Answer:
40 units
Step-by-step explanation:
For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;
m<BOJ = 90 degrees
m<BOJ = 4x - 6
Equating both to get x;
4x - 6 = 90
4x = 90+6
4x = 96
x = 96/4
x = 24
Since all the sides are equal, hence BO = JO = 2x-8
JO = 2x - 8
Substitute x = 24 into JO
JO = 2(24) - 8
JO = 48 - 8
JO = 40
Hence the measure of JO is 40 units
Answer:
of fabric.
Step-by-step explanation:
-The amount of fabric needed is equivalent to the area of the two gardens.
-We calculate the combined areas as:

Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.
Answer:

Step-by-step explanation:
The rectangle has been split into two right triangles. The hypotenuse of the triangle (the diagonal) is 18. The angle in the triangle is 30. All right triangles have unique relationships between their sides depending on the angles. This triangle must be a 30 - 60 - 90 triangle and its sides will be a scaled version of
.
The side 2 correspond to the hypotenuse of length 18. 2*9 = 18 and so the scale factor is 9. To find the remaining sides, multiply each side length by 9 from
.
It becomes
. So the rectangle is 9 by
.
The perimeter of the rectangle is 
As it is proved that the equation has no solution, Derick is correct
Step-by-step explanation:
Given

We have to solve the equation in order to check if Derick was solved the equation correctly or not.
So,
Applying distributive property first

As the variable is already cancelled in the equation there is no unique solution.
In order for an equation to have infinite solutions the constant on both sides of equation should be same which is not the case in the given equation
So,
As it is proved that the equation has no solution, Derick is correct
Keywords: Linear equations, variables
Learn more about linear equations at:
#LearnwithBrainly
Answer:
Nominal
Step-by-step explanation:
Data can be divided into 2 types:
- Qualitative Data
- Quantitative Data
Qualitative data represent some attribute or characteristic and cannot be measured or calculated. This type of data uses Nominal or Ordinal level of measurement.
Quantitative data is the data which can be measure or calculated. This type of data is expressed in Ratio or Interval scale.
Different genres of music represent an attribute, hence the data is Qualitative. Qualitative data which can put into some order is at Ordinal scale of measurement, while if the data simply represent the name or attributes it would be at Nominal Level.
Different genres of music cannot be put into some order and are just names, hence the measurement scale would be Nominal.