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SpyIntel [72]
3 years ago
6

In quadrilateral ABCD seeing line A.B. is parallel to line cd which iadditional piece of information is needed to determine the

ABDC is a parallelogram

Mathematics
1 answer:
Vlad1618 [11]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

In a parallelogram, if one pair of opposite sides is both parallel and congruent, then the quadrilateral is a parallelogram.

Here you already know that sides AB and CD are parallel.

If sides AB and CD are also congruent, then quadrilateral ABCD is a parallelogram.

Answer: A.

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Muhammad, a shipping and receiving clerk, uses 1 yard, 2 feet, 4 inches of twine to wrap each carton he packs. He has to pack 29
Vsevolod [243]

Answer:

 Twine needed to wrap 29 cartons = 51.55 yards

Explanation:

 1 feet = 0.3333 yard

 1 inch = 0.0277778 yard

Twine needed to wrap one carton = 1 yard, 2 feet, 4 inches

                                                           = 1 + 2 x 0.3333 + 4 x 0.027778

                                                           = 1.777712 yards.

 Twine needed to wrap 29 cartons = 1.777712 x 29 = 51.55 yards.

 Twine needed to wrap 29 cartons = 51.55 yards

4 0
2 years ago
For the given word problem, identify the rate of change. Gasoline at a particular gas station costs $2.78 per gallon. If Cory bu
zhenek [66]

Answer:

Cory bought 6.47 gallons

rate of change is $2.78 per gallon

Step-by-step explanation:

cost of gas per gallon = $2.78

it means that if one buy 1 gallon he will have to pay $2.78 and similary for each increase in 1 gallon of gallon gas he will have to pay $2.78.

Thus, rate of change is cost of gas per gallon as cost to buy gas changes with the change in quantity of gallon.

Let the quantity of gas bought be x gallon.

Total cost for x gallons = cost of gas per gallon*x = 2.78x

Given that total money paid by him is $18

2.78x = 18

x = 18/2.78 = 6.47

Thus, Cory bought 6.47 gallons

rate of change is $2.78 per gallon

4 0
3 years ago
There are 3 blue marbles, 6 red marbles, 2 green marbles and 1 black marble in a bag. Suppose you select one marble at random. F
laila [671]

Answer:

For blue its 3/12 = 1/4 = 25%

For red it's 6/12= 1/2= 50%

For green 2/12= 1/6= 17%

For black 1/12= 8%

Step-by-step explanation:

All you have to do is add up all the marbles 3 + 6 + 2 + 1 = 12 and then you put the number of marbles for each color and divide it by 12 which gives you those percentages. I don't know if you wanted the answers in percentages or fractions so I gave you both . Good luck!!

4 0
3 years ago
24 red marbles is40% of ? Marbles
Anvisha [2.4K]

Answer: The answer is 60

Step-by-step explanation: 40% = .4 because % means hundredths. So 40% = 40/100 = .4

Let x be the total number of marbles.

Then, .4x = 24

 Divide both sides by .4

         x = 60 and 24 is 40% of 60 marbles

5 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D%2B2%281-%5Csqrt%7B27%7D%29%3D2" id="TexFormula1" title="6\sqrt{3}+2(1-\sqrt{27
skelet666 [1.2K]

Answer:

This is true.

Step-by-step explanation:

Step 1: see that √27 is the same as √3*3*3 and thus 3√3

Step 2: remove parenthesis so that 2(1-3√3) becomes 2 - 6√3

Step 3: observe that the equation now becomes 6√3 + 2 - 6√3 = 2

if you simplify any further, you are left with 0=0, which is true.

Comment if there is any step that requires more details...

3 0
3 years ago
Read 2 more answers
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