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Pepsi [2]
2 years ago
12

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

Mathematics
1 answer:
Andrei [34K]2 years 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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How can you analyze connections between linear equations and use them to solve problems
Alexeev081 [22]

Answer:

Step-by-step explanation:

One of the more obvious "connections" between linear equations is the presence of the same two variables (e. g., x and y) in these equations.

Assuming that your two equations are distinct (neither is merely a multiple of the other), we can use the "elimination by addition and subtraction" method to eliminate one variable, leaving us with an equation in one variable, solve this 1-variable (e. g., in x) equation, and then use the resulting value in the other equation to find the value of the other variable (e. g., y).  By doing this we find a unique solution (a, b) that satisfies both original equations.  Not only that, but also this solution (a, b) will also satisfy both of the original linear equations.

I urge you to think about what you mean by "analyze connections."  

6 0
3 years ago
Can you help me find the perimeter
stiv31 [10]

Answer:

The formula for the perimeter of a rectangle is P = (2*width) + (2*height)

this is basically saying, since opposite sides are equal in a rectangle,

Perimeter = 5 + 5 + 6 + 6, so P = 22ft

Step-by-step explanation:

6 0
3 years ago
Based on the results shown in the table, how many white marbles would one expect to draw in a total of 50 draws? (hint:set up a
Dovator [93]
The answer to your question is 10
8 0
3 years ago
HELP WILL MARK BRAINIEST!!!
maria [59]

Answer:

23 feet

Step-by-step explanation:

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The absolute value of 23 is twenty-three

23>14

4 0
2 years ago
You are planning a survey of starting salaries for recent computer science majors. In a recent survey by the National Associatio
nydimaria [60]

Answer:

A sample size of 554 is needed.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

Standard deviation is known to be $12,000

This means that \sigma = 12000

What sample size do you need to have a margin of error equal to $1000, with 95% confidence?

This is n for which M = 1000. So

M = z\frac{\sigma}{\sqrt{n}}

1000 = 1.96\frac{12000}{\sqrt{n}}

1000\sqrt{n} = 1.96*12

Dividing both sides by 1000:

\sqrt{n} = 1.96*12

(\sqrt{n})^2 = (1.96*12)^2

n = 553.2

Rounding up:

A sample size of 554 is needed.

5 0
2 years ago
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