the tradesman marks his goods at such a price that he can deduct 4 % for cash and yet makes 20 % profit . what is the mp of an article which costs rs 1400

1750

Step-by-step explanation:

So it costs 1400 to make.  20% profit means he makes 1400*1.2 = 1680.

It also tells us he can deduct 4% of what it is actually marked to get to 1680.  So we want something that fits the equation x - x * .04 = 1680.  So let's solve for x.

x - .04x = 1680 Start by combining like terms

.96x = 1680 Then divide both sides by .96

x = 1750

Double check.  subtracting 4% from 1750 is 1750*.96 = 1680

Then we already showed that a 20% profit from 1400 is also 1680

∠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.

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75