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:1
1.
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula, a 4 sided figures angles will add up to
This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.
Combine like terms:
Divide both sides by 12:
We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x = °
∠BCD = 3x = °
∠CDA = 2x = °
∠DAB = 3x = °
Hope this helped!
