Answer:
Step-by-step explanation:
ab=ab (common)
angle d = angle c (isosceles prperty)
angle a = angle a (common)
there for the triangle is congruent so sides are congruent by CPCT
Answer:
(1, -4)
Step-by-step explanation:
Hope this helps!
Answer:
9.5
Step-by-step explanation:
There is no changeover in the first throw. The probability of each changeover is 1/2 and it doesnt depend on the other changeovers. The only thing that modifies each experiment is the result of the previous flip, but regardless of weather it was tails or heads, the probability will always be 1/2.
Since the coin is flipped 20 times and the first time there is no changeover, there are a total of 19 experiments. All of them independent and with probability 1/2. Therefore, the total amount of changeovers for 20 flips is a random variable with distribution Binomial B(19,0.5), the expected value of a Binomial B(n,p) is n*p. In this case, the expected value of changeovers for n=20 is 19*0.5 = 9.5.
It is best to draw the situation given above to understand the problem better. You will see that there are two right triangles that can be made. One would have the angle 67 degrees and the other with angle 35 degrees. We calculation as follows:
From the triangles, we can set up two equations with two unknowns:
tan 67 = h/x
tan 35 = h/(20+x)
h = 19.93 ft
Answer:
x is 56°
y is 13°
Step-by-step explanation:
Well we can find the missing angle of the triangle that doesn't contain x° or y° which is 180-92-15=73°
The angle opposite the 92° angle is 180-92=88.
Using this information, we can find x°:
180-36-88=x°
x°=56°
Now using x and 73° we found earlier, we can find y.
180-73-56=The missing angle in the triangle that has y°
The missing angle in the triangle that has y°=51°
Now we can find y:
180-116-51=13
