Answer:
Similarly: you start with an endpoint on both lines to start construction.
Difference: bisector you open the compass to more than half but with congruent you open the compass to the whole length
Step-by-step explanation:
Segment bisector
1. Open a Compass so it's width is more than half the length of the given segment
2. Without changing its width use the compass to draw an arc above and below the given line segment from one of the segment endpoints
3. Again without changing its width use the compass to draw another pair of arcs from the other and points. One arc will be above the segment while the second arc will be below
4. Draw the point of intersection between the pair of arcs below the line segment in between the pair of arcs below the line segment
5. Use a straight edge to connect the intersection points between each pair of arcs
congruent segment
1. Open the compass to it width that matches the given line segment
2. Using a straight edge draw a line that is longer than the given segment was one end point
3. Without changing the width of the compass use the compass to draw an arc on the Ray from its end point
Answer:
The probability of no correct answers is 0.125 = 12.5%.
Step-by-step explanation:
For each question, there are only two possible outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent of any other question, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.
![C_{n,x} = \frac{n!}{x!(n-x)!}](https://tex.z-dn.net/?f=C_%7Bn%2Cx%7D%20%3D%20%5Cfrac%7Bn%21%7D%7Bx%21%28n-x%29%21%7D)
And p is the probability of X happening.
3 trials, each with probability of success (correct) given by p=0.50.
This means that ![n = 3, p = 0.5](https://tex.z-dn.net/?f=n%20%3D%203%2C%20p%20%3D%200.5)
The probability of no correct answers is
This is P(X = 0).
![P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20C_%7Bn%2Cx%7D.p%5E%7Bx%7D.%281-p%29%5E%7Bn-x%7D)
![P(X = 0) = C_{3,0}.(0.5)^{0}.(0.5)^{3} = 0.125](https://tex.z-dn.net/?f=P%28X%20%3D%200%29%20%3D%20C_%7B3%2C0%7D.%280.5%29%5E%7B0%7D.%280.5%29%5E%7B3%7D%20%3D%200.125)
The probability of no correct answers is 0.125 = 12.5%.
Is this vocabulary? If so, I'll try to answer. The product is always greater than the factors.
1) You have vertical angles here. This means the big and small triangles are similar, meaning the ratio of corresponding sides of the two triangles are equal.
In this case, 32cm corresponds to 4cm and 40cm corresponds to x. To find x, set up the ratio as follows: 4/32 = x/40.
4/32 can be reduce to 1/8. Multiply each side by 40 to isolate x. you get 1/8 * 40
This yields x = 5 cm
2) set up a proportion, similar to the first question.
(x + 4)/8 = (2x + 1)/12
12(x + 4) = 8(2x + 1)
12x + 48 = 16x + 8
40 = 4x
x = 10
the length of BC is (x + 4) + (2x + 1) = 3x + 5
this means BC = 35