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Phoenix [80]
2 years ago
15

Using The diagram, name two pairs of adjacent angles and two pairs of vertical angles.​

Mathematics
1 answer:
Crank2 years ago
3 0

Answer:

1. adjacent: ∠ACB and ∠BCD.

vertical: ∠ACB and ∠ECD

Step-by-step explanation:

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Pls help with all 4 questions, and show a step by step explanation (show how you set up the problems)
Ainat [17]
<h2>Answer:</h2>

<u>Question 10:</u>

21.75 ÷ 30 = 0.725

Move the decimal backwards 2 times

72.5

<em>Answer: </em>72.5%

<u>Question 11:</u>

Sales: $768

Commission Rate: 4%

Commission: $30.72

768 x 4 = 3,072

3,072 ÷ 100 = 30.72

<em>Answer:</em> $30.72

<u>Question 12:</u>

Selling Price: $39.98

Tax Rate: 4.5%

Sales Tax: $1.80

39.98 x 4.5 = 179.91

179.91 ÷ 100 = 1.7991

Then you round to the thousandths.

1.799

1.8

<em>Answer:</em> $1.80

<u>Question 13:</u>

20% x 141 = 28.2

141 + 28.2 = 169.2

<em>Answer:</em> $28.20 gratuity is added to the bill.

8 0
2 years ago
Miss Wilton is planning a rectangular flower box for her front window she wants the flower box to hold exactly 16 cubic feet of
Sav [38]

Answer:

Three rectangular boxes having bases 4 cubic feet, 3 cubic feet and 2 cubic feet respectively will be required to hold 16 cubic feet of soil.

The dimensions of the three rectangular boxes will be 4 \times 1 \times 2, 3 \times 1 \times 2, and 2 \times 1 \times 1.

Step-by-step explanation:

The total soil to be held is 16 cubic feet.

The volume of a rectangular box is given by the product, lbh, where l is the length, b is the base and h is the height.

16 cubic feet of volume can be divided into two different volumes having values 8 cubic feet, 6 cubic feet and 2 cubic feet, to get two set of dimensions having different bases.

To get the first value of volume, 8 cubic feet, the length, base and height can be 1 foot, 4 feet and 2 feet respectively.

To get the second value of volume, 6 cubic feet, the length, base and height can be 1 foot, 3 feet and 2 feet respectively.

To get the other value of volume, 2 cubic feet, the length, base and height can be 1 foot, 2 feet and 1 foot respectively.

Since, all the three boxes have to be rectangular in shape, the base has to be more than the other two dimensions to get the required volumes as explained above.

If the number of rectangular boxes are increased, the dimensions would not be whole numbers as per the requirement.

The above mentioned can be shown in calculations as given below.

Volume of the first rectangular box

= lbh

= 1 \times 4 \times 2

= 8

Thus, the volume of the first rectangular box is 8 cubic feet.

Volume of the second rectangular box

= lbh

= 1 \times 3 \times 2

= 6

Thus, the volume of the second rectangular box is 6 cubic feet.

Volume of the other rectangular box

= lbh

= 1 \times 2 \times 1

= 2

Thus, the volume of the third rectangular box is 2 cubic feet.

Total volume of both boxes

= 8 + 6 + 2

= 16 cubic feet

7 0
3 years ago
Work out the volume of a cuboid <br> 10cm by 3cm by 2cm?
Firlakuza [10]
10 x 3 x 2 = the volume
10 x 3 = 30
30 x 2 = 60 cm^3
it is cm^3 because all of the numbers you have are in cm
8 0
3 years ago
How to solve Increase $24 by a half of $36
seraphim [82]
36 divided by 2 = 18 and 18 + 24 = 42
6 0
3 years ago
19 x 9 short division
Colt1911 [192]

Answer:

170

Step-by-step explanation:

your welcome np 8 hope you appreciate it

3 0
2 years ago
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