2x+1=13 x=6 so an ok answer would be: 2x+10=40 x=15
1) ABF & EBD ARE SUPPLEMENTARY ANFLES (ABF + EBD =180)
2) FED=?. Note that FED=GEC=(16x-8).
Now in Triangle FED, the relation is (16x-8) + 35 + (2x+9) =180
hence x=8 & DEF=120
Answer:
10√2
Step-by-step explanation:
This is a 45-45-90 triangle which means that the two non-hyptonouse lenghts are the same which means that the bottom lenght of the triangle is also 10 units
We can then use a^2+b^2=c^2 to solve for the last side
so we have
10^2+10^2=x^2
200=x^2
sqrt200=x
and I see that they want an exact answer so you simplify sqrt200 to
10√2
Answer:
y =
x + 2
Step-by-step explanation:
To find the slope:
Find two spots where the line intersects and exact point. (-8,-4)(-4,-1)
Either count up & over or do y1-y2 / x1-x2 (-4+1)/(-8+4) -3/-4 3/4
The intercept is where it crosses the y-axis, in this case 2
Write the equation like this y = mx + b where m=slope & b=intercept
y = 3/4x + 2
Answer:
D) Yes. The five trials are independent, have only two outcomes, and have the same P(success); n = 5, r = 2, p = 1/6.
Step-by-step explanation:
The Number of boxes = 6
Box containing a prize = 1
Probability of success, p = box containing a price / number of boxes = 1 /6
Number of trials = 5
Probability of success on exactly 2 trials, r = 2
Hence,
P(r = 2) = nCr * p^r * (1-p)^(n-r)
n = 5 ; r = 2 ; p = 1/6
Using a binomial probability calculator :
P(r = 2) = 0.1608