1. Joy wants to find the distance, AB, across a creek. She starts at point B and walks along the edge of the river 105 ft and marks point C. Then she walks 85 ft further and marks point D. She turns 90° and walks until her final location and marks point E. Point E, point A, and point C are co-linear.

The answer to your question is below

Step-by-step explanation:

a) Yes, Joy can conclude that ΔABC is similar to ΔEDC because

∠ACB ≅ ∠ECD    they are vertical angles and,

∠ABC ≅ ∠EDC    they are right angles

We conclude that ΔABC is similar to ΔEDC  because of the AA postulate.

b)      

Solve for AB

        AB = (BC)(DE) / (CD)

Substitution

        AB = 105 (90) / 85

Simplification

        AB = 105(1.06)

Result

        AB = 111.2 ft

no idea

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;