What percent of 80 is 42

52.5 percent of 80 is 42.

Solution for 42 is what percent of 80:

42: 80*100 =

( 42*100): 80 =

4200: 80 = 52.5

Now we have: 42 is what percent of 80 = 52.5

Question: 42 is what percent of 80?

Percentage solution with steps:

Step 1: We make the assumption that 80 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=80$.

Step 4: In the same vein, $x\%=42$.

Step 5: This gives us a pair of simple equations:

$100\%=80(1)$.

$x\%=42(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{80}{42}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{42}{80}$

$\Rightarrow x=52.5\%$

Therefore, $42$ is $52.5\%$ of $80$.

`1234567890-=/*-qwertyuiop[]asdfghjkl; '\\zxcvbnm,./+ /

∠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.