<u>Extending</u> one <u>side</u> of the given <u>triangle</u> one more <u>angle</u> can be obtained.
An exterior angle is the angle between any side of a shape, and a line extended from the next side.
The remote interior angles are the two angles inside the triangle that do not share a vertex with the exterior angle.
An adjacent interior angle to the exterior angle is the angle that together with this exterior angle are supplementary (when they add up to 180°).
Two angles are complementary when they add up to 90°.
Extending one side of a triangle you get exterior angle.
Answer: correct choice is C
Answers:
- x = 3
- CD = 21
- DE = 16
- CE = 21
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Explanation:
The congruent base angles are D and E. Opposite those angles are the sides CE and CD. These opposite sides are the same length.
CE = CD
16x-27 = 4x+9
16x-4x = 9+27
12x = 36
x = 36/12
x = 3
This x value then leads to the following:
- CD = 4x+9 = 4*3+9 = 12+9 = 21
- DE = 7x-5 = 7*3-5 = 21-5 = 16
- CE = 16x-27 = 16*3-27 = 48-27 = 21
We see that CD and CE are both 21 units long, which helps confirm we have the correct x value.
Answer:
The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.
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 80 seconds and a standard deviation of 6 seconds.
This means that 
What travel time separates the top 2.5% of the travel times from the rest?
This is the 100 - 2.5 = 97.5th percentile, which is X when Z has a p-value of 0.975, so X when Z = 1.96.




The travel time that separates the top 2.5% of the travel times from the rest is of 91.76 seconds.
Answer:
The step 4 and 5 describe the errors Stephen made.
Step-by-step explanation:
Given : Stephen evaluated
. His work is shown below.
To find : Which two statements describe the errors Stephen made?
Solution :
Step 1 - 
Step 2 - 
Step 3 - 
Step 4 - 
Error is the step as 4 sign is negative.
So correct step is 
Step 5 - 
Error is the step as there is 4 in place of 3.
So correct step is 
The step 4 and 5 describe the errors Stephen made.