Orange first = 9/13
Blue next = 4/12
<span>P(both) = (9/13)*(4/12) </span>
<span>P(both) = 3/13 ~ 0.23</span>
Answer:
If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
<span>19.8 m
We have 2 similar triangles. For the 1st triangle, we have two legs, one being the man's height of 1.8m and the second being the length of his shadow at 6m. So we have the ratio 1.8/6. The other triangle is comprised of the pole's height and length of the pole's shadow which will be 60m + 6m = 66meters. So we have another ratio of x/66 which has the same value as the first ratio. So let's solve for x.
1.8/6 = x/66
66*1.8/6 = x
11*1.8 = x
19.8 = x
So the light pole is 19.8 meters tall.</span>
and h(x)= 2x-8
g o h is a composition function
First we find g o h
g o h is g(h(x))
We plug in h(x) in g(x)
We replace x with 2x-8 in g(x)
To find domain we look at the domain of h(x) first
Domain of h(x) is set of all real numbers
now we look at the domain of g(h(x))
Negative number inside the square root is imaginary. so we ignore negative number inside the square root
So to find domain we set 2x - 12 >=0 and solve for x
2x - 12 >=0
add both sides by 12
2x >= 12
divide both sides by 2
x > = 6
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I really hope this helps and havea great Friday:)</span>
