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Free_Kalibri [48]

4 years ago

11

HELP. PLEASE

1 answer:

tatuchka [14]4 years ago

8 0

If we calculate the distance between two points, it is equivalent to one side of the rectangle. Using the distance formula:
d = √((x₂ - x₁)² + (y₂-y₁)²)
We compute the distance between the points (-3,2) and (5,4)
d = √((5 + 3)² + (4 - 2)²) = √68
Now, we check the next two points:
d = √((6 - 5)² + (0 - 4)² = √17
Now, we know that the adjacent sides of a rectangle are equal so the perimeter can be calculated using:
P = 2(l₁ + l₂)
P = 2(√68 + √17)
=24.7 units.

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Answer: angle ITU = 145 degrees

===============================================

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Angle STU is the largest angle composed of the smaller angles STI and ITU.

In other words, the two smaller angles add up to the larger one.

(angle STI) + (angle ITU) = angle STU

( 20 ) + ( 12x+1 ) = 13x + 9

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Using this x value, we find that,

angle ITU = 12x+1 = 12(12)+1 = 145 degrees

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As a side note,

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(angle STI) + (angle ITU) = (20) + (145) = 165 = angle STU

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