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miss Akunina [59]
3 years ago
15

Mathematics question please answer fast !!!

Mathematics
1 answer:
lana66690 [7]3 years ago
4 0

<u>Statement</u> <u>Reason</u>

1. altitude AD bisects ∠BAC 1. Given

2. DB is congruent to DC 2. definition of bisect

3. m∠BDA = 90° 3. definition of altitude

4. m∠CDA = 90° 4. definition of altitude

5. m∠BDA = m∠CDA 5. transitive property

6. AD is congruent to AD 6. reflexive property

7. tri BDA is congruent to tri CDA 7. SAS

8. AB is congruent to AC 8. CPCTC

9. tri ABC is isosceles 9. definition of isosceles

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Step-by-step explanation:

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Surface Area of a Rectangular Prism = 2ab + 2bc + 2ac
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In words, the surface area of a rectangular prism is the area of the six rectangles that cover it. But we don't have to figure out all six because we know that the top and bottom are the same, the front and back are the same, and the left and right sides are the same.

The area of the top and bottom (side lengths a and c) = a*c. Since there are two of them, you get 2ac. The front and back have side lengths of b and c. The area of one of them is b*c, and there are two of them, so the surface area of those two is 2bc. The left and right side have side lengths of a and b, so the surface area of one of them is a*b. Again, there are two of them, so their combined surface area is 2ab.


Surface Area of Any Prism

(b is the shape of the ends)

Surface Area = Lateral area + Area of two ends

(Lateral area) = (perimeter of shape b) * L

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(h is the height of the cylinder, r is the radius of the top)

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In words, the easiest way is to think of a can. The surface area is the areas of all the parts needed to cover the can. That's the top, the bottom, and the paper label that wraps around the middle.

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Add those two parts together and you have the formula for the surface area of a cylinder.

Surface Area = 2(pi r 2) + (2 pi r)* h


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Answer:

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