add all the angles and make them equal to 360
88 + 108 + (3x-6) + 2x = 360
196 + 5x -6 = 360
190 + 5x = 360
5x = 170
x = 34 = answer
Answer:
Option D) F
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line 
The y-intercept of the dashed line is (0,10)
The x-intercept of the dashed line is (5,0)
----> inequality B
The solution of the inequality B is the shaded area below the dashed line 
The y-intercept of the dashed line is (0,-2)
The x-intercept of the dashed line is (4,0)
The solution of the system of inequalities is the shaded area between the two dashed lines
see that attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution
therefore
The solution are the points
E, F and G
6x - 6y = 5x + 5y ; / - 6x
We solve for y ;
-6y = -x + 5y ; / -5y
-y = -x ; / *(-1) ;
y = 1*x ;
The slope is 1.
Answer:
Sunil = 10 and Sushil= 40
Step-by-step explanation:
Present ages-
Sushil= 4x
Sunil= x
5 years ago-
Sushil = 4x - 5
Sunil = x - 5
4x - 5 = 7(x - 5) = 4x - 5 = 7x - 35
= -5 = 3x - 35
= 30 = 3x
= 10 = x
So substitute the xs for 10-
Present Sushil= 4 x 10 = 40
Present Sunil= 10
The volume of a cylinder is pi*r^2*h
The radius is half the diameter, so 40/2=20, and the radius is 20 ft.
Plugging in: pi*20^2*32=pi*400*32=12800pi=40212.38597
So the volume is about 40212.4 ft^3 and the expression we used is pi*20^2*32
Hope this helped!