In the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
<h3>What is the triangle?</h3>
The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
In the first diagram:
The sum of the 5k + 20 and 7k + 40 is 180
5k + 20 + 7k + 40 = 180
12k + 60 = 180
12k = 180 -60
12k = 120
k = 10
In the second diagram:
The sum of the two interior angles is equal to the exterior angle.
40 + 12k + 10 = 8k + 80
4k = 30
k = 30/4 = 15/2
Thus, in the first diagram the value of k is 10 and in the second diagram the value of k is 15/2.
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Answer:
A. Valid
Step-by-step explanation:
The P-value is the probability of getting this result or sample statistic if the null hypothesis is true. That is why a low P-value (smaller than the significance level) is considered evidence to reject the null hypothesis, because the result has little probability of being due to chance.
The statement that the P-value is "the probability of getting results as extreme as or more extreme than the ones in this study if the drug is actually not effective" is valid, as the null hypothesis states generally the opposite of the objective of the study (demonstrate that the drug is effective), and the very low value of the P-value is indicative that this result, if the drug was not effective, has a very low probability.
Answer:
The answer to your question is:
Step-by-step explanation:
Factorize 
Factorize 
Simplify 
Answer:
b = 12 ft
Step-by-step explanation:
Given Data:
Height = h = 5 ft
Area = A = 60 
To Find Out:
base = b =?
Formula:
A= b×h
b = A÷h
Solution:
b = A÷h
b = 60÷5
b = 12 ft
Hey! The drink was $1.15 because $10 minus the cost of the lunch ($7.75), tax (0.47), and what was given back in change (0.63) leaves you with $1.15
