Answer:
Equivalent expression using n to represent the unknown number is: 
Step-by-step explanation:
The quotient of 56 and n is multiplied by 3.
Create an equivalent expression using n to represent the unknown number.
We need to write equivalent expression of The quotient of 56 and n is multiplied by 3.
We will do this step by step
First we will find:
The quotient of 56 and n
It can be written in mathematical form is: 
Now, we will find
The quotient of 56 and n is multiplied by 3.
It can be written in mathematical form as: 
So, equivalent expression using n to represent the unknown number is:
33,52 Thats what i think at least
Answer:
The correct option is (a).
Step-by-step explanation:
The vertices are equidistant from the circumcenter.
Circumcenter of a triangle is a point where the perpendicular bisectors are intersection each other.
In figure (a) the point P is the intersection point of all perpendicular bisector, therefore point P is the circumcenter of triangle ABC and the point P is equidistant from A,B and C.
Therefore option (a) is correct.
In figure (b) the point P is the intersection point of all perpendicular, therefore point P is not the circumcenter of triangle ABC.
Therefore option (b) is incorrect.
In figure (c) the point P is the intersection point of all bisectors, therefore point P is not the circumcenter of triangle ABC.
Therefore option (c) is incorrect.
In figure (d) the point P is the intersection point of all medians, therefore point P is not the circumcenter of triangle ABC.
Therefore option (d) is incorrect.
Answer:
<h3>D. P = 15 and Q = 15</h3>
Step-by-step explanation:
Put the values of P and Q to the equation Px - 45 = Qx + 75:
15x - 45 = 15x + 75 <em>subtract 15x from both sides</em>
-45 = 75 FALSE
In other cases, we get some value x.
Example:
A. P = -45 and Q = -75
-45x - 45 = -75x + 75 <em>add 45 to both sides</em>
-45x = -75x + 120 <em>add 75x to both sides</em>
25x = 120 <em>divide both sides by 25</em>
x = 4.8
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
