Which operation is going to be performed first
3÷2+(10-2×4)

parenthesis

Step-by-step explanation:

Hello!

To know what the order of operations is we go by PEMDAS

Parenthesis then Exponents then multiplication and division from left to right then addtion and subtraction from left to right.

Since parenthesis are in this equation we would do those first

The answer is parenthesis

Hope this helps!

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