Answer:
False
Step-by-step explanation:
You substitute for the second equation.
Then you have to distribute .
Combine like terms.
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.
#SPJ1
Answer:
D 26
Step-by-step explanation:
154+154=308
308-360=52
52 divided by 2
=26
How do you imagine that you will use measurement in your future career?
Answer:
The correct options are;
Answer to A1 is D
Answer to A2 is D
Answer to A3 is D
Answer to A4 is D
Answer to A5 is D
Answer to A6 is D
Answer to A7 is D
Answer to A8 is D
Answer to A9 is D
Answer to B1 is I
Answer to B2 is I
Answer to B3 is I
Answer to B4 is I
Answer to B5 is I
Answer to B6 is I
Step-by-step explanation:
The given function is f(x) = 9·x² + 54·x - 66
The extremum of the function are found as follows;
d(f(x))/dx = 0 = d(9·x² + 54·x - 66)/dx = 18·x + 54
∴ 18·x + 54 = 0 at the maximum or minimum points
x = -54/18 = -3
Given that d²(f(x))/dx² = 18 > 0. x = -3 is a minimum point
Given that the function is a quadratic function, we have;
1) Points to the left of x = -3 are decreasing
2) Points to the right of x = -3 are increasing.