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Given:

Given that the measure of arc DF is 162°

We need to determine the measure of ∠E

Measure of ∠E:

The measure of ∠E can be determined using the inscribed angle theorem.

Thus, by inscribed angle theorem, we have;

Substituting , we get;

Dividing, we get;

Thus, the measure of ∠E is 81°

she will travel a distance in the range of 3 - 11 miles

irrational, then, just means all the numbers that aren't rational. every integer is a rational number, since each integer n can be written in the form n/1. however, numbers like 1/2, 45454737/2424242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.

step-by-step explanation: