Answer:
AB ║ CD. (Proved)
Step-by-step explanation:
See the attached diagram of the triangle.
It is given that Δ ACD is an isosceles triangle.
Therefore, AC = AD and ∠ ACD = ∠ ADC, ⇒ ∠ 3 = ∠ 4 .......... (1)
Again, given that ∠ 1 = ∠ 3 ........... (2)
Now, from equations (1) and (2) we can write, ∠ 1 = ∠ 4
Now, AB and CD are two straight lines and AD is the transverse line and hence, ∠ 1 and ∠ 4 are alternate angles that are equal.
Therefore, AB and CD are parallel straight lines and AB ║ CD. (Proved)
Answer:H311
Step-by-step explanation:h311
Answer:
$1040
Step-by-step explanation:
9 ÷ 100 = 0.09 × 500 = 45
45 × 12 = 540
500 + 540 = 1040
Answer:
130.826 kilojoules
Step-by-step explanation:
The Work required to pump water = pgV
Where, p = density of water = 1000 kg/m³
g = acceleration due to gravity = 9.81ms-¹
V = volume of water
Since, radius r = 5 ft and height h = 9ft
Volume of water in the cylindrical tank = (2/3)πr²h
V = (2/3)π *5²*9 = 471.24 ft³ = 471.24 * 0.0283m³ = 13.336m³
Work required = 1000*9.81*13.336
W = 130.826 KJ
Therefore, the work required to pump water 2/3 of the volume of the cylindrical tank = 130.826 kilojoules.
Answer:
f(x) = 1/2x + 6
Step-by-step explanation:
So before we even look at the first given formula, let's use the second formula: f(x) = -5.
Plug this formula into the x:
0 <= -5 <= 7
Is this true? Is -5 greater than or equal to 0 and less than or equal to 7?
No, this is false.
So the formula, f(x) = -5, is not the graph of f.
That only leaves one possible option!
