The top of a picnic table has a width represented by 2x in inches. It has an area represented by the expression 6x2 – 14x in squ
2 answers:
Answer:
So length of top of table is 3x-7 inches.
Step-by-step explanation:
Here we are given that the top of the table has a width that is given by 2x inches.
The area of the top is given by:
Now the top of the table is of the shape of rectangle and area of rectangle is given by:
where l is length of the table and w is width of the table.
Plugging the values of A and w in the formula we have:
Dividing by 2x,
l=3x-7 inches
So length of top of table is 3x-7 inches.
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The statements that would complete the proof where ∠2 ≅ ∠7 by the transitive property are:
∠2 ≅ ∠3
∠3 ≅ ∠7
<h3>What is the Transitive Property?</h3>The transitive property states that if x = y, and y = z, then x = z.
From the image given below, we have:
∠2 ≅ ∠3 because they are vertical angles which must be congruent.
∠3 ≅ ∠7 because corresponding angles are congruent.
Applying the transitive property, we can state that: ∠2 ≅ ∠7.
Therefore, the statements that would complete the proof are:
- ∠2 ≅ ∠3
- ∠3 ≅ ∠7
Learn more about the transitive property on:
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Step-by-step explanation:
Given that,
- Length of the one portion of the board = x feet
- Length of the another portion = (7x – 9) feet
According to the question,
Total length = Sum of the length of the two pieces
Total length = {x + (7x – 9)} feet
Total length = {x + 7x – 9} feet
<u>Total length = (8x – 9) feet</u>
Therefore, the total length of the board as a simplified expression in x is (8x – 9) feet.