Answer:
x = 18, y = 45
Step-by-step explanation:
4x - 7 + a = 180 (linear pair)
But, a = 6x + 7 (alternate interior angles)
=> 4x - 7 + 6x + 7 = 180
=> 10x = 180
=> x = 18
Now, 3y - 20 = 6x + 7 (vertically opposite angles)
=> 3y - 20 = 6(18) + 7
=> 3y = 108 + 7 + 20
=> 3y = 135
=> y = 45
Hope it helps :)
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<span><span>(<span><span>12</span><span>(<span>3+7</span>)</span></span>)</span><span>(3.5)</span></span><span>=<span><span><span>12</span><span>(<span>3+7</span>)</span></span><span>(3.5)</span></span></span><span>=<span><span><span>12</span><span>(<span>3+7</span>)</span></span><span>(3.5)</span></span></span><span>=<span><span>(<span><span>12</span><span>(10)</span></span>)</span><span>(3.5)</span></span></span><span>=<span><span>(5)</span><span>(3.5)</span></span></span><span>=17.5
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Answer:
This means that the correct initial value problem for the population p(t) as a function of time is is 
Step-by-step explanation:
The population of a town increases at a rate proportional to its population:
This means that this situation is modeled by the following differential equation:

In which k is the growth rate.
By separation of variables, the solution is given by:

In which P(0) is the initial population.
Initial population of 1000.
This means that the correct initial value problem for the population p(t) as a function of time is is 