The density of an object is its mass per unit volume. an object has a mass of 4.2 grams and a volume of 2 cm3. what is the density of the object?
a. 8.4 g/cm^3
b. 0.5 g/cm^3
c. 2.1 g/cm^3
d. 2.2 g/cm^3

C. 2.1 g/cm^3

Step-by-step explanation:

The density of an object is its mass per unit volume.

The formula for density is:

The object has a mass of 4.2 grams.

and a volume of 2 cubic centimeters

We substitute the known values into the formula to get:

We simplify to obtain:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.