Answer:
C. ∆ABD ≅ ∆CBD by the SSS Postulate
Step-by-step explanation:
We can prove that ∆ABD and ∆CBD congruent by the SSS Postulate.
The SSS postulate states that of three sides in one triangle are congruent to three corresponding sides in another, therefore, the two triangles are congruent.
From the diagram shown,
AB ≅ CB,
AD ≅ CD
BD = BD
We have three sides in ∆ABD that are congruent to three corresponding sides in ∆CBD.
Therefore, ∆ABD ≅ ∆CBD by the SSS Postulate
Given:
Height of man = 6 ft
Height of man's shadow = 11 feet
Height of building's shadow = 139 feet
To find:
The height of the building.
Solution:
We know that the heights of the objects and there shadows are always proportional.

Let x be the height of the building.

Multiply both sides by 139.




Therefore, the building is 75.8 feet long.
B
It’s the only answer that begins with a positive number
-2 (x-2y=-5)
-2x+4y=10
2x+3y=4
0+7y=14
/7. /7
y=2
2x+3 (2)=4
2x+6=4
-6. -6
2x=-2
/2. /2
x=-1