Explanation:
For a theorem that says "if A then B", the converse is "if B then A."
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The hing.e theorem has numerous parts to the hypothesis. Its converse retains many of those conditions, swapping only the relation between the included angle and the third side.
<u>theorem</u>: if two sides of one triangle are congruent to two sides of another, then the longest third side will be opposite the largest included angle.
<u>converse</u>: if two sides of one triangle are congruent to two sides of another, then the largest included angle will be opposite the longest third side.
Instead of relating the third side to the angle measure, the converse relates the angle measure to the third side.
Answer:

Step-by-step explanation:
Given
per person
Required
Represent as an equation
For 1 person, the admission fee is 2
For p people, the admission fee will be 2p.
Hence:

Answer:
Step-by-step explanation:
The triangles are all similar, so corresponding sides are proportional.
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<h3>x</h3>
long side/short side = x/6 = 12/x
x² = 72 . . . . . . . multiply by 6x
x = 6√2 . . . . . . take the square root
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<h3>y</h3>
hypotenuse/long side = y/12 = (12+6)/y
y² = 216 . . . . . multiply by 12y
y = 6√6 . . . . . take the square root
The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
<h3>What is the area of the rectangular table?</h3>
Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.
To find the area of the rectangular table, we know that Area, A = LW where
Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .
So,
let
- length of the rectangular table = L = x/2 and
- width of rectangular = W = 3x
So, the area of the rectangular table A = LW
= x/2 × 3x
= 3x²/2
So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2
Learn more about area of rectangular table here:
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Step-by-step explanation:
all I see is a piece of paper