Answer:
any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal.
Domain is the x-values.
Scenarios where positive integers are appropriately used for the domain of the function:
<span>The function c(p) represents The cost for P people to attend the movies. (number of people can either be 0 going upwards)
</span><span>the function m(t) represents the miles driven over T hours (hours always start with 1.)
</span><span>the function t(m) represents the average high temperature for a given number of months (number of months always start with 1)
</span><span>the function p(w) represents the prophet of a farmer who sells whole watermelons (count of whole watermelon starts with 1)
</span>
<span>the function h(n) represents the number of person-hours it takes to assemble n engines in a factory (number of engines always start with 1)</span>
Answer:
g(0.9) ≈ -2.6
g(1.1) ≈ 0.6
For 1.1 the estimation is a bit too high and for 0.9 it is too low.
Step-by-step explanation:
For values of x near 1 we can estimate g(x) with t(x) = g'(1) (x-1) + g(1). Note that g'(1) = 1²+15 = 16, and for values near one g'(x) is increasing because x² is increasing for positive values. This means that the tangent line t(x) will be above the graph of g, and the estimates we will make are a bit too big for values at the right of 1, like 1.1, and they will be too low for values at the left like 0.9.
For 0.9, we estimate
g(0.9) ≈ 16* (-0.1) -1 = -2.6
g(1.1) ≈ 16* 0.1 -1 = 0.6
Answer:

Step-by-step explanation:
Given


Required

Since the events are mutually exclusive, then:

So, we have:

Take LCM



Answer:

Step-by-step explanation:
Since this is a 30-60-90 triangle, we know that the sides have the following characteristic:
The side opposite to 30 degree angle: n
The side opposite to 60 degree angle: 
The side opposite to 90 degree angle: 2n
Since we know that 7 is opposite to 30-degree, and x is opposite to 60 degree, than we know that x = 