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Tcecarenko [31]
3 years ago
7

Question 9

Mathematics
1 answer:
True [87]3 years ago
5 0

Answer:

17

Step-by-step explanation:

m<1 = (4x + 2)

m<3 = (5x - 15)

To find the value of x, we need to generate an equation.

<1 and <3 are vertical angles. Vertical angles are congruent. Therefore:

m<1 = m<3

(4x + 2) = (5x - 15)

Use this equation to solve for x

4x + 2 = 5x - 15

Subtract 5x from both sides

4x + 2 - 5x = 5x - 15 - 5x

-x + 2 = -15

Subtract 2 from both sides

-x + 2 - 2 = -15 - 2

-x = -17

Divide both sides by -1

x = 17

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In the 01 July 2016, Samsung Ltd acquired the machine A by $1,502,000. Estimated useful life is 10 years, estimated residual val
Alja [10]

a) Samsung Ltd will record these Journal Entries from July 2016 to June 30, 2021, using the straight-line and revaluation methods of depreciation:

July 1, 2016 Debit Equipment $1,502,000

Credit Cash $1,502,000

  • To record the purchase of the machine A.

June 30, 2017 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

  • To record the depreciation expense for the first year.

June 30, 2018 Debit Depreciation Expense $150,000

Credit Accumulated Depreciation $150,000

  • To record the depreciation expense for the second year.

June 30, 2019 Debit Accumulated Depreciation $300,000

Credit Revaluation Reserve $300,000

  • To close the accumulated depreciation to Revaluation Reserve.

June 30, 2019 Debit Revaluation Reserve $198,000

Credit Revaluation Surplus $198,000

  • To record the Revaluation Surplus.

June 30, 2020 Debit Revaluation Expense $400,000

Credit Revaluation Reserve $400,000

  • To record the revaluation loss.

June 30, 2021 Debit Revaluation Reserve $500,000

Credit Revaluation Surplus $500,000

  • To record the revaluation surplus.

Data and Calculations:

Cost of machine on July 1, 2016 = $1,502,000

Estimated Residual Value = $2,000

Depreciable amount = $1,500,000

Estimated useful life = 10 years

Based on the straight-line method the depreciation expense for each year = $150,000 ($1,500,000/10).

Value of Machine at:

June 30, 2019 - $1,400,000

June 30, 2020 = $1,000,000

June 30, 2021 = $1,500,000

Learn more: brainly.com/question/19908089

6 0
3 years ago
Snappys, Inc. is a company that produces digital cameras. They are planning to release a new line of camera.
Vaselesa [24]

Answer:

1334

Step-by-step explanation:

$250-$100 = $150

$200,000/ $150

1333.333

Round up

1334

5 0
3 years ago
The width of a rectangle is the length minus 2 units. The area of the rectangle is 15 units. What is the width, in units, of the
Novay_Z [31]

Answer:

The answer to your question is width = 3

Step-by-step explanation:

Data

width = w = ?

length = l = ?

Area = 15 units

Process

1.- Write equations to help to solve this problem

   Area of a rectangle = width x length

                                    = w x l                         Equation l

   width = length - 2

         w = l - 2                                                  Equation ll

2.- Substitution

                            A = w x l

                          15 = (l - 2)(l)

3.- Expand

                          15 = l² - 2l

                           l² - 2l - 15 = 0

2.- Solve for l

-Find the prime factors of -15

                          15   3

                            5  5

                             1

     15 = 3 x 5

3.- Factor l² -2l - 15 = 0

                (l - 5)(l + 3) = 0

4.- Find the values of l

                 l₁ - 5 = 0            l₂ + 3 = 0

                 l₁ = 5                 l₂ = -3

The length if the rectangle = 5, it could not be -3, because there are no negative lengths.      

5.- Find w

                   w = l -2

                   w = 5 - 2            

                   w = 3 units

                           

7 0
3 years ago
The radius of a cylindrical gift box is ​(4xplus1​) inches. The height of the gift box is three times the radius. What is the su
denis23 [38]

Answer:

(5x+1)\pi

Step-by-step explanation:

Given:

The radius of a cylindrical gift box = 4x+1

The height of the gift box is three times the radius.

Question asked:

What is the surface area of the​ cylinder ?

Solution:

The height of the gift box is three times the radius means,

height = 3(4x+1)

          = 3\times4x+3\times1\\= 12x+3

Now, surface area of the​ cylinder = 2\pi r(r+h)

                                                        =2\pi[4x+1](4x+1+12x+3)\\=8\pi x+2\pi(16x+4)\\=8\pi x+32\pi x+8\pi\\=40\pi x+8\pi\\=8\pi(5x+1) \ Taking \ common

Therefore, surface area of the​ cylinder is (5x+1)\pi.

8 0
3 years ago
three quarts of latex enamel paint will cover about 270 square feet of wall surface. how many quarts will you need to cover 350
hichkok12 [17]

Answer:

Kitchen - 3.89 quarts or 3 \frac{8}{9} quarts of latex enamel

Bathroom - 1.12 quarts or 1 \frac{1}{9} quarts of latex enamel

Step-by-step explanation:

270 feet² for every 3 quartz.

We need how much ft² 1 quart can cover.

So,

270 ÷ 3 = 90 ft²

Every 1 quart covers about 90 ft² of wall.

For kitchen we need to cover 350 ft².

So,

350 ÷ 90 = 3.89 quarts or 3 \frac{8}{9} quarts of latex enamel

For bathroom we need to cover 100 ft².

So,

100 ÷ 90 = 1.12 quarts or 1 \frac{1}{9} quarts of latex enamel

8 0
4 years ago
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