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Andreyy89
3 years ago
6

If AABC ~ AEDC, find the value of x. a. 32 5.8 C. 40 d. 15

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

Answer:

x = 15

Step-by-step explanation:

If ABC similar to EDC then we can use the similarity ratio to find the value of x

32/(3x-5) = 56/(5x-5) cross multiply the fractions

160x - 160 = 168x - 280 export like terms to the same side of the equation

280 - 160 = 168x - 160x

120 = 8x divide both sides by 8

15 = x

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4) x^10

Step-by-step explanation:

1) If two numbers have the same base (i.e. x^3 and x^4) and you are multiplying them you just add the exponents. Therefore x^3*x^4 would be x^(3+4) which equals x^7.

2) When dividing similar bases you have to subtract the exponents. If we have x^18÷x^8 that is equivalent to x^(18-8) which gives us x^10.

3) If we have (x^3)^3 we will need to multiply the exponents. Therefore (x^3)^3 is equivalent to x^(3*3) which gives us x^9.

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First do what's in the parentheses,

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