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3 years ago

What angle is supplementary to ABE?

1 answer:

4 0

It depends on the shape.Obtuse if longer than 90 degrees,acute if smaller than 90 degrees ,and right angle if exactly 90 degrees

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The purchase price of a car is $22,500.00 and the 5 year loan has a 10% down payment and an annual interest rate of 6.75%. What

kozerog [31]

Answer:

$398.59

Step-by-step explanation:

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3 years ago

2x+4=16 what is the solution?

Oxana [17]

X=6 because 2*6=12 and 12+4=16

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3 years ago

Read 2 more answers

Diego measured the length of a pen to be 22 cm. The actual length of the pen is 23 cm. Which of the following is closest to the

Law Incorporation [45]

Answer: 4.3%

Step-by-step explanation:

100(23 -23)/23

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3 years ago

What are the possible values of remainder r, when a positive integer 'a' is divided by 3

fredd [130]

Answer:

0, 1, 2

Step-by-step explanation:

Euclid's division Lemma states that for any two positive integers ‘a’ and ‘b’ there exist two unique whole numbers ‘q’ and ‘r’ such that , a = bq + r, where 0≤ r < b.

Here, a= Dividend, b= Divisor, q= quotient and r = Remainder.

According to Euclid's division lemma a 3q+r, where 0≤r≤3 and r is an integer.

Therefore, the values of r can be 0, 1 or 2.

6 0

3 years ago

Arif's backyard is 24 by 37 meters. He wants to put a flower garden in the middle of the backyard, leaving a strip of grass of

Tpy6a [65]

Answer:

Length of the flower garden = 29 meters

Width of the flower garden = 16 meters

Step-by-step explanation:

I have also attached a diagram for your convenience

Now First let us see the data we are given with:

Arif's backyard length = 37 meters

Arif's backyard Width = 24 meters

Area that should be left with grass = 424 m^2

Now lets suppose the width of the stirp of grass be "a"

According the image the area of backyard will be:

Area ABCD = 24 x 37

Area ABCD = 888 m^2

The length LM will be = (37 -2a)

The Width LO will be = (24 -2a)

Area LMNO = (37 -2a) x (24 -2a)

Area LMNO = 888 -74a -48a +4a^2

Area LMNO = 4a^2 -122a + 888

Now in order the to calculate the area of the grass strip we must subtract the area LMNO from the total area ABCD and we already know that the areas the area of grass strip should be 424 m^2

hence, A = Area ABCD - Area LMNO

424 = 888 - (4a^2 -122a + 888)

424 = 888 - 4a^2 +122a - 888

424 = -4a^2 +122a

4a^2 -122a +424=0

(We can solve this quadratic equation by breaking the middle term method)

2(2x-53)(x-4) = 0

2(2x-53) = 0

2x -53 = 0

x = 53/2

x = 26.5 (Not Possible)

x-4 = 0

x = 4

Length of the flower garden = 37 -2(4)

Length of the flower garden = 29 meters

Width of the flower garden = 24 -2(4)

Width of the flower garden = 16 meters

4 0

3 years ago