Answer:
smallest angle measure 39 degrees
Step-by-step explanation:
the sum of the three interior angles in a triangle is always 180°
x= smallest
x +x+24 + 2x = 180
4x +24 = 180
4x = 156
x = 39
Answer:
x =4 ,y =4 and z =0 is the solution.
Step-by-step explanation:
We shall solve the equations using elimination method
In equation 2 and 3 we can see that coefficient of z in both equations are same with opposite sides , adding equations (2) and (3)
3y+5z = 12
y -5z = 4 adding the equations
___________
4y = 16
dividing both sides by 4
y =
y = 4
Plugging the value of y in equation 2 or equation 3 ,we get
3(4) +5z = 12
12+5z = 12
5z = 12-12 or 5z =0 gives z =0
plugging y =4 and z =0 in equation 1
2x+3(4)+ 0 = 20
2x+12 = 20
2x =20-12
2x = 8
x = 8 divided by 2 gives
x =4
therefore solution of the system is given by
x=4 , y =4 and z =0
Answer:
Inverse of a function
Step-by-step explanation:
If the x- and y-values in each pair of a set of ordered pairs are interchanged, the resulting set of ordered pairs is known as the inverse of a function.
For example, given the following function:
y = 2x
If x=0 → y= 0
If x=1 → y= 2
If x=2 → y= 4
Now, if we find the inverse of the function:
y = 2x → x = 2y → y = x/2
Now:
If x=0 → y= 0
If x=2 → y= 1
If x=4 → y= 2
Comparing both cases, you will notice that the ordered pairs are effectively interchanged.
Answer:
y = 4
Step-by-step explanation:
Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation.
-5 + 3y + -2y = -1 + 2y + -2y
Combine like terms: 3y + -2y = 1y
-5 + 1y = -1 + 2y + -2y
Combine like terms: 2y + -2y = 0
-5 + 1y = -1 + 0
-5 + 1y = -1
Add '5' to each side of the equation.
-5 + 5 + 1y = -1 + 5
Combine like terms: -5 + 5 = 0
0 + 1y = -1 + 5
1y = -1 + 5
Combine like terms: -1 + 5 = 4
1y = 4
Divide each side by '1'.
y = 4
Simplifying
y = 4
