Given: Triangle ABC, D belongs to AC, BD=DC, Measure of angle 1 = measure of angle 2, measure of angle BDC = 100 degrees, Find t
2 answers:
Answer:
m of angle A is 60 degrees, m of angle B is 80 degrees, and m of angle C is 40 degrees
Step-by-step explanation:
Given: BD=DC, this means the triangle BDC is isoceles because of the two equal sides.
Using the base angles Thereom we can tell that m of angle C is equal to m of angle 2.
Given that m of angle BDC is 100 degrees, using sum of angles in triangle we develop the equation
m of angle C= 180-100-angle 2
since angle 2 is equal to angle C we see that they are bothe equal to 40 degrees.
Now for B, we can easily tell it is 80 degrees since we found that angle 2 is 40 degrees and angle 1 is equal to angle 2 40+40=80 degrees
Lastly, for A we can tell it is 60 degrees, the reason is we found angle 1 is 40 degrees and we know that BDA=80 using supplemantary angles to BDC.
Develop the equation A=180-(80+40)=60 degrees
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Answer:
1.5
Step-by-step explanation:
The question is incomplete due to the probability distribution table, investigating you can find it so I will attach it.
Having the table, we need to find the mean of the probability distribution, which is defined as the sum of the product of probability and value of random distribution, that is:
M = Sum (xi) * P (xi)
We replace:
M = 0.5 * 0.07 + 1 * 0.2 + 1.5 * 0.46 + 2 * 0.2 + 2.5 * 0.07
M = 1.5
Therefore, the mean of the given table is 1.5
