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aliya0001 [1]
1 year ago
6

In 3-4 complete sentences, write an explanation of how you can prove that triangles with all pairs of corresponding side lengths

in the same proportion and all pairs of corresponding angles congruent must be similar using rigid transformations and dilations.
Mathematics
1 answer:
GREYUIT [131]1 year ago
3 0
H h h h h. Fed 6 you u. Ii8 Yt
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Farmer Company purchased equipment on January 1, Year 1 for $82,000. The equipment is estimated to have a 5-year life and a salv
aalyn [17]

Answer:

option (a) $6,240

Step-by-step explanation:

Given:

Purchasing cost of the equipment = $82,000

Estimated life = 5 years

Salvage value = $4,000

Revised expected life = 8 years

Now,

Depreciation per year = \frac{\textup{82,000-4,000}}{\textup{5}}

therefore,

The accumulated Depreciation at the beginning of year 4

= Annual depreciation × years passed

= 15,600 × 3

= $46,800

Thus,

The book value at the beginning of year 4

= Purchasing cost - Depreciation

= $82,000 - $46,800

= $35,200

Now,

The remaining life = Revised estimated life - Years passed

= 8 - 3

= 5 years

therefore,

Depreciation expense =\frac{\textup{book value at the beginning of year 4 - salvage value}}{\textup{Revised estimated life}}

= \frac{\textup{35,200  - 4000}}{\textup{5}}

= $6,240

Hence,

The correct answer is option (a) $6,240

7 0
3 years ago
Help please! I need to write 4y =-3x + 12 in standard form, find the y-intercept of the previous equation, as an ordered pair, a
damaskus [11]

Answer:

-3x+4y=12\\y-intercept: (0,3)\\x-intercept: (-4,0)

Step-by-step explanation:

The standard form of a linear equation is ax+by=c, where a , b, and c are constants in the equation.

Based on the equation you have provided, the standard form would be -3x+4y=12, where a=-3, b=4, c=12.

To find the y-intercept, set x=0.

-3(0)+4y=12\\0+4y=12\\4y=12\\y=\frac{12}{4} =3

Therefore, the y-intercept is (0,3).

Do the same thing for the x-intercept, but this time with y=0.

-3x+4(0)=12\\-3x+0=12\\-3x=12\\x=\frac{12}{-3} =-4

Therefore, the x-intercept is (-4,0).

5 0
3 years ago
A credit card company applies a 6% fee on all transactions under $10. You purchased coffee for $4.80. What fee amount will be ap
Romashka [77]

Answer:

$5.08

Step-by-step explanation:

Step one:

given data

We are told that a credit card company applies a 6% fee on all transactions under $10

since the cost of coffee bellow $10 that is $4.80, the 6% fee is applicable

so

=6% of 4.80

=6/100*4.80

=0.06*4.8

=$0.288

Step two:

the total fee will be

=0.288+4.80

= $5.08

7 0
3 years ago
Someone help me, i dont get it.​
soldi70 [24.7K]

Answer:

1. Sides 1 and 2 are congruent so sides 3 are also congruent

2. Since angles D and R are the same and the two sides are the same, the triangles are the same

8 0
3 years ago
Please show working out thanks
IgorLugansk [536]

Answer:

10m x 15m

Step-by-step explanation:

You are given some information.

1. The area of the garden: A₁ = 150m²

2. The area of the path: A₂ = 186m²

3. The width of the path: 3m

If the garden has width w and length l, the area of the garden is:

(1) A₁ = l * w

The area of the path is given by:

(2) A₂ = 3l + 3l + 3w + 3w + 4*3*3 = 6l + 6w + 36

Multiplying (2) with l gives:

(3) A₂l = 6l² + 6lw + 36l

Replacing l*w in (3) with A₁ from (1):

(4) A₂l = 6l² + 6A₁ + 36l

Combining:

(5) 6l² + (36 - A₂)l +6A₁ = 0

Simplifying:

(6) l² - 25l + 150 = 0

This equation can be factored:

(7) (l - 10)*(l - 15) = 0

Solving for l we get 2 solutions:

l₁ = 10, l₂ = 15

Using (1) to find w:

w₁ = 15, w₂ = 10

The two solutions are equivalent. The garden has dimensions 10m and 15m.

3 0
3 years ago
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