Answer:
B=48, A=106
Step-by-step explanation:
Using A and B as the unknown variables, not the point names.
The lines in the angles of B and D mean that those angles are congruent, or the same. B=D, so B=48. The lines are the same length, as marked with the arrows, which leads to unknown variable A=106, like point A shows.
Answer:
4050 sq. feet.
Step-by-step explanation:
Fencing is done on three sides of the rectangular area.
Given that there are 180 feet of fence available.
Then 2L + W = 180 ........(1), where L = length and W = width, of the rectangular plot.
Now, the area of the plot is given by A = LW
Now, from equation (1), we ger A = L (180 - 2L) ..... (2)
Then differentiating with respect to L in the both sides we get,
{Since condition for Area to be maximum is }
⇒ L = 45 feet.
Now, from equation (2), we have square feet.
Answer:
D
Step-by-step explanation:
A line with a positive slope goes upwards from left to right.
A line with a negative slope goes downwards from left to right.
The given lines are all in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 5 has m = 2 ← positive
y = 2x - 6 has m = 2 ← positive
y = 2x has m = 2 ← positive
y = - 2x + 20 has m = - 2 ← negative
Thus y = - 2x + 20 goes downwards from left to right