Answer:
x = 11
Step-by-step explanation:
ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.
Angles in an equilateral triangle are all 60°.
Thus, ∠L = 60°.
=> 3x + 27 = 60
=> 3x = 33
=> x = 11
Answer:
The margin of error for a 90% confidence interval is 16.4
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 25
Standard deviation = 50
Margin of error =
Putting the values, we get,
Thus, the margin of error for a 90% confidence interval is 16.4
Answer:
0.30555555....
Step-by-step explanation:
(The fives keep on coming, this is a repeating decimal.)
Since the distance of MN is 31 and we have a distance of ML
of h -15 and LN of 2h – 8, therefore
ML + LN = h -15 + 2h – 8 = 31
h = 18
substituting the value of h to the expression for LN
obtaining
LN = 2h – 8
LN = 2(18) – 8
LN = 28
Therefore the length of the segment LN is 28 units
Answer:
<em>For 10 visits, both gyms charge the same</em>
Step-by-step explanation:
<u>Equations</u>
Gym memberships' costs are:
G1 = 100 + 2x
G2 = 12x
Where x is the number of visits to the gym.
We need to find the number of visits for which the charges for both gyms are the same. Thus equating the costs:
12x = 100 + 2x
Subtracting 2x:
10x = 100
Dividing by 10:
x =10
For 10 visits, both gyms charge the same
