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Aliun [14]
2 years ago
6

Find the values of X and Y in the parallelogram.

Mathematics
1 answer:
galben [10]2 years ago
6 0

Answer: x=-5, y=20

Step-by-step explanation:

Opposite sides of a parallelogram are congruent, so AB=CD.

x^{2}-15=-2x\\x^{2}+2x-15=0\\(x+5)(x-3)=0\\x=-5, 3

But as distance must be positive, as CD=-2x, x must be negative, so x=-5.

Opposite angles of a parallelogram are congruent, so m\angle D=m\angle B.

4y+26=106\\4y=80\\y=20

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nadezda [96]

Answer:

The answer is B.

Step-by-step explanation:

3< x _<5

3 0
3 years ago
Theo had a balance of -4 in his savings account. After making a deposit , he has $25 in his account . What is the overall change
ozzi
Theos initial balance in his savings account = -$4
Final balance after making a deposit = $25
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6 0
3 years ago
Joe wants to purchase
svp [43]

Answer:

64.23%

Step-by-step explanation:

Percent error

(699-250)/699  x 100 = 64.23

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3 years ago
Read 2 more answers
In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue
ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}

Now let's solve for x:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

8 0
4 years ago
Find the value of x in the triangle shown below 5 3
Alika [10]

Answer: 4

Step-by-step explanation: b =√c² - a ²

=√ 5² - 3 ²

=√16

=4

8 0
3 years ago
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