Answer:
m∠1 = 92°
Step-by-step explanation:
∠2 corresponds to the supplement of ∠3 if (and only if) lines a and b are parallel. We find that
m∠2 + m∠3 = 73° +107° = 180°
so, the angles are supplementary and lines a and b are parallel.
Angles 4 and 1 are corresponding angles where the line d crosses the parallel lines a and b, so are congruent.
m∠1 = m∠4 = 92°
B would be the least wise...loans have interest which means that when you get around to paying them back you owe more than you borrowed and you can get yourself into even deeper debt. Hope this helps, and if you are able to do so, please mark Brainliest! Thanks!
Answer:
This is an example of causation because the patient that took the medication recovered quicker than the patient that did not.
Step-by-step explanation:
Correlation is a statistical technique that shows that a relation exists between 2 variables but does not give any explanation about the relationship
Example: Correlation between Air Conditioner sales and sunglasses sold.
As the sales of the air conditioner is increasing so do the sales of sunglasses.
Causation is a statistical technique that shows a relation ship between 2 variable. It emphasizes the fact that any change in the value of one variable will cause a change in the value of another variable.
Answer:
193.54166618
Step-by-step explanation:
Answer:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.
Step-by-step explanation:
In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.
Let u = 1 + sin(x).
This means du/dx = cos(x). This implies dx = du/cos(x).
Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.
∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))
= ∫(u^(-1/2) * du). Integrating:
(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.
Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:
∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!
