Answer:
Step-by-step explanation:
Suppose we have a general triangle like the one shown in the figure.
We know the angle A, the angle B and the length b.
By definition I know that the sum of the internal angles of a triangle is always equal to 180 °.
So
We solve the equation and thus we find the angle C.
We already know the three triangle angles.
Now we use the sine theorem to calculate the sides c and a.
The sine theorem says that:
Then
Also
Finally, we use the Heron formula to calculate the triangle area
Where s is:
Therefore
To find the value of x we first need to find the missing angle in the triangle.
To do that we are gonna add the angles we already have.
64 + 45 = 109
Angles in a triangle measures 180 so to get the missing angle we are gonna subtract 109 from 180
180 - 109 = 71 deg
The missing angle in the triangle is 71 deg
Angles on a straight line adds up to 10 so to find x we are gonna subtract 71 from 180
180 - 71 = 109 degrees
Therefore x is 109 degrees.
Answer:
Intersept is (4.55,0)
Step-by-step explanation:
Answer:
The values of 
and 
for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let 
, if this linear system has infinitely many solutions, then the following conditions must be met:
and 
.
and
The values of and for a linear system with infinitely many solutions are -2 and 5, respectively.
