Answer:
<h2><em>
2(3s-14)</em></h2>
Step-by-step explanation:
Given the angles ∠ABF=8s-6, ∠ABE = 2(s + 11), we are to find the angle ∠EBF. The following expression is true for the three angles;
∠ABF = ∠ABE + ∠EBF
Substituting the given angles into the equation to get the unknown;
8s-6 = 2(s + 11)+ ∠EBF
open the parenthesis
8s-6 = 2s + 22+ ∠EBF
∠EBF = 8s-6-2s-22
collect the like terms
∠EBF = 8s-2s-22-6
∠EBF = 6s-28
factor out the common multiple
∠EBF = 2(3s-14)
<em></em>
<em>Hence the measure of angle ∠EBF is 2(3s-14)</em>
Jayden ran 1/5 of his total distance in 1 minute. His total distance is 6/5 of a kilometer. He ran 6/25 of a kilometer in 1 minute or 3/5 of a lap.
Answer:
0.5
Step-by-step explanation:
42 divided by 2/3 = 7
7 divided by 2/7 = 0.5
It seems like you put the same equation up there twice, but no worries! :)
8x + 32 = 2(25x - 15) - 11x
Simplify.
8x + 32 = 50x - 30 - 11x
Add like terms.
8x + 32 = (50x - 11x) - 30
Simplify.
8x + 32 = 39x - 30
Now we must subtract 32 from both sides.
8x = 39x - 30 - 32
Then, subtract 39x from both sides.
8x - 39x = -30 - 32
Simplify.
-31x = -62
Finally, divide both sides by -31.
-31x ÷ -31 = -62 ÷ -31
Simplify.
x = 2
~Hope I helped!~
Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1
The probability that randomly selected thermometer reads greater than 2.07 is
P(z > 2.07) = 1 -P(z < 2.07)
Using z score table to find probability below z=2.07
P(Z < 2.07) = 0.9808
P(z > 2.07) = 1- 0.9808
P(z > 2.07) = 0.0192
The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192
