Answer:
33
Step-by-step explanation:
44 - 25% off is 33
The first step in solving quadratic equations by finding square roots is; C:square root both sides to isolate x
<h3>How to solve quadratic equations?</h3>
To answer this question, we will take an example of a quadratic equation that we need to find the square root as;
x² = 36
Now, to get the roots which are the values of x, we will first have to take the square root of both sides to Isolate x. Thus;
√x² = √36
x = ±6
Read more about quadratic equations at; brainly.com/question/1214333
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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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The diagonals of a rectangle are equal and bisect each other.
NQ= 2×5 =10
Using Pythagoras theoram,
PQ²+NP²=NQ²
4²+ NP²= 10²
NP²= 100-16
NP²= 84
NP =√84
<h3>
NP=2√21 = 9.2</h3>
