Given: AB=CB,
CD = ED
Prove: Line AB is parallel to line DE
(Please explain)

• Draw the two triangles so the two triangles share point C. It should look like a bowtie.

(1) AB is parallel to DE...

Given

(2) Angle A = Angle D If two parallel lines are cut by a transversal, alternate interior angles are equal.

(3) Angle BCA = Angle DCE Vertical angles are equal.

(4) Triangle BAC is similar to Triangle DEC ..

If 3 angles in one triangle are equal to three angles in another triangle, the triangles are similar.

(5) AB/DE = AC/EC

If two triangles are similar, corresponding sides are proportional...

• Hence , We prooved Line AB is parallel to line DE

If you have any more questions, then use Comment section to ask your Query...

you are saying it as if a fact, not a question, but yes, you would be correct? ; )

step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;