Find the digit that makes 3 43 divisible by 9?

Digit 8 makes 3_43 divisible by 9

Step-by-step explanation:

We have to find a number that will make 3_43 divisible by 9.

In order for a number to be divisible by 9, the sum of digits of a number should add up to 9 or any multiple of 9.

The given digits add up to

3+4+3 = 10

We can add 8 which will make the sum of digits 18 (a multiple of 9)

The number we will get is 3843 which is divisible by 9 and gives 427 as quotient.

So, digit 8 makes 3_43 divisible by 9 ..

whatare you sayig

step-by-step explanation:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4