Answer:
z = 3
Step-by-step explanation:
Since the points are collinear then the slopes between the points are equal.
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)
m = 
= 1
Repeat with
(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )
m = 
= 
, then
= 1 ( multiply both sides by 5 )
z + 2 = 5 ( subtract 2 from both sides )
z = 3
Answer:
Scalene
Step-by-step explanation:
Because all of the sides are different lengths
In short, (h o g)(a) is just h( g(a) ).
so what we can do is simply get g(a) first and then plug that in h(x).
Answer:
x = 12
Step-by-step explanation:
To get the value of x, we use the mid-segment theorem of trapezoid
The theorem is that the mid-segment is half the sum of the other two segments
We have this as
;
5x - 20 = 1/2(2x + 6 + 4x + 2)
2(5x-20) = 6x + 8
5x -20 = 3x + 4
5x -3x = 4 + 20
2x = 24
x = 24/2
x = 12
