Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)
-16t^2 + 25t + 8 = 10
-16t^2 + 25t - 2 = 0
t = 1.48 seconds
M=(6-1)/(8-5)=5/3
y=5x/3+b, using (5,1)
1=25/3+b
b=-22/3
y=(5x-22)/3
...
m=(8-3)/(-1--4)=5/3...
y=5x/3+b, using (-1,8)
8=-5/3+b
b=29/3
y=(5x+29)/3
Since they have the same slope and difference y-intercepts they are parallel lines and will never intersect.
