Answer:
Angle JML= 132( given)
Triangle JML= 180( Angle sum property)
2x+ 48= KML( Exterior angle property)
In triangle JML,
76 + ∠L+ ∠KML=180°
∠KML=∠L( angles opposite to equal sides are equal)
76+2(2x+48)=180°
2(2x+48)=104°
2x=104-48=64°
x= 32°
Step-by-step explanation:
Hope it helps : )
Answer:
0.0467
Step-by-step explanation:
Probabilty of being defective is 
So probability of being good is 
Now,
Probability that all 3 of them are good is:
Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:
1 - 0.9533 = 0.0467
Answer:
51..................................................................................
Step-by-step explanation:
ggs bad anwser
a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
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The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
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b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
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Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
Any multiple of (-2x+3y=18) would constitute an "other equation" forming a system with an infiinite number of solutions. The reason for that is that the two equations would be "dependent."
On the other hand, looking at the system
<span>-2x+ 3y= 18
</span><span>-2x+ 3y= 19
we see that there is no solution. Why? Because -2x + 3y cannot equal 18 and 19 at the same time. You'd have two non-intersecting, parallel lines.
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