Answer:
x=3
z=65
Step-by-step explanation:
6x+97 and 14x+73 are vertical angles which means they are equal
6x+97= 14x+73
Subtract 6x from each side
6x-6x+97= 14x-6x+73
97 = 8x +73
Subtract 73 from each side
97-73 = 8x+73-73
24 = 8x
Divide each side by 8
24/8 = 8x/8
3 = x
Now we need to find z
6x+97 and z are supplementary angles which means they add to 180
6x+97 +z = 180
6(3) +97 +z = 180
18+97+z=180
Combine like terms
115+z = 180
Subtract 115 from each side
115-115 +z=180-115
z = 65
Answer:
1080 cm³
Step-by-step explanation:
The total volume of the boxes is 30 times the volume of 1 box.
The volume of 1 box = 36 cm³, hence
volume of 30 - 30 × 36 = 1080 cm³
Answer:
(4,-4)
x=4
y= -4
Step-by-step explanation:
We know that y is equal to and so we can plug the y value in for x into the other equation
-2x+5(-x)= -28
Solve for x
-2x-5x= -28
-7x= -28
x=4
Now that we know that x= -4 we can plug this into one of the two starting equations and solve for y
y= -(4)
y= -4
