In a triangle, the three interior angles always add to 180°
m∠R + m∠S + m∠<span>T = 180
</span><span>(2x+10) + (2x+25) + (x-5) = 180
</span>2x+10 + 2x+25 + x-5 = 180
5x + 30 = 180
5x = 150
x = 30
Answer:
533.109
Step-by-step explanation:
Just add all the numbers
For this case we have that by definition, the perimeter of the quadrilateral shown is given by the sum of its sides:
Let "p" be the perimeter of the quadrilateral, then:

So, the perimeter of the figure is: 
Answer:

Answer:
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 3 cm and a standard deviation of 0.04 cm.
This means that 
What is the probability that a bolt has a length greater than 2.96 cm?
This is 1 subtracted by the p-value of Z when X = 2.96. So



has a p-value of 0.1587.
1 - 0.1587 = 0.8413
0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.
The concept that can be used in order to answer this item is that of man-days. The total number of man-days required to do the job should always be constant.
This can be illustrated by the givens above.
Scenario 1:
N1 = (4 employees)(4 days) = 16 man-days
Scenario 2:
N2 = (2 employees)(8 days) = 16 man-days
The equation for determining the value of e is equal to,
k = (d)(e)
The answer is the second choice.