We know that the sum of arc ND and arc ML divided by 2 is equivalent to 6x + 23.
Thus, we can form an equation:
6x + 23 = (11x + 8 + 3x + 14)/2
Simplify:
6x + 23 = (14x + 22)/2
Simply again:
6x + 23 = 7x + 11
Subtract 6x from both sides:
23 = x + 11
Subtract 11 from both sides
x = 12
Option A, or x = 12
-T.B.
Answer:
5.11811 inches
Step-by-step explanation:
Answer:
I am not able to see yo pics. sorry
Step-by-step explanation:
Answer:
The dimensions of the yard are W=20ft and L=40ft.
Step-by-step explanation:
Let be:
W: width of the yard.
L:length.
Now, we can write the equation of that relates length and width:
(Equation #1)
The area of the yard can be expressed as (using equation #1 into #2):
(Equation #2)
Since the Area of the yard is
, then equation #2 turns into:

Now, we rearrange this equation:

We can divide the equation by 5 :

We need to find the solution for this quadratic. Let's find the factors of 160 that multiplied yields -160 and added yields -12. Let's choose -20 and 8, since
and
. The equation factorised looks like this:

Therefore the possible solutions are W=20 and W=-8. We discard W=-8 since width must be a positive number. To find the length, we substitute the value of W in equation #1:

Therefore, the dimensions of the yard are W=20ft and L=40ft.