-step explanation:
Here, we want to write an expression
When we talk about quotient, it simply means that we are dividing one number by the other
With respect to the given arrangement;
9 will be the divided term and c will be the dividing term
So, writing the expression as a quotient, we have ;
9/c
Answer:
210 mm^2
Step-by-step explanation:
Hope this helped
Answer:
For this case we want to test if the average price-to-earnings ratio in the consumer industry is higher than the average price-to-earnings ratio in the banking industry (alternative hypothesis) and the complement would be the null hypothesis:
Null Hypothesis:
Alternative hypothesis:
So the correct option would be:
D. μconsumer > μbanking.
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
For this case we want to test if the average price-to-earnings ratio in the consumer industry is higher than the average price-to-earnings ratio in the banking industry (alternative hypothesis) and the complement would be the null hypothesis:
Null Hypothesis:
Alternative hypothesis:
So the correct option would be:
D. μconsumer > μbanking.