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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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A company made a storage container with sheet steel walls. The container was in the shape of a rectangular prism, as shown below
nirvana33 [79]

The missing figure is attached

Answer:

The sheet steel costed $22.41 per square meter

Step-by-step explanation:

<em>To find the cost per square units find the lateral area (they will made the walls only) of the rectangular prism and divide the cost of the steel sheet by it</em>

The formula of the lateral area of the rectangular prism is:

LA = perimeter of base × height

∵ The length of the base is 9 m

∵ The width of the base is 5 m

∵ The height of the prism is 7 m

- Find the perimeter of the base

∵ Perimeter of base = 2(length + width)

- Substitute the values of the length and the width

∴ Perimeter of base = 2(9 + 5) = 28 m

Now use the formula of the lateral area to get it

∵ LA = 28 × 7

∴ LA = 196 m²

Let us find the cost per square meter

∵ The total cost of the sheet steel was $4392

∵ The lateral area of the container is 196 m²

- Divide the cost by the lateral area

∴ The unit cost = 4392 ÷ 196

∴ The unit cost = 22.41 dollars to the nearest cent

The sheet steel costed $22.41 per square meter

4 0
3 years ago
Please answer correctly !!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!
8090 [49]

Answer:

acute = 30,right angle = 90,obtuse = 135,line = 180

7 0
4 years ago
A 29 foot ladder leans against a building so that the angle between the ground and the ladder is 77º. How
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Answer:

5 √ 10 + 2 √ 5 ft high

Step-by-step explanation:Explanation:

Let  h be the height to which latter of length of 20 ft reach then using Sine formula in right triangle with hypotenuse 20 & vertical leg h & opposite acute angle 0 = 72∘ sin θ =h 20 sin 72∘= h 20

h

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7 0
3 years ago
if Pentagon ABCDE is rotated 180 clockwise to 8 pentagon a b c d and e the coordinates for a will be what
11111nata11111 [884]
 <span>Point A with coordinates (x,y) rotated 180 degrees around O gives point A' with coordinates (-x,-y). 
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3 0
4 years ago
Simplify 5(81/3 + 241/3)1/4
madreJ [45]

Answer:

214\frac{2}{3}

Step-by-step explanation:

8\bigg(\frac{81}{3}+\frac{241}{3}\bigg)\frac{1}{4} \\\\= 8\bigg(\frac{81+241}{3}\bigg)\frac{1}{4} \\\\= 8\bigg(\frac{322}{3}\bigg)\frac{1}{4} \\\\= 8\times\frac{322}{3}\times\frac{1}{4} \\\\= 2\times\frac{322}{3}} \\\\= \frac{644}{3}} \\\\= 214\frac{2}{3} \\

5 0
4 years ago
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