Answer:
5. -2 3/4, -2.2, 2.8, 3 1/8
6. -0.6 , 0.65 , 2/3 , 4/5
Step-by-step explanation:
72+k is equal to 180. So if you set up a equation if looks like:
72+k=180
Subtract 72 from both sides
K=108°
Your answer is 108°
The required plane Π contains the line
L: (-1,1,2)+t(7,6,2)
means that Π is perpendicular to the direction vector of the line L, namely
vl=<7,6,2>
It is also required that Π be perpendicular to the plane
Π 1 : 5y-7z+8=0
means that Π is also perpendicular to the normal vector of the given plane, vp=<0,5,-7>.
Thus the normal vector of the required plane, Π can be obtained by the cross product of vl and vp, or vl x vp:
i j k
7 6 2
0 5 -7
=<-42-10, 0+49, 35-0>
=<-52, 49, 35>
which is the normal vector of Π
Since Π has to contain the line, it must pass through the point (-1,1,2), so the equation of the plane is
Π : -52(x-(-1))+49(y-1)+35(z-2)=0
=>
Π : -52x+49y+35z = 171
Check that normal vector of plane is orthogonal to line direction vector
<-52,49,35>.<7,6,2>
=-364+294+70
=0 ok
The x intercept is when y=0. Substitute:
Solve for x by factoring.
AND
So therefore, we have our intercepts:
(3,0) & (-7/2,0)
Hope that helped!
~Cam943, Moderator
Answer:
2) tri ABC is congreunt to tri DEF
Step-by-step explanation:
you would have to make sure you name the traingles in a specific order so the congruent angles in both triangles are listed in the same order :))
