Answers to topic 4: Parallel and Perpendicular lines on the coordinate plane
1 answer:
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Answer:
Use all the given information:
<em>Price of a slice in $ -</em><em> x</em>
<em>Number of slices- </em><em>3</em>
<em>Total cost of slices-</em><em> 3x</em>
<em />
<em>Price of chopped cheese in $- </em><em> 2+x</em>
<em>Number of chopped cheeses-</em><em> 4</em>
<em>Total cost of chopped cheeses-</em><em> 8+4x</em>
<em />
<em>Total cost- </em><em>7x+8</em>
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Step-by-step explanation:
We are told that the price of a slice is x and that Dashaun bought 3 slices.
So to find the total amount paid for slices, multiply the price by the number of slices:
We are told that the price of chopped cheese is $2 more than a slice. Use y as the cost for chopped cheese:
Dashaun bought 4 chopped cheeses.
To find the total cost of chopped cheeses bought, multiply the cost per cheese by the amount of cheese purchased:
Insert the value of y:
Use the distributive property:
This is the total cost for the chopped cheeses.
To find the total of lunch, add the prices for the slices and cheeses together:
The total cost for lunch is <em>7x+8</em>
:Done
Answer:
B. The two dimensions are the same in the triangles as they were in the rectangle.
Step-by-step explanation:
Given
Initial Shape: Rectangle (Before cut)
Final Shape: Triangles (After cut)
<em>Note that this can be explained properly with the use of attachments</em>
See attachment 1 for Before Cut
Before Cut represent the full rectangle before Jackie cut the piece of paper.
Let H and B represent the height and base of the triangle
Given that the rectangle is cut diagonally, this means that the cutting starts and ends at the opposite edges of the rectangle
See attachment 2 for After Cut
After Cut represent the two triangles after cutting the rectangle
From the attachment, you'll observe that the dimension of the two triangles (Triangle 1 and Triangle 2) are the same as it is with the rectangle;
In other words, the two triangle have their heights as H and their bases as B.
Hence, it can concluded that the two dimensions are the same in the triangles as they were in the rectangle.
