Answer:
y = 10°
x = 64°
Step-by-step explanation:
Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.
For the figure to be a parallelograms, since opposite angle are equal
12y + 8 = 2x
2x - 12y = 8 ...................(i)
2x + 5y + 2 = 180(supplementary angle)
2x + 5y = 178..............(ii)
combine the equation
2x - 12y = 8 ...................(i)
2x + 5y = 178..............(ii)
make x subject of the formula in equation (i)
2x - 12y = 8 ...................(i)
2x = 8 + 12y
x = 4 + 6y
put the value of x in equation (ii)
2x + 5y = 178..............(ii)
2(4 + 6y) + 5y = 178
8 + 12y + 5y = 178
8 + 17y = 178
17y = 170
divide both sides by 17
y = 170/17
y = 10°
Put the value of y in equation (i)
2x - 12y = 8 ...................(i)
2x - 12(10) = 8
2x - 120 = 8
2x = 128
x = 128/2
x = 64°
Answer:
Step-by-step explanation:
its the first one
Answer:
7 digits can be used for each position
There are a total of 5 positions
N = 7^5 = 16,807 numbers
You have 7 choices for the first position, second position, etc.
Answer:
It says to Graph y = 1/2x - 4
So equation y = 1/2x - 4
this corresponds to slope intercept form which is y = mx + b
M = slope = rise / run
B = y - intercept
First, start at the origin, (0,0)
Then go down 4, you should now be on the coordinate (0,4)
Now we need to use the slope.
The slope is 1 / 2, this means rise 1, run 2 (in this case 2 to the right because it is positive)
So, start at (0 , 4) and go up 1 unit then 2 to the right, then place a dot, keep repeating until you meet the end of the paper.
Then do the opposite so that you can graph the other side.
Down 1 and 2 to the left.
Looking at the given points on the right side from (0,2) to (1,6) for 1 increase in X ( 1-0=1) the Y value increases by 3 ( 6/2 = 3)
This same increase happens for th other two points: 18/6 = 3
54 / 18 = 3
The rate of increase is 3.
