(-36 4/9) - (-10 2/9) - (18 2/9) solve
1 answer:
Convert 36 4/9 to an improper fraction. Use this rule: a b/c = ac + b/c
-36 × 9 + 4/9 - (-10 2/9) - 18 2/9
Simplify 36 × 9 to 324
- 324 + 4/9 - (-10 2/9) - 18 2/9
Simplify 324 + 4 to 328
- 328/9 - (-10 2/9) - 18 2/9
Convert 10 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.
-328/9 - (- 10 × 9 + 2/9) - 18 2/9
Simplify 10 × 9 to 90
-328/9 - (- 90 + 2/9) - 18 2/9
Simplify 90 + 2 to 92
- 328/9 - (-92/9) - 18 2/9
Convert 18 2/9 to an improper fraction. Use this rule: a b/c = ac + b/c.
-328/9 - (- 92/9) - 18 × 9 + 2/9
Simplify 18 × 9 to 162
-328/9 - (- 92/2) - 162 + 2/9
Simplify 162 + 2 to 164
-328/9 - (- 92/9) - 164/9
Simplify brackets
-328/9 + 92/9 - 164/9
Join the denominators
-328 + 92 - 164/9
Simplify
-400/9
Convert to a mixed fraction
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Answer:
x = 15
Step-by-step explanation:
There are 2 triangles. The small triangle CDE has sides that are 8 and 20.
The big triangle CAB has sides 6+8 and 20 + x. Add the 6 and 8 which is 14. Create a proportion and cross multiply, divide, then solve for x.