Regular pentagon EFGHI with center K is shown. H
E
F
Select all the transformations that carry pentagon EFGHI onto itself.
a reflection across line EK, a 180° counterclockwise rotation about point K, and a reflection across a vertical line
through point K
a 90° counterclockwise rotation about point E, a reflection across line FG, and a vertical translation
a reflection across line FI, a reflection across line GH, and a 180° clockwise rotation about point K
a reflection across a vertical line through point K, a 180° clockwise rotation about point K, and a reflection across
line EK
a 180° clockwise rotation about point E, a reflection across a vertical line through point E, and a reflection across
a horizontal line through point E

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation:

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