Answer:
Step-by-step explanation:
The two angles given in the diagram are alternate interior angles. Alternate interior angles are congruent. Therefore:
(4x)° = (x + 60)°
Use the equation to solve for the value of x
Subtract x from both sides
Divide both sides by 3
Answer:
C
Step-by-step explanation:
When we talk of rate of change, we talk of the slope of the line
If we had a line;
y = mx + b
m is the slope ( which is the rate of change)
To get the slope of the line, we select any two points on the line and apply the slope formula
m = y2-y1/x2-x1
let us take points (0,0) and (3,9)
m = 9-0/3-0 = 9/3 = 3
The slope here is 3
so from the option, we can see that the third option is the correct answer
-7(z - 6) = -70
-7z + 42 = -70
- 42 -42
-7z = -112
-7z/-7 = -112/-7
z = 16
Answer: z = 16
Answer:
y=2/15
Step-by-step explanation:
8+(6/y)=53
We move all terms to the left:
8+(6/y)-(53)=0
Domain of the equation: y)!=0
y!=0/1
y!=0
We add all the numbers together, and all the variables
(+6/y)+8-53=0
We add all the numbers together, and all the variables
(+6/y)-45=0
We get rid of parentheses
6/y-45=0
We multiply all the terms by the denominator
-45*y+6=0
We add all the numbers together, and all the variables
-45y+6=0
We move all terms containing y to the left, all other terms to the right
-45y=-6
y=-6/-45
y=2/15
hope this helps.
The perimeter of the top is
.. 2*(6.5 ft +28 ft) = 69 ft
so the lateral area of the tank is
.. 69 ft * 13 ft = 897 ft^2
The area of the bottom is
.. 6.5 ft * 28 ft = 182 ft^2
The total area is 897 ft^2 +182 ft^2 = 1079 ft^2.