Answer:
The value of (x + y)³ is 1728.
Step-by-step explanation:
First, you have to find the value of x + y :
x² + 2xy + y² = 144
x² + xy + xy + y² = 144
x(x + y) + y(x + y) = 144
(x + y)(x + y) = 144
(x + y)² = 144
x + y = √144
x + y = 12
Next, the value of (x + y)³ :
(x + y) = 12³ = 1728
Step-by-step explanation:
18h=252
9h=?(x)
9×252=18x
2268=18x
2268/18=x
x=126
The money altogether is 8.00$
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)
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