Step-by-step explanation:
![ratio \:of \:surface \:areas\\=\frac{2[5\times 7 + 7\times 3+3\times 5]}{2[20\times 28+ 28\times 12+12\times 20] }\\\\=\frac{[35 + 21+15]}{[560+ 336+240] }\\\\=\frac{71}{1136}\\\\=\frac{1}{16}\\\\= 1\: :\: 16](https://tex.z-dn.net/?f=%20ratio%20%5C%3Aof%20%5C%3Asurface%20%5C%3Aareas%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B2%5B5%5Ctimes%207%20%2B%207%5Ctimes%203%2B3%5Ctimes%205%5D%7D%7B2%5B20%5Ctimes%2028%2B%2028%5Ctimes%2012%2B12%5Ctimes%2020%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B%5B35%20%2B%2021%2B15%5D%7D%7B%5B560%2B%20336%2B240%5D%20%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B71%7D%7B1136%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%5Cfrac%7B1%7D%7B16%7D%5C%5C%5C%5C%3C%2Fp%3E%3Cp%3E%3D%201%5C%3A%20%3A%5C%3A%2016)
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of x
we know that
Triangles CDF and FDE are similar
therefore
The ratio of its corresponding sides is proportional and its corresponding angles are congruent
so
Part 2) Find the length of DE
substitute the value of x
Answer:
he would need 2 3rd of a gallon m
Step-by-step explanation:
mark me brainliest pls
3/4 - 2/3
3/4 × 3 = 9/12
2/3 × 4 = 8/12
9/12 - 8/12 = 1/12
Tom's score is 1/12 because in order to find his score, you'll have to subtract. So you have to subtract 3/4 - 2/3 but you can't subtract it since they don't have a common denominator. What you have to do to find the common denominator is to find the least common denominator by finding a multiple of 4 and 3. I know that 4 × 3 = 12 and 3 × 4 = 12, so that is gonna be my denominator. Now, we just have to multiply 3/4 by 3 and 2/3 by 4 and we have the answers of 9/12 and 8/12. Now I can subtract. 9/12 - 8/12 is gonna equal 1/12. This shows how I got my answer of 1/12.
