3/4(x+8)=9 in this equation shown what is the value of x that makes the equation true

The answer is 4.

Step-by-step explanation:

Distribute 3/4 with the (x+8). You will get 3/4x and 24/4, which is 6. Your equation will look like this: 3/4x +6=9. Subtract 6 to 9 to get 3. It will now be 3/4x = 3. Now divide 3/4 on both sides, and the answer will be x=4.

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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