2+x=50
That is what I would do. I hope this helps!
Answer:
Step-by-step explanation:
<u>Incenter is the intersection of angle bisectors.</u>
- ∠MJP = ∠OJP, ∠MKP = ∠NKP, ∠NLP = ∠OLP
<u>First find the value of x:</u>
- 7x - 6 = 5x + 4
- 7x - 5x = 4 + 6
- 2x = 10
- x = 5
<u>Find the angle MJP:</u>
<u>We know sum of interior angles of a triangle is 180°. Using this find the missing angle measure:</u>
- 2*m∠MJP + 2*m∠NJP + 2*m∠MKP = 180°
- m∠MJP + m∠NJP + m∠MKP = 90°
- 29° + 26° + m∠MKP = 90°
- m∠MKP = 90° - 55°
- m∠MKP = 35°
All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.
The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that
So, 
is multiplying the parenthesis involving 
and 
, and we distributed it: multiplies both and in the final result.
Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum 
, and neither 
exponents count.
But you can su, for example,
or
So, take for example exercise 9:
We distribute the 1.2 through the first parenthesis:
And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):
So, the expression becomes
Now sum like terms:
Answer:
The standard deviation (σ) = 0.05
Step-by-step explanation:
The question is to find the standard deviation.
STEEP 1: FIND THE MEAN
(10+9.9) ÷ 2 = 9.95
STEP 2: SQUARE THE DIFFERENCE BETWEEN SPRINT TIME AND MEAN
10-9.95= 0.05
0.05^2 = 0.0025
9.9 - 9.95= -0.0025
-0.0025^2 = 0.0025
STEP 3: FIND THE VARIANCE
0.0025+0.0025= 0.005
0.005/2= 0.0025
STEP 4: FIND THE STANDARD DEVIATION (σ )
√variance
√0.0025 = 0.05
Therefore
σ = 0.05.
From the standard deviation, the percentage probability of the higher value to occurs is
0.05×100= 5%
That means Doug has 95%
And Bob has 5%
