The statement is not always true.
For Example...
The LCM of 6 and 8 is not the product of the two numbers
6*8= 48
48 is not the LEAST common multiple
Multiples of 6 are...
6,12,18,24,30,36,42,48...
Multiples of 8 are....
8,16,24,32,40,48...
The least common multiple is 24 not 48 even though they are both common multiples.
Answer: X = 27
Step-by-step explanation: If we observe very closely, we have two similar triangles in the diagram. The first one is ABC and the other triangle is EDC. Also take note that angle ACB in the first triangle is equal in measurement to angle ECD (45 degrees) in the other triangle, (Opposite angles).
Hence in triangle ECD, we have identified two angles so far which are angle 2x + 10 and angle 45. Same applies to triangle ABC, we already have two angles which are, 3x - 10 and 45.
However angle D in the second triangle is equal in measurement to angle B in the first triangle
(Alternate angles).
Hence we have a third angle in triangle ABC which is
Angle B = 2x + 10.
Therefore 3x - 10 + (2x + 10) + 45 = 180
(Sum of angles in a triangle)
3x - 10 + 2x + 10 + 45 = 180
By collecting like terms we now have
3x + 2x = 180 + 10 - 10 - 45
5x = 135
Divide both sides by 5,
x = 27
Answer:
The dependent variable is m
Step-by-step explanation:
A dependent variable is dependent on an independent variable. This variable is dependent on other variable that are measured . The dependent variable are expected to change as a result of the manipulation of the independent variables. Usually as the experiments changes the independent variable the dependent variable are observed and noted.
The independent variable is unaffected by the other variable you are measuring. The independent variable represent a quantity that is been manipulated in an experiment.
According to the question Jenny works as a server at Jefferson restaurant . The more table she is assigned to serve the more money she earns during a shift.
The independent variable is the number of table Jenny served because this is what she has control over.
The dependent variable is the amount of money Jenny earns because the amount of money she earns is dependent on the number of tables she served . Therefore the dependent variable is m
It is A, 60° because 180° (degree of the whole triangle) divided by the three angles is 60.
