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Cloud [144]
3 years ago
5

Given AE = EC , for what value of x is quadrilateral ABCD a parallelogram?

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

upper and lower results have to be the same

so set them equal

5x = 2x + 1

subtract 2x on each side

3x = 1

devide each side by 3

x = 1/3

You are welcome

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In one month, Mikhail’s Furnishings can make 160 carpets or 160 quilts, while Dominique’s Parlor can make 120 carpets or 200 qui
marysya [2.9K]

Answer:

Step-by-step explanation:

Mikhail’s Furnishings: 160 carpets or 160 quilts

Dominique’s Parlor:  120 carpets or 200 quilts

<u>Current production per month</u>

Mikhail’s: 80 carpets and 80 quilts

Dominique’s: 60 carpets and 100 quilts

<u>Post-trade</u>

Mikhail’s: produces 160 carpets

Dominique’s: produces 200 quilts

They trade 90 quilts for 70 carpets so at the end of trade they will have items as follows

Mikhail’s carpets will reduce from 160-70=90 carpets but have additional 70 quilts

Dominique’s quilts will reduce  from 200-90=110 but have additional  carpets of 70

<u>Gains from trade</u>

Comparing outcome of post-trade with current production

Mikhail’s Furnishings: 90 carpets-80 carpets=10 carpets

                                  90 quilts-80 quilts=10 quilts

Dominique’s Parlor: 70 carpets -60 carpets=10 carpets

                                110  quilts-100 quilts=10 quilts

8 0
3 years ago
Mrs. Claus makes a
Slav-nsk [51]

Answer:

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6 0
3 years ago
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Write the ratios for sin M, cos M, and tan M.
Dominik [7]

Answer:

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Step-by-step explanation:

7 0
2 years ago
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Step-by-step explanation:

Since the raise is going to be a constant amount, a 4% raise, the model will be linear.

Correct me if I am incorrect.

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2 years ago
A cylinder has a surface area of 224 pie square meters and a diameter of 14 meters. Find the height of the cylinder.
inna [77]

Answer: 9 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the formula:

Surface area if a cylinder (S)= 2 π r2 + 2 π r h

Where r is the radius and h is the height

Diameter is equal to 2r , so in our case:

14 =2r

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7 0
4 years ago
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