Given: d is the midpoint of ab; e is the midpoint of ac. prove: de ∥ bc complete the missing parts of the paragraph proof. proof: to prove that de and bc are parallel, we need to show that they have the same slope. slope of de = = = slope of bc = therefore, because , de ∥ bc.

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the slopes are equal is right.

Step-by-step explanation:

The 'part b' of this question is incomplete. I got the complete form of 'part b ' from google as below:

(b) Find a 90% confidence interval for the mean increase in production of interferon gamma after drinking tea for one week.

a) The most appropriate method for this analysis is paired data difference in means (option A).

b)  The 90% Confidence interval is 62.3 to 523.7.

Step-by-step explanation:

Given details:

Sample= 5

Mean difference: \bar{X_d}=293

Difference standard deviation: S_d=242

a)  The most appropriate method for this analysis is paired data difference in means.

b) t value at 90%= 2.132

CI = dbar +/- t *(sd/sqrt(n))

= 293 +/- 2.132 *(242/sqrt(5))

= (62.3 ,523.7)

The 90% Confidence interval is 62.3 to 523.7