Answer:
<u>Given:</u>
- DC ║ AB
- CM = MB as M is midpoint of BC
i) <u>Since DN and BC are transversals, we have:</u>
- ∠DCM ≅ ∠NBM and
- ∠CDM ≅ ∠BNM as alternate interior angles
<u>As two angles and one side is congruent, the triangles are also congruent:</u>
- ΔDCM ≅ ΔNBM (according to AAC postulate)
So their areas are same.
ii)
<u>The quadrilateral has area of:</u>
- A(ADCB) = A(ADMB) + A(DCM)
<u>And the triangle has area of:</u>
- A(ADN) = A(ADMB) + A(NBM)
Since the areas of triangles DCM and NBM are same, the quadrilateral ADCB has same area as triangle ADN.
Answer:

Step-by-step explanation:
Remember that the sides of a cube always have the same length.
In this case the length of the sides L is:
.
The cubes have 6 faces. Then the surface area of the cube is equal to the area of its 6 faces.
Since all sides of the cube have the same measure, then the area of each face is:

Then the area of the 6 faces is:



Answer:
5250 g
Step-by-step explanation:
Given : Density of liquid is 1.50 g/ml
Volume of liquid is 3.50 liters
Solution :
Since 1 liter = 1000 ml
So, Volume of liquid is 3.50 liters = 3.5*1000 = 3500 ml.
Now 



Hence , the mass of the liquid is 5250 g.