You and your friends have decided to camp for a night. your friend claims the area of his tent is 408 m2. work out the area of his tent to see if he is correct. the length is 240cm and the breath is 170 cm

He is incorrect because the area of the tent is 4.08m2 and not 408m2

Step-by-step explanation:

A tent has a length of 240cm and a breadth of 170cm and a friend claims the area of the tent is 408 m2.

To calculate the area of the tent, we convert the length and breadth in centimeters to meters. Recall that 100 centimeters= 1 meter. This will give:

Length = 240cm = 240/100 = 2.4m

Breadth= 170cm = 170/100 = 1.7m

Area = Length × Breadth

= 2.4m × 1.7m

= 4.08m2

He is incorrect because the area of the tent is 4.08m2 and not 408m2.

∠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.

the correct answer is d

hope this