With isosceles triangles the angles attached to the different side are equal. So like in #1, angle S & U are equal.
Inner angles of a triangle add to get 180°. 54 + 54 =108, 180 - 108 = 72 Angle T = 72
The "solution" has the form of a graph. First, graph the line y=6 using a dashed (not solid) line. Shade the plane below this line.
Next, graph y = x-3, using a dashed line. This line has a y-intercept of (0,-3) and a slope of 1. Shade the area above this line.
The solution set is the area that has been shaded twice, once for each of the 2 given inequalities.
Answer:(x-3)=-(y-5)=z
Step-by-step explanation:
Given
the point through which line passes is (3,5,0)
so we need a vector along the line to get the equation of line
It is given that line is perpendicular to both i+j & j+k
therefore their cross product will give us the vector perpendicular to both
v=(i+j)\times (j+k)=i-j+k
therefore we get direction vector of line so we can write
=t
i.e.
x=t+3,y=-t+5,z=t
Equation of a line in slope-intercept form is y = mx + b
If it has a slope of 1/2, you set m = 1/2. If it has a y-int at the origin, you set b = 0
Put it all together:
y = 1/2x + 0
or
y = 1/2x