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2 years ago

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Mathematics

1 answer:

Zigmanuir [339]2 years ago

3 0

Answer:

m ∠ L = 54°

Step-by-step explanation:

the angles of triangle are 2x, 3x & 5x

the sum of angles are 180°

2x+3x+5x = 180

10x = 180

x = 180/10 = 18°

m ∠ L = 3x° = 3(18)° = 54°

m ∠ L = 54°

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An art museum has a pentagon-shaped room. When drawn to scale on a coordinate grid, the corners of the room are points (18,20):

AURORKA [14]

Answer:

$2\ gal$

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

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step 1

Find the distance AB

we have

$A(18,20),B(4,20)$

substitute in the formula

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step 2

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we have

$B(4,20),C(4,4)$

substitute in the formula

$d=\sqrt{(4-20)^{2}+(4-4)^{2}}$

$d=\sqrt{(-16)^{2}+(0)^{2}}$

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step 3

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we have

$D(16.2),E(22.10)$

substitute in the formula

$d=\sqrt{(10-2)^{2}+(22-16)^{2}}$

$d=\sqrt{(8)^{2}+(6)^{2}}$

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step 4

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we have

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substitute in the formula

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step 5

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$A=(AB+BC+DE+AE)h$

substitute the given values

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Nookie1986 [14]

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Rufina [12.5K]

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