The given conclusion that ABCD is a square is not valid.
Given that, AC⊥BD and AC≅BD.
We need to determine if the given conclusion is valid.
<h3>What are the properties of squares?</h3>
A square is a closed figure with four equal sides and the interior angles of a square are equal to 90°. A square can have a wide range of properties. Some of the important properties of a square are given below.
- A square is a quadrilateral with 4 sides and 4 vertices.
- All four sides of the square are equal to each other.
- The opposite sides of a square are parallel to each other.
- The interior angle of a square at each vertex is 90°.
- The diagonals of a square bisect each other at 90°.
- The length of the diagonals is equal.
Given that, the diagonals of a quadrilateral are perpendicular to each other and the diagonals of a quadrilateral are equal.
Now, from the properties of a square, we understood that the diagonals of a square are perpendicular to each other and the diagonals of a square are equal.
So, the given quadrilateral can be a square. But only with these two properties can not conclude the quadrilateral is a square.
Therefore, the given conclusion that ABCD is a square is not valid.
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Answer:
80 hours for 2 workers to build 8 cars
Step-by-step explanation:
2 cars / 8w *5 hr = 2 cars / 40 hrs 1 car takes 20 hrs
8 cars * 20 hours = 160 hours required
two workers split this time 160/2 = 80 hours
Answer:
a)
Step-by-step explanation:
We are given with the expression <span> B = 703 * w / h^2. To isolate w in the function, we multiply the whole equation by h^2. This results to B h^2 = 703 w. Next, we divide the equation by 703 to isolate w. The final expression of w becomes w = B h^2 / 703 </span>