Answer:
B
Step-by-step explanation:
-1.6 > b - (-4.4) =
-1.6 > b + 4.4 ( - - cancels to become a +)
move 4.4 to left by subtracting 4.4 from both sides
-1.6 - 4.4 > b + 4.4 - 4.4 =
-6.0 > b + 0 =
-6.0 > b
Answer:
80°
Step-by-step explanation:
Let the angle be x then four times it's complement plus 60, that is
4(90 - x) + 60 ← is it's supplement
Supplementary angles sum to 180°
Sum the angle and it's supplement and equate to 180
x + 4(90 - x) + 60 = 180 ← distribute and simplify left side
x + 360 - 4x + 60 = 180
- 3x + 420 = 180 ( subtract 420 from both sides )
- 3x = - 240 ( divide both sides by - 3 )
x = 80
The required angle = x = 80°
supplement = 4(90 - 80) + 60 = 4 × 10 + 60 = 40 + 60 = 100°
Material=wall+2*side and material is 40 ft so:
40=w+2s
w=40-2s
Area=ws, using w from above we get:
A=(40-2s)s
A=40s-2s^2
dA/ds=40-4s and d2A/ds2=-4
Since d2A/ds2 is a constant negative acceleration, when dA/ds=0, A(s) is at an absolute maximum.
dA/ds=0 when 4s=40, s=10 ft
And since w=40-2s, w=20 ft
So the dimensions of the pen are 20 ft by 10 ft, with the 20 ft side being opposite the wall. And the maximum possible area is thus 200 ft^2
Step-by-step explanation:
Thr triangles are similar if any two sides are proportional.
In this, we cannot see any proportional sides, like
DU should be proportional to UT, it is not.
SU should be equal to UE ,it is not.
So, The triangles are not similar.
Hope it helps :)
