Hello from MrBillDoesMath!
Answer:
l = 12 feet, w = 5.5
Discussion:
Let w be the width of the pen and "l" the length. From the problem statement
l = w + 6.5 and the perimeter, P, of the fence -= 35.
Now the perimeter of the rectangle is given by the formula
P = 2l + 2w.
In our case, P = 35 and l = w + 6.5 so the equation becomes:
35 = 2(w+6.5) + 2w =>
35 = 2w + 13 + 2w =>
35 = 4w + 13 => (subtract 13 from both sides)
35-13 = 4w =>
22 = 4w =>
w = 22/4 = 5.5 feet
As, l = w + 6.5, l = 5.5 + 6.5 = 12 feet
Thank you,
MrB
Answer is 12
K=y/x (rise over run)
The same rise over run happens to the next point, up 12 over 1
Answer:
Essentially, slope is rise/run. Rise is how many units up the graph, and run is how far to the left or right it goes. Rise will be negative if it's going down, and run will be negative if it's going left. There's two ways to find the slope in this case.
1. Stick to the more visual aspect of it, and count how many units up from one point to the next point. Point (1,2) is 2 units up from point (0,0). Then you count how many units right or left it goes. In this case, it's 1 towards the right. This means the rise/run comes out to be 2/1, which means the slope=2.
2. Look at the equations. y=mx+b is the linear format for these lines. y is the y coordinate, m is the slope, x is the x coordinate, and b is the y intercept (the point where x=0). These two lines have shared slope values, which means the slope for both of them is 2.
(please brainliest?)
Answer:
see the procedure
Step-by-step explanation:
we know that
m∠1+m∠2=180° -----> supplementary angles (form a linear pair)
we have
m∠1=27° ----> given problem
substitute the measure of m∠1 in the equation above and solve for m∠2
27°+m∠2=180°
Subtract 27° both sides
27°+m∠2-27°=180°-27° ----> by subtraction property of equality
m∠2=153°
(a)
different possibilities
(b)
So, there is a 1 in 4 chance that both dice will show an even.
