Answer:
Yes, SAS theorem. Angle ACB and Angle ECD are congruent because of the vertical angles theorem.
Step-by-step explanation:
Answer:
a.) 
b.) therefore b = 
b is the rate of increase of number of members
c.) The club will not be able to get more than 5000 members during its first year.
Step-by-step explanation:
i) the club started with 2100 members.
so we can write
= 2100.
a.) so we can write the equation as an exponential function given by
where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .
therefore 2142 = 2100
= 2100
b.) therefore b = 
b is the rate of increase of number of members
c.) Will the club have more than 5000 members during its first year? Justify your reasoning.
5000 = 2100
therefore x = 
The club will not be able to get more than 5000 members during its first year.
Answer:
0.430625=0.431
Step-by-step explanation:
Answer:
0.430625 = 0.431
Step-by-step explanation:
Let W represent winning, D represent a draw and L represent a loss.
12+ points can be garnered in each of the following ways.
6W 0D 0L
5W 1D 0L
5W 0D 1L
4W 2D 0L
4W 1D 1L
4W 0D 2L
3W 3D 0L
The probability of getting 12+ points is the sum of all these 7 probabilities.
Knowing that P(W) = 0.5
P(D) = 0.1
P(L) = 0.4
P(6W 0D 0L) = [6!/(6!0!0!)] 0.5⁶ 0.1⁰ 0.4⁰ = 0.015625
P(5W 1D 0L) = [6!/(5!1!0!)] 0.5⁵ 0.1¹ 0.4⁰ = 0.01875
P(5W 0D 1L) = [6!/(5!0!1!)] 0.5⁵ 0.1⁰ 0.4¹ = 0.075
P(4W 2D 0L) = [6!/(4!2!0!)] 0.5⁴ 0.1² 0.4⁰ = 0.09375
P(4W 1D 1L) = [6!/(4!1!1!)] 0.5⁴ 0.1¹ 0.4¹ = 0.075
P(4W 0D 2L) = [6!/(4!0!2!)] 0.5⁴ 0.1⁰ 0.4² = 0.15
P(3W 3D 0L) = [6!/(3!3!0!)] 0.5³ 0.1³ 0.4⁰ = 0.0025
The probability of getting 12+ points = 0.015625 + 0.01875 + 0.075 + 0.09375 + 0.075 + 0.15 + 0.0025 = 0.430625
Read more on Brainly.com - brainly.com/question/14850440#readmore
Answer:

Step-by-step explanation:
step 1
Find the slope of the perpendicular line
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal
(the product of their slopes is equal to -1)
In this problem
we have

The equation of the given line is 
so
the slope of the perpendicular line to the given line is

step 2
Find the equation of the line in point slope form

we have


substitute

Convert to slope intercept form

Distribute right side



This would mean that the ratio is 2:1 or 2 to 1 or also 2/1.
The ratio would be that because it's 2 centimeters per 1 kilometer.