Answer:
A = E and B = D
Step-by-step explanation:
AAS means triangles are congruent if two pairs of corresponding angles and a pair of opposite sides are equal in both triangles. In this, A corresponds to E and B to D. BC and CD are congruent. Therefore the triangles are congruent
Answer:
Surface area of pyramid = 1536 square inches.
Step-by-step explanation:
Surface area of a pyramid with the square base will be = surface area of base + 4× slant surfaces of the pyramid
area of square base = 24×24 = 576 inches²
area of one slant side of pyramid = (1/2)×side × slant height = (24×20)/2 = 240 square inches
Therefore surface area of complete pyramid = 4×area of slant side + surface area of square base = 4×240 + 576 = 960 + 576 = 1536 square inch.
As long as you have a passing grade yes you can
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
Answer:
y = 1/3x
Step-by-step explanation:
It is impossible to know the exact equation of the graph without actually seeing the graph itself or atleast having more information. Therefore, using the information provided and assuming that the graph crosses both the x and y-axis at point (0, 0) then the equation would be the following
y = 1/3x
This equation shows that the graph has a slope of 1/3 and crosses the x and y axis at point (0, 0) like mentioned above and shows in the picture attached below.
