Answer:
x=42 degrees
y= 66 degrees
z=66 degrees
Step-by-step explanation:
X is equal to 42 degrees because all angles in a triangle add up to 180, and since we are given two angles of the triangle, we can add them, then subtract the answer from 180.
48+90=138
180-138=42
Therefore x is 42 degrees.
For angle y and z, they are made up of 3 angles that equal 180. We have one angle measurement given, 48. So we would subtract that from 180, then divide the answer by 2.
180-48=132
132/2=66.
Therefore y and z is 66 degrees.
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Answer:
-18 = -18 It is true.
Step-by-step explanation:
-6 -1.5(4b+8) = 3(-6 -2b)
-6 -6b - 12 = -18 -6b
-6b -18 = -18 -6b
+6b +6b
-18 = -18
It is true.
You cannot assume the angles add to 90, but you know since BD is an angle bisector that ABD is equal to DBC, or x-5=2x-6
x=1. this is the correct solution to the equation but gives negative angles when plugged in which isn't possible. there must be something wrong work the question
Answer:
Indefinite integration acts as a tool to solve many physical problems.
There are many type of problems that require an indefinite integral to solve.
Basically indefinite integration is required when we deal with quantities that vary spatially or temporally.
As an example consider the following example:
Suppose that we need to calculate the total force on a object placed in a non- uniform field.
As an example let us consider a rod of length L that posses an charge 'q' per meter length and suppose that we place it in a non uniform electric field which is given by

Now in order to find the total force on the rod we cannot use the similar procedure as we can see that the force on the rod varies with the position of the rod.
But if w consider an element 'dx' of the rod at a distance 'x' from the origin the force on this element will be given by

Now to find the whole force on the rod we need to sum this quantity over the whole length of the rod requiring integration, as shown

Similarly there are numerous problems considering motion of particles that require applications of indefinite integration.