Answer:
x = 3
ST = 24
Step-by-step explanation:
if T is the midpoint then ST = TU
8x = 2x + 18 move like terms to the same side
8x - 2x = 18 subtract like terms
6x = 18 divide both sides by 6
x = 3 to find ST replace x with 3
It is this property which makes the plane "flat". Two distinct lines intersect in at most one point, two distinct planes intersect in at most one line. If two coplanar lines do not intersect, they are parallel. Two lines which re not coplanar cannot intersect and are called "skew" lines.
This is a question of resolving the forces in question into horizontal and vertical and then finding the action of the resultant force.
The first force acts at an angle less than 90° and thus its resolved forces are positive. The second force acts at angle larger than 90° and is incident and thus its horizontal value is positive while its vertical value is negative.
Therefore;
For force of 300 N at 30°;
Horizontal value = 300*Cos 30 = 259.81 N
Vertical value = 300*Sin 30 = 150 N
For 150 N at 135°;
Horizontal value = 150*Cos (180-135) = 106.07 N
Vertical value = -150*Sin (180-135) = -106.07 N
Then,
Resultant horizontal value = 259.81+106.07 = 365.88 N
Resultant vertical value = 150-106.07 = 43.93 N
Therefore,
Resultant force, v = Sqrt (365.88^2+43.93^2) = 368.51 N
Angle of action measured from horizontal = tan ^-1(43.93/365.88) 6.85°
Then,
v = 368.51 N at 6.85° from horizontal
If his age is a
400 reduced by 3 times my age is 163 means
400-3a=163
minus 300 from both sides
-3a=-237
divide both sides by -3
a=79
his age was 79 at the time of the quote
