Answer:
z = 61
Step-by-step explanation:
The exterior angle is congruent (equal to) the sum of the 2 farthest angles from it, so you can set the equation like this:
z + z - 11 = z + 50
Add like terms, which would be the 2 "z's" on the left side:
2z - 11 = z + 50
Then subtract the z on the right side from both sides:
2z - 11 = z + 50
-z -z
___________
z - 11 = 50
Add 11 to both sides:
z - 11 = 50
+ 11 +11
________
z = 61
Answer:
y-coordinate = 0
Step-by-step explanation:
Consider the below diagram attached with this question.
Section formula:
If a point divides a line segment in m:n whose end points are
and
, then the coordinates of that point are

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.
Using section formula, the coordinates of that point are




Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.
Answer:
624
Step-by-step explanation:
the area of the triangles:
12*10 = 120
120/2 = 60
since there are 2 triangles of the same dimensions that make up the surface area 60 + 60 = 120
area of the rectangles:
13*14 = 182
since there are 2 rectangles of the same dimensions 182 + 182 = 364
The last rectangular:
10*14 = 140
add all areas:
120 + 364 + 140 = 624
These are the steps good luck