Answer:
∠A is acute. ∠A is acute.
Step-by-step explanation:
Given that
m∠A is lower than 90°
So, it is an acute angle
And, M∠A=75°
The acute angle is the angle that measures between 0 degrees and 90 degrees on the other case the obtuse angle should be more than 90 degrees till 180 degrees
So as per the law of detachment the first option is correct and the same is to be considered
Answer:
-50+d=2c
2c=d-50
2c/2=d-50/2
c=1/2d-25
Step-by-step explanation:
Answer:
<ACB is supplementary to the < ECD by the definition of supplementary angles. Therefore the first part of your answer is <ACB = <ECD
We know that similar triangles have the same corresponding angle measurements for their angles and therefore one of the triangles is just a scaled up or down version of the original. Triangle EDC is a scaled down version of ABC. Therefore, the corresponding sides of triangle ECD have the same ratio to the corresponding sides of ABC. For example line segment EC and BC are corresponding line segment and lets find the ratio: 14/21 = 2/3
THe ratio of EC to BC is 2/3 and the ratio of CD to AC is also 2/3 (18 / 27=2/3)
Therefore, CE / BC is equal to DC / AC
Your full answer is
<ACB = <ECD, CE / BC = DC / AC
So triangle ABC ~ triangle CDE
Step-by-step explanation:
Answer:
Not binomial: the trials are not independent.
Step-by-step explanation:
Binomial distribution:
In samples with replacement, as the probability has to be the same for each trial, that is, they are independent.
Hypergeometric distribution:
Samples without replacement, as the probabilities depends on the previous outcomes, that is, they are not independent.
In this question:
Marbles are chosen without replacement, which means that for each trial the probabilities of choosing a red marble are different, which means that the trials are not independent. So the answer is:
Not binomial: the trials are not independent.