Answer:
A. -68
B. 37
C. -61
D. 171
Step-by-step explanation:
Rule for A, B, D: 2 negatives is the same as addition
(how I did C: add them together then add the negative)
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.
To learn more about the properties of a square visit:
brainly.com/question/20377250.
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For this case, the first thing we must do is define variables:
x = number of quarters
y = number of dimes
We now write the system of equations:
x + y = 28
0.25x + 0.10y = 4.05
Solving the system of equations we have:
x = 8.33
y = 19.66
Rounding:
x = 8
y = 20
Answer:
the college student has:
8 quarters
20 dimes
The three-dimensional figure that will produce a trapezoid if its cross section was cut by a plane that is not parallel to its base is the rectangular pyramid. If a plane was cut parallel to the base of the pyramid, the shape that would be produced would be a rectangle.
