What is the area of the triangle below?

Step-by-step explanation:

area of shaded triangle=area of triangle below the diagonal-(area of small triangle+area of trapezoid)

=1/2(7*5)-(1/2 *4*1+(1+5)/2*3)

=35/2-(2+9)

=35/2-11

=(35-22)/2

=13/2

=6.5 sq. units

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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