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Answer:
3x^4 - 13x^3 - x^2 - 11x + 6.
Step-by-step explanation:
x^2-5x+2 x 3x^2 +2x +3
= x^2(3x^2 +2x +3) - 5x(3x^2 +2x +3) + 2(3x^2 +2x +3)
= 3x^4 + 2x^3 + 3x^2 - 15x^3 - 10x^2 - 15x + 6x^2 + 4x + 6
Adding like terms:
= 3x^4 - 13x^3 - x^2 - 11x + 6.
We know that all three angles in a triangle must add to 180 degrees so we can use this fact to find the measure of the missing angles.
180-57-101= 22 degrees
180-72-72=36 degrees
180-x-20=160-x degrees
The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.