The value of x is 20.
Solution:
Sides of one triangle are 2x – 4 and 39.
Sides of another triangle are x + 6 and 24.
<u>Property of similar triangle:</u>
<em>If two triangles are similar then their corresponding angles are congruent and the corresponding sides are in the same ratio.</em>

Do cross multiplication.




Divide by 2 on each of the term.

Solve using quadratic equation.



Ignore the negative term, because if you substitute this you will get a negative terms only. But length of sides cannot be in negative measures.
Therefore x = 20.
Answer:
$2,699.72
Step-by-step explanation:
Given that
The deposited amount is $2,000
The annual rate of interest is 6%
And, the time period is 5 years
We need to find out the amount that would be in the account in the case when it is compounded daily
So,
The following formula should be used
= Deposited amount × e^(rate, time period)
= $2,000 × e^(0.06,5)
= $2,000 × e^0.3
= $2,699.72
Nothing to drag; nowhere to drag it to.
Park A's population can be modeled by
.. y = 150*1.2^x
Park B's population can be modeled by
.. y = 150*0.8^x
12 and 2 are the two factors
Answer:
250
Step-by-step explanation:
If 15 is 6% multiplying it by 16.66666666666667 will make it 100%
15 x 16.66666666666667 = 250
Another way to do this is divide by 6 and multiply by 100