Let's say x is longest side, y is shortest side and z is the other side. So we have some equations such that
(by the first sentence)
(by the second sentence)
(by the third sentence)
By the second equation, we have
and if we use it in the first equation, then
. So
Since
, if we use it in the third equation the we have
then
Therefore
Answer:
x = -14
Step-by-step explanation:
Look at the image attatched. I have labeled the angles for better explanation.
We know that angle 1 is 54 degrees as is rests on a straight line with its adjacent angle at 126 degrees. This means that angle 1 would be 180 - 126 degrees, or 54 degrees. We also know that angle 1 and 3 must be congruent as the sides of the triangle opposite those angles are congruent as well. This means that both those angles are 54 degrees. Since the sum of all angles in a triangle must equal 180 degrees, we can get that angle 4 is 180 - (2*54) degrees, or 72. Since angle two and angle 4 both lie on a straight line, they must add up to 180 degrees. This means that the value of angle 2 would be 180 - 72, or 108 degrees. Since angle 2 is also equal to x+122, we get the equation:
108 = x + 122.
We then solve this by getting:
x = 108 - 122
which gives us the answer of
x = -14
yiiwui. itjirn. riektkkrm. roeoykot.
Step-by-step explanation:
'll
'llhdieo
xodetrd5d5d
n3metnnrnt
tkektmykm uieuieiykir. krjrjunk. irkukkekumk. v. eitkkrn6u. diynkfn. rjynjenynkenukkt 'll
'll
Finding common denominators allows you to more easily get your answer for the problem. fractions are complex as it is if you have a denominator of 16 and 4 your immediate reaction would be to just subtract the process and answer would be completely wrong.
x - boat speed; y - current speed; Path = 336:2 = 168 miles
1) 12 * (x + y) = 168; -> x + y = 14;
2) 14 * (x - y) = 168; -> x - y = 12;
1) x = 14 - y;
2) (14 - y) - y = 12;
14 - 2y = 12;
2y = 2;
y = 1 mph
x = 14 - 1 = 13 mph
Answer:
Boat speed = 13 mph
Current speed = 1 mph
