Find the measures of the angles given

Mathematics

1 answer:

dexar [7]3 years ago

6 0

Answer:

BCD = 60

ABD - 90

Step-by-step explanation:

BCD)

BC and CD are the same length on in the circle, they are the radius. Therefor, all angles will be the same at 60

ABD)

All angles together are 180

You know 2 Angles, A at 30 and D at 60

180 - 30 - 60 = Angle B

90 = Angle B

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Each of the interior angles in a polygon are equal in measure

Bond [772]

Answer:

No, only sometimes.

Step-by-step explanation:

Only a regular polygon has interior angles that are all congruent.

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3 years ago

A vegetable garden and it's around a pasta shaped like a square that together are 12 ft wide. A path is 1 feet wide. If one bag

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The overall width of the path and garden is 12 feet.

The area of the entire garden and path is 12 x 12 = 144 square feet.

The path is 1 foot wide, so the garden would be 12 - 2 = 20 feet wide.

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3 years ago

You're concerned that your neighbor's backyard flagpole may fall over in heavy winds (it looked really wobbly during the last th

Alisiya [41]

Answer:

Yes you can have some peace of mind, because your house is safe. Since, the flagpole is only 14.85 feet, is shorter than the 18 feet of distance from its base to your home.

Step-by-step explanation:

What you need to do is to estimate the height of the pole using its shadow, and the relationship between the height of the fence and it respective shadow:

For a rectangle triangle, the proportion of its shorter sides are constant.

The shadows of the fence and of the pole, both form two rectangle triangle.
The first triangle, the smaller one, has a base of 7 feet (the shadow of the fence), and a height of 4 feet (the corresponding height of the fence)

The second one, a bigger one, has a base of 26 feet (the shadow of the flagpole), and an unknown height (the height of the pole that its worrying you).
Then, as stated, the proportion for both triangles remains constant. So: $\frac{4feet}{7feet}=\frac{x}{26feet}$ , where x is the height of the pole.
x is solved as: $x=\frac{4feet*26feet}{7feet}=14.85feet$ . Meaning that the flagpole has 14.85 feet of height.
Then when the height is compared to the distance from its base to your home, it is found that the pole is shorter then, there is no risk of the pole falling into your house.