1/2 (5-2h) = h/2, solve for h

h = 1 2/3

Step-by-step explanation:

1/2 (5-2h) = h/2

Multiply each side by 2

(5-2h) = h

Add 2h to each side

(5-2h +2h) = h+2h

5 = 3h

Divide by 3

5/3 = 3h/3

5/3 =h

1 2/3 = h

Check

1/2 (5-2*5/3) = 5/3/2

1/2 ( 5 - 10/3) = 5/6

1/2 ( 15/3 - 10/3) = 5/6

1/2 ( 5/3) = 5/6

5/6 = 5/6

A

Step-by-step explanation:

So we have the equation:

First, let's multiply both sides by 2 to get rid of the fractions. The 2s will cancel. So:

Simplify:

Add 2h to both sides:

Divide both sides by 3:

Change into mixed fractions:

So, our answer is A.

And we're done!

To check, substitute 5/3 back in:

Multiply and divide:

Subtract on the left:

Multiply:

So, our answer is correct!

check the picture below.

well, the angle at the vertex d is clearly not a right-angle, let's check for the one at the vertex f which does look like,   however if it's indeed, that means ef is perpendicular to df, in which case their slopes will be negative reciprocal of each other.

so the negative reciprocal of the slope of ef is 1, however the slope of df is not 1, is 1/2, so nope, they're not perpendicular lines.