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Pepsi [2]
1 year ago
12

Figure ABCD is a parallelogram. What is the product of xy?

Mathematics
1 answer:
Andrei [34K]1 year ago
5 0

Answer:

A) 2695.

Step-by-step explanation:

Opposite angels of a parallelogram are equal.

Also (x - y) = 42   (interior alternate angles)

So we have the system of equations:

x + y = 112

x - y = 42       Adding the 2 equations:

2x = 154

x = 77.

Plug x = 77 in the first equation:

77 + y = 112

y = 112 - 77 = 35.

and

xy =  77 * 35 =  2695.

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Solve the inequality <br> 29-2(3-5w) 13
valentinak56 [21]

Answer:

29-2(2w)13

29-2(26w)

29-52w

w=52÷29

7 0
3 years ago
What is a rectangular prism with a surface area of 96 square meters
goldenfox [79]
If you're asking for the measurements, they are...

Length (l) = 4 ft.
Width (w) = 4 ft.
Height (h) = 4 ft.
8 0
3 years ago
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HELP! I'm being timed
Rasek [7]

Answer:

X=37

Step-by-step explanation:

Since they are vertical angles they are both equal to 80. Set the other side equal to 80 and solve for X, and you should end up with 37.

4 0
3 years ago
Read 2 more answers
Please help!
mr Goodwill [35]

Answer:

1. \sqrt{74} ft    2. 50\sqrt{2} yards     3. 5\sqrt{35} units.

Step-by-step explanation:

Pythagorean's Theorem a^2 + b^2 = c^2

A and b are both side lengths, c is the hypotenuse.

7^2 + 5^2 = 74

sqrt(74) is the answer for 1.

30^2 - 5^2 = 875

Simplify the radical. sqrt(875) --> 5sqrt(35). The answer for three.

There's a rule in geometry that says a diagonal of a square is the same length as taking a side length times the square root of two. There's your answer for two.

7 0
2 years ago
Amanda plans to have 20 friends over to Watch NCAA Basketball on Saturday. She plans to serve pizza, wings, soda, and brownies.
poizon [28]
<h2><u>In total, she will need $98.34 to pay all of the foods she plans to serve at the party.</u></h2>

All of the work:

<em>How to solve the amount of pizza she needs:</em>

20 x 3 = 60

60 divided by 10 = 6

<em>How to solve the amount of soda bottled needed:</em>

20 x 16 = 320

320 divided by 64 = 5

<em>How to solve the number of pans she needs:</em>

20(2 x 3) = 40 x 60

40 x 60 divided by 8 x 12 = 5

<h2>THE COST CAN BE FOUND BY MULTIPLYING THE NUMBER OF THE ITEM NEEDED AND THE PRICE FOR EACH OF THE ITEM.</h2>

<em>Number of pizza she needs:6 pizza, costs $77.94</em>

<em>Number of soda bottles she needs:5 bottles, costs $8.45</em>

<em>Number of pans she needs:5 pans, costs $11.95</em>

<em>Add 77.94, 8.45, and 11.95 and get 98.34</em>

7 0
3 years ago
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