Answer:
x = 7
Step-by-step explanation:
Given
4x - 2(x - 2) = - 4 + 5x - 13 ← distribute left side and simplify
4x - 2x + 4 = 5x - 17
2x + 4 = 5x - 17 ( subtract 5x from both sides )
- 3x + 4 = - 17 ( subtract 4 from both sides )
- 3x = - 21 ( divide both sides by - 3 )
x = 7
Answer:
4.11% probability that he has lung disease given that he does not smoke
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Does not smoke
Event B: Lung disease
Lung Disease/Nonsmoker 0.03
This means that 
Lung Disease/Nonsmoker 0.03
No Lung Disease/Nonsmoker 0.7
This means that 
What is the probability of the following event: He has lung disease given that he does not smoke?

4.11% probability that he has lung disease given that he does not smoke
Step-by-step explanation:
We have been given that AE=BE and
.
We can see that angle CEA is vertical angle of angle DEB, therefore,
as vertical angles are congruent.
We can see in triangles CEA and DEF that two angles and included sides are congruent.


or
Therefore,
by ASA postulate.
Since corresponding parts of congruent triangles are congruent, therefore CE must be congruent to DE.
Answer:
I think this is the correct solution