Δ YX Z And Δ VUW are SIMILAR because all their respective angles are congruent:
∠ y = 90°; ∠ v = 90°
∠ x = 67°; ∠ u = 67°
∠ z = 23°; ∠ w = 23°
Two triangles are similar if their related angles are congruent (answer B)
Answer: <span>2,856 ft³ .</span>
_____________________
Volume of a rectangle prism = BASE AREA * height ;
The "base area" is the area of the rectangle:
(Area = length width; or, "L * w").
_______________________________________________
So, volume of a rectangular prism = L * w * h ; h = height ;
_________________________________________
V = L * w * h = 12 ft * 17 ft. * 14 ft = 2,856 ft³
_____________________________________________
Since the second angle + first angle is 90 degrees, the third angle must be 90 degrees to complete the 180 degrees in a circle.
Hope this helps!
Okay what’s the question ?
