Every interior angle of square is a right angle (90°)
<span>
5x - 10 = 90
5x = 90 + 10
5x = 100
x = 100/5
x = 20</span>
F-^1 (x) =4+3\x that your answer
The solution set of the inequality x ≥ - 4 using set builder notation and interval notation is {x | x ∈ Z, - 4 ≤ x ≤ ∞ } and [ - 4, ∞ ) respectively.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.
A set can be represented by its elements or the properties that each of its members must meet can be described using set-builder notation.
Interval Notation: A set of real numbers known as an interval contains all real numbers that fall inside any two of the set's numbers.
Consider the inequality,
x ≥ - 4
In the number line, the value of x is equal to and greater than - 4 increasing to infinity.
Therefore,
The solution set using the set builder notation is:
{x | x ∈ Z, - 4 ≤ x ≤ ∞ }
The solution set of the inequality using the interval notation is:
[ - 4, ∞ )
Learn more about set builder notation here:
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Answer:

Step-by-step explanation:
<u>Step 1: Determine the area of the square</u>



<u>Step 2: Split the top figure into a square and triangle</u>
Determine the area of the rectangle




Determine the area of the triangle





Since there are two right triangles in the triangle that we have we multiply the area that we got by 2 to get the total area.


<u>Step 3: Determine the total area</u>


Answer: 
Answer:
Length of BH is 2 units.
Step-by-step explanation:
We have, ΔABC with ∠ABC = 90° and an altitude BH.
Also, it is given that the length of sides AH is 4 units and HC is 1 units.
Since, the 'Altitude Rule' states that 'the length of the altitude is the geometric mean of the line segments it bisects'.
So, we get that,

i.e. 
i.e. 
i.e. 
Since, the length of the side cannot be negative.
So, length of BH is 2 units.