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3 years ago

What is the perimeter of polygon lmnpq?

Mathematics

1 answer:

natita [175]3 years ago

8 0

Answer:

The total distance of the outer sides of a closed figure is known as the perimeter. It is the total length of all sides of a polygon. Perimeter = Sum of all sides.

Formula:

The sum of interior angles of a polygon with “n” sides =180°(n-2) Number of diagonals of a “n-sided” polygon = [n(n-3)]/2. The measure of interior angles of a regular n-sided polygon = [(n-2)180°]/n. The measure of exterior angles of a regular n-sided polygon = 360°/n.

Step-by-step explanation:

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Olivia borrows $50 from her mom to buy some art supplies. Olivia spends $32.15 on art supplies and gives the change back to her

frutty [35]

Mom's view is that she loses 50 dollars, but gains back 17.85 dollars as change from her daughter.

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Mom's point of view: -$50 + $17.85 and Mom's point of view: -$50 + $17.85 are the correct answers, but technically, Olivia still owes her mom 32.15 dollars.

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3 years ago

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Sati [7]

Answer:

10 times.

Step-by-step explanation:

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3 years ago

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77julia77 [94]

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3 years ago

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Oksi-84 [34.3K]

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3 years ago

Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

melamori03 [73]

Answer:

$6+2\sqrt{21}\:\mathrm{cm^2}\approx 15.17\:\mathrm{cm^2}$

Step-by-step explanation:

The quadrilateral ABCD consists of two triangles. By adding the area of the two triangles, we get the area of the entire quadrilateral.

Vertices A, B, and C form a right triangle with legs $AB=3$ , $BC=4$ , and $AC=5$ . The two legs, 3 and 4, represent the triangle's height and base, respectively.

The area of a triangle with base $b$ and height $h$ is given by $A=\frac{1}{2}bh$ . Therefore, the area of this right triangle is:

$A=\frac{1}{2}\cdot 3\cdot 4=\frac{1}{2}\cdot 12=6\:\mathrm{cm^2}$

The other triangle is a bit trickier. Triangle $\triangle ADC$ is an isosceles triangles with sides 5, 5, and 4. To find its area, we can use Heron's Formula, given by: