What information is missing but is needed to solve this problem?
1 answer:
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Two triangle are congruent when the shape and size of both the triangle are same.
The given information is the SAS case. Thus the option B is the correct option.
<h3>What is triangle congruence theorem?</h3>Two triangle are congruent when the shape and size of both the triangle are same.
Triangle congruence theorem are-
- Angle-Side-Angle theorem (AAS)- This theorem states that two triangle is congruent when two angle and one side of the triangle are respectively equal to the two angles and same side of the other triangle.
- Side-Side-Side theorem (SSS)- When the three sides of the one triangle is equal to the three sides of the other triangle respectively, then the triangle are congruent.
- Side-Angle-Side theorem (SAS)- Two sides and the included angle of are equal to the two sides and one angle of other triangle respectively.
Given information-
The distance of the Evelyn from the airplane is 200 meters.
The initial angle at takeoff of the plane is 12 degrees.
Evelyn is approximately 104 meters from the plane.
The angle of elevation of the plane is 12°.
The triangle made for this situation is attached below.
As in the shown triangle below this question. The distance of Evelyn from the initial takeoff of the plane is shown.
This distance is equal to the base of the triangle. Therefore we get the one side of the tingle.
Now the plane is flied 100 meters, which gives the value of another side of the triangle as shown in the image below attached.
Angle of elevation of the plane is 12 degrees, which gives the one angle of the triangle.
Thus we have one side equal to the 100 meters, one angle equal to the 12 degrees and another side with equal to the 200 meters.
Thus it is the case of side angle side.
Hence, the given information is the SAS case. Thus the option B is the correct option.
Learn more about the triangle congruence theorem here;
Answer:
z=13.36 (Statistic)
The p value is a very low value and using any significance level for example always
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness is significant higher than the proportion of female with red/green color blindness .
Step-by-step explanation:
1) Data given and notation
represent the number of men with red/green color blindness
represent the number of women with red/green color blindness
sample of male selected
sample of demale selected
represent the proportion of men with red/green color blindness
represent the proportion of women with red/green color blindness
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
2) Concepts and formulas to use
We need to conduct a hypothesis in order to check if the proportion for men with red/green color blindness is a higher than the rate for women , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
3) Calculate the statistic
Replacing in formula (1) the values obtained we got this:
4) Statistical decision
For this case we don't have a significance level provided , but we can calculate the p value for this test.
Since is a one side test the p value would be:
So the p value is a very low value and using any significance level for example always
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of men with red/green color blindness is significant higher than the proportion of female with red/green color blindness .