Let m∠CLN = x. Then m∠ALM = 3x, and m∠A = 90°-x, m∠C = 90°-3x.
The sum of angles of ∆ABC is 180°, so we have
... 180° = 40° + m∠A + m∠C
Using the above expressions for m∠A and m∠C, we can write ...
... 180° = 40° + (90° -x) + (90° -3x)
... 4x = 40° . . . . . . . . . add 4x-180°
... x = 10°
From which we conclude ...
... m∠C = 90°-3x = 90° - 3·10° = 60°
The ratio of CN to CL is
... CN/CL = cos(∠C) = cos(60°)
... CN/CL = 1/2
so ...
... CN = (1/2)CL
Answer:
$158.8
Step-by-step explanation:
There are 12 months in 1 year.
If in 1 year, it looses value of 10.3%, so in a month it will loose value of:
10.3%/12 = 0.8583% per month
So, to find the decreased value (in dollars) per month, we got to find 0.8583% of 18,500 dollars.
First, we need to convert percentage to decimal by dividing by 100. Then we multiply that to 18,500 to get our answer. So:
0.8583% = 0.8583/100 = 0.008583
Now,
0.008583 * $18,500 = $158.7855
Rounded to nearest tenth (1 decimal pae) = $158.8
<span>-5p^5q^4/ 8p^2q^2
= -5p^3q^2
</span><span>exponent on the p will be 3
answer
</span><span>C.3</span>
