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Slav-nsk [51]
2 years ago
5

Quadrilateral QRST is a square. If the measure of angle RQS is 5x – 15. Find the value of x.

Mathematics
2 answers:
rodikova [14]2 years ago
6 0

angle of RQS = 45 degrees so

5X-15 = 45

5x=60

x = 12

Ira Lisetskai [31]2 years ago
6 0
X=12 because the angle is half of 90 since the diagonals of a square bisect the four angles into two halves. you set the equation equal to 45 and solve for x
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Please help :) this is exponential decay 10 pts
VMariaS [17]
$50.00 after 0 months and $37.50 after 6 months.
We first must calculate half-life using the attached formula.
Half-Life = (time * ln(2)) / ln (beginning amount/ending amount)
Half-Life = (6 * 0.69314718056) / ln (50.00 / 37.50)
Half-Life = ( <span> <span> <span> 4.1588830834 </span> </span> </span> ) / ln ( <span> <span> <span> 1.3333333333 </span> </span> </span> )
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Now we need to calculate "lambda"
lambda = ln(2) / half-life
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Next we have to use this formula:
Ending Amount = beginning amount • e^( -lambda • time )
(where "e" is the mathematical constant 2.718281828...)
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</span><span>Ending Amount = 50 * 2.718281828^(-1.1507282904)
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**********************************************************************
As a DOUBLE-CHECK we can work this out every 6 months:

0 months $50
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12 months = $37.50 -(37.50 *.25) = <span>28.125
18 months = $28.125 -(28.125 * .25) = 21.09375 </span>
24 months = $21.09375 -(21.09375 * .25) = <span> <span> <span> 15.8203125 </span> </span> </span>

You'll find this page quite helpful:
http://www.1728.org/halflif2.htm


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