Answer:B: 36°
Step-by-step explanation:
We know that ∆ABC is isoceles, making (angle)<ABC and <BCA congruent because base angles of isoceles triangles are congruent.
Because we have parallel lines, we can look for alternate interior angle pairs. <BCA is congruent to <DAC because they're alternate interior angles.
If <BCA is x then so is <ABC.
Since triangles add up to 180° we can add all of the angles (3x+x+x) and set it equal to 180.
3x+x+x=180
5x=180
x=36
If we were looking for <BAC we would plug that back in and solve, but we're looking for <BCA which is equal to x, therefore m<BCA=36°
Answer:
angle Y = 90 degrees
Step-by-step explanation:
Since it is stated that angle x forms a straight line with the 50 and 50 degree angles, and that angle x is vertical to angle y, we can do 40+50+y=180 to find angle Y.
Consider that
This means that a sport has a 0.4 chance of being sold out if 2 out of 5 events are sold out.
Rugby 7s has 3 out of 5 events sold out
Juntior athletics has 3 out of 5 events sold out
Volleyball has 2 out of 5 events sold out, so this is the sport you're looking for.
As for the second question, rugby and athletics are both sold out on two events (events 1 and 5). So, again, the chance is of 2 out of 5 events, which leads to a probability of
Answer:
a) Cluster sampling
Step-by-step explanation:
<em>Since here the population is divided into many groups (cluster) and one of these groups is taken as a sample. This type of sampling is called Cluster Sampling.</em>
Further,
In Cluster Sampling the population is distributed into a distinct group called cluster and clusters are chosen as a sample then it is Cluster Sampling.
Multistage Sampling is a complex form of Cluster Sampling. In this sampling population is divided into a different group then one or more groups are randomly selected then again that selected group is divided into a different small group and again one or more these small groups are randomly selected as sample. This process is done many times.
If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.
If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.
B d and f it is getting larger, 3*2 is 6 meaning the scale factor is two, and point o is the vertex i think