the Since D is the midpoint of AC, we can say that AD=DC, then the triangles ADE and CDF would be similar by the SAS theorem which states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.
If the triangles are congruent, their angles are equal.
Answer:
b
Block B has the greatest density.
Step-by-step explanation:
density = mass/volume
volume = length × width × height
All blacks have the dimensions 7 cm by 3 cm by 1 cm, so the 3 volumes are equal.
Since density = mass/volume, and the volumes are equal, the block with the highest mass has the highest density.
Since all the masses are different, all densities are different.
Answer: Block B
For similar triangles, the ratio of the corresponding sides are equal. To determine the common ratio, we take the square root of the ratio of the given areas.
ratio = sqrt (384 / 1057)
ratio = 384/1057
Then, for the volume, we have to cube the ratio calculated above. If we let x be the value of the volume of the smaller solid.
(384/1057)^3 = x/1795
x = 86 yd
Thus, the volume of the smaller figure is 86 yd³.