If the length of a rectangular television screen is 40 inches and its height is 30 inches, what is the length of its diagonal, in inches? Pls help me its due in a hour :(

50 inches

Step-by-step explanation:

30²+40² = c² (c²= diagnol)

900+ 1600 = √2500

√2500 = 50

This is also a pythagorean triple (30,40,50).

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

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