The two labeled angles are alternate interior angles, and as such, they are the same.
From this result you can build the equation

and solve it for x: subtract 13x from both sides to get

and add 2 to both sides to get

Check: if we plug the value we found we have

So the angles are actually the same, as requested.
Answer:
x = 4
Step-by-step explanation:
<em>Perimeter of triangle = sum of all sides</em>
Side 1: 14 - 2x
Side 2: 3x - 1
Side 3: 2x + 1
<em>Perimeter= side 1 + side 2 + side 3</em>
26 = 14 - 2x + 3x - 1 + 2x + 1
26 = 14 - 1 + 1 - 2x + 3x + 2x
26 = 14 + 3x
3x = 12
x = 12/3
x = 4
!!
80% or 4/5
Since there are 2 blacks shirts and 10 in total the probability is of not poking a black shirt is 8/10 which when reduced is 4/5
Answer:
0.2637
Step-by-step explanation:
Population size is top 15 ranking restaurants.
Number of draws = 3
Number of observed successes = 5
Probability formula : [r . x } { n -r] [n - x]
solving the equation we get 24 / 91 which is approximately 0.2637
Answer: Margin of Error = 1.944
Lower Bound = 3.052
Explanation:-
Attached below is a file for monthly Rate of return. Used an excel sheet to determine the confidence interval which seems relatively easier as compared to manual computation. The range below (A2:A40) shows the monthly
Functions used : Standard Deviation as= STDEV (A2:A40)
Sample Mean = AVERAGE(A2:A40)
Margin of Error = CONFIDENCE.T(D4,D5,D2)
Lower Bound Interval = D6-D7 = -3.052