)A doghouse is to be built in the shape of a right trapezoid, as shown below. What is the area of the doghouse? the top is 7 the
2 answers:
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I think the answer is Y=2x-6
Using a system of equations, it is found that <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
For the system, we consider that:
- x is the number of books on the first shelf.
- y is the number of books on the second shelf.
- z is the number of books on the third shelf.
In total, there are 152 books, hence:
The first shelf has 7 fewer books than the second shelf, hence:
Also, it has 11 more books than the third shelf, hence:
Then:
Then, replacing in the first equation:
The number of books in each shelf has to be countable, that is, cannot be decimal.
- Then, <u>since the solution of the system does not involve decimal numbers</u>, it is possible to arrange the books in this way.
To learn more about system of equations, you can take a look at brainly.com/question/14183076
The value of x is calculated with the help of a similar triangle is 24.
<h3>What is the triangle?</h3>A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In a triangle, if there is a parallel line with any side of the triangle, then the line divides the other sides in the same ratio.
Then we have
x / 12 = 32 / 16
x = 24
Then the value of x is 24.
More about the triangle link is given below.
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