<h3>
Answer: w = 31</h3>
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Explanation:
For any triangle, the interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(w) + (4w-6) + (w) = 180
(w+4w+w) - 6 = 180
6w - 6 = 180
6w - 6+6 = 180+6 .... adding 6 to both sides
6w = 186
6w/6 = 186/6 ..... divide both sides by 6
w = 31
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Extra info:
This value of w leads to
4w-6 = 4*31-6 = 118
The three angles of the triangle are: 31, 118, 31
Because we have two congruent angles, this means the triangle is isosceles. The sides opposite the congruent angles are the same length.
Answer: 10
Step-by-step explanation:
Answer:
Supplementary Angles are two angles the sum of whose measures is 180º. Supplementary angles can be placed so they form a linear pair (straight line), or they may be two separate angles.
1) Iteration means a repetition of a rule.
a)
Considering that we have the following data:
Rate of increase: 5% per year
-
2) Then we can write out the following:
Plugging into n, the number of years we'll have:
Profits: $30,000 1st year
P: $31.500 2nd year
$33075 3rd year
(...) (...)
b) Since we want to know the predicted profit 15 years from the first year, then we can plug for that:
Note that we have plugged into n, n=15 years. Since the first year was $30,000 the profits.
Answer:
-4.42
Step-by-step explanation:
Given the following :
Population mean (pm) = 8 hours
Sample mean (sm) = 6.9 hours
Number of observations (n) = 101 students
Sample standard deviation (sd) = 2.5
Using the t-statistic formula :
[(sm - pm) / (sd/√n)]
Hence,
[(6.9 - 8) / (2.5/√101)]
[(-1.1) / (2.5/10.05)]
-1.1 / 0.2487562
= −4.422
The test statistic = - 4.42 to the nearest hundredth.
