Just add a similar triangle from the opposite side
Then what happens
- Hypotenuse of this triangle becomes common and diagonal of the rectangle.
Now
Area
- Area of triangle=20/2=10units^2
7x - 3(-2) = 23
7x - - 6 = 23 (two minuses make a plus)
so it’s gonna be 7x + 6 = 23
Now you have isolate you x, so move everything else to the other side, but remember to change your sign when transferring to the other side
7x = 23 - 6
7x = 17
To isolate x in this multiple, you divide by 7 (because the inverse of multiplication is division)
x = 17/7
Answer:
7pi/2
Step-by-step explanation:
Given the expression cosec x = -1
I'm trigonometry csecx = 1/sinx
The equation becomes
1/sin(x) = -1
Sinx = -1
x = arcsin(-1)
x = -90°
x is negative in the third and 4th interval
Third interval;
x = 180+90
x = 270°
x = 3pi/2
Since the angle should be within 3pi < x < 4pi
Add 2pi to the angle
x = 2pi+ 3pi/2
x = 7pi/2
Hence the required angle is 7pi/2
9514 1404 393
Answer:
x = 14
Step-by-step explanation:
The sum of angles in a triangle is 180°:
∠O +∠P +∠Q = 180°
(2x -5)° +(3x -8)° +(10x -17)° = 180°
15x -30 = 180 . . . . . divide by °, collect terms
x -2 = 12 . . . . . . . . . divide by 15
x = 14 . . . . . . . . . . . .add 2
