There is a 47% decrease in Jane's closet space.
Step-by-step explanation:
Old measurement of closet = 66 square feet
New measurement of closet = 34.98 square feet
Change = New value - Old value
Change = 34.98 - 66 = -31.02 square feet
The negative sign indicates the decrease.
Decrease percent =
There is a 47% decrease in Jane's closet space.
Keywords: decrease, percentage
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The value of x is 81
Step-by-step explanation:
The sum of the interior angles of any quadrilateral is 360°
∵ The figure have 4 sides
∴ The figure is a quadrilateral
∵ The sum of the measures of the interior angles of a
quadrilateral is 360°
- Add the four angles and equate the sum by 360
∴ m∠1 + m∠2 + m∠3 + x = 360
∵ m∠1 = 40% of the sum of the angle measures of the quadrilateral
∴ m∠1 = 40% × 360 = × 360 = 144°
∵ m∠2 = 12.5% of the sum of the angle measures of the quadrilateral
∴ m∠2 = 12.5% × 360 = × 360 = 45°
∵ m∠3 = 25% of the sum of the angle measures of the quadrilateral
∴ m∠3 = 25% × 360 = × 360 = 90°
- Substitute these values in the equation above
∴ 144 + 45 + 90 + x = 360
- Add the like terms in the left hand side
∴ 279 + x = 360
- Subtract 279 from both sides
∴ x = 81°
The value of x is 81
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You can learn more about the polygons in brainly.com/question/6281564
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