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2 years ago

All angles in the diagram are measured to the nearest degree.

Mathematics

1 answer:

DochEvi [55]2 years ago

6 0

Answer:

lower bound is 110.503 and upper bound is 112.500

Step-by-step explanation:

Given 3 angles around a point we are to find the fourth angle.

The three angles are 59. 108 and 81.

They are rounded off to the nearest degrees.

As per this given, fourth angle = 360-(59+108+81) = 112 degrees

Since angles were rounded off, the extreme chances are

58.5, 107.5, and 80.5 rounded off to 59, 108, and 81 from left side.

Right side maximum is 59.499, 108.499, 81.499 (taken upto 3 decimals) rounded to 59, 108, 81

In the first case, fourth angle would be 112.50 and in the second case, the fourth angle would be 110.503 degrees

Thus lower bound is 110.503 and upper bound is 112.500

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Source:
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Triangle ABE is similar to triangle ACD. AED and ABC are straight lines. EB and DC are parallel. AE = 5 cm, BC = 4.5 cm, BE = 4

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Answer:

y = 16x/65

Step-by-step explanation:

Given:

Triangle ABE is similar to triangle ACD. AED and ABC are straight lines

EB and DC are parallel

The area of quadrilateral BCDE = xcm²

The area of triangle ABE = ycm²

Find attached the diagram from the above information.

In similar triangles, the ratio of their corresponding angles are equal.

Also, the ratio of the area of the two triangles = square of ratio of the corresponding sides of the two triangles.

Area ∆ACD/area of ∆ABE = (DC/EB)²

Area ∆ACD/area of ∆ABE = [(area of quadrilateral BCDE +

area of ∆ABE)]/(area of ∆ABE)

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