Identify the number of vertices, edges, and faces of the polyhedron. Use your results to verify Euler's formula. The figure shows a truncated rectangular pyramid.

V = 8, E = 12, F = 6; 8 − 12 + 6 = 2
V = 6, E = 10, F = 6; 6 − 10 + 6 = 2
V = 8, E = 10, F = 4; 8 − 10 + 4 = 2
V = 6, E = 12, F = 8; 6 − 12 + 8 = 2

what is the original number? you forgot to add it.

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

~

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.