9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the triangle proportionally.
The base segment to the right of the bisector is 6-x, so we can write the proportion ...
x/6 = (6-x)/4
Multiplying by 12, we get ...
2x = 3(6 -x)
5x = 18 . . . . . add 3x
x = 18/5 . . . . divide by 5
x = 3.6
_____
<em>Alternate solution</em>
Since the base of the triangle is given as a left-part and a sum-of-both-parts, we can write the proportion the same way:
left-part / sum-of-both-parts = x/6 = 6/(6+4)
Then the solution is x = 6(6/10) = 36/10 = 3.6.
Doing it this way avoids having x on both sides of the equation, so makes solving the equation be "one step."
Answer:
It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.
Step-by-step explanation:
Given:
Let the time taken for push-ups be 'x'.
Let the time taken for sit-ups be 'y'.
Now Given:
17 push-ups and 6 sit-ups, it takes a total of 35 seconds.
So we can say that;
Also Given:
41 seconds to do 20 push-ups and 7 sit-ups.
so we can say that;
Now Multiplying equation 1 by 7 we get;
Now Multiplying equation 2 by 6 we get;
Now Subtracting equation 3 from equation 4 we get;
Now substituting the value of x in equation 1 we get;
Hence It takes 1 seconds for push-ups and 3 seconds for sit-ups for Mei to do exercise.
<span>Let x = represent the number of weeks of deposits
A = 120 + 5x the account balance after x weeks
The account balance is directly proportional to the number of weeks of deposits if:
A/x = constant
(120 + 5x)/x = 120/x + 5 is not a constant
For example:
After 1 week there will be: 120 + 1*5 = $125 on the account
After 2 week there will be: 120 + 2*5 = $130 on the account
After 3 week there will be: 120 + 3*5 = $135 on the account
But 125/1 <> 130/2 <> 135/3
The account balance is not proportional to the number of weeks of deposits.</span>
The function g(x) is a rational function, and none of the options represent the range of the function g(x)
<h3>How to determine the range of the function?</h3>
The function is given as:
g(x) = -2/x + 1
The above function is undefined at point x = 0.
This is so because -2/x is undefined.
So, we have:
g(0) = -undefined + 1
g(0) = undefined
This means that the range of the function is:
(-infinity, 1) and (1, infinity)
None of the options represent the range of the function g(x)
Read more about range at:
brainly.com/question/10197594
#SPJ1
Answer:
15
Step-by-step explanation:
PERT estimate is a measuring strategy that is based on a weighted average. It is used in measuring the uncertainty and risk via three estimates to determine an estimated likelihood for a project's cost or period of completion.
The formula is (O + 4M + P) ÷ 6
Where P is the most pessimistic = 29
M is the most likely = 12
O is the most optimistic = 10
Hence we have (10 + [4*12]+ 29) ÷ 6
= (10 + 48 + 29) ÷ 6
= 87÷6 = 14.5 ≈ 15
Rounded figure is equal to 15.
Hence the final answer to the question is 15
