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Ivanshal [37]
3 years ago
14

Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what num

ber did she add to both numerator and denominator of her original fraction
Mathematics
1 answer:
Ber [7]3 years ago
4 0

Answer:

17 is added to both numerator and denominator.

Step-by-step explanation:

Given:

Fraction = 1/10

New fraction = 2/3

Find:

Number added to both numerator and denominator.

Computation:

Assume,

a is added to both numerator and denominator.

\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17

Therefore, 17 is added to both numerator and denominator.

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An angle measures 15 degrees more than its complement. Find the measures of the two angles
ale4655 [162]

x = one angle

y = other angle

y = 15+x

complements add to 90 degrees

x+y = 90

substitute for y (15+x)

x + 15+x = 90

combine like terms

2x+ 15 = 90

subtract 15 from each side

2x = 75

divide  each side by 2

x = 75/2

x = 37.5

y = x+15

y = 37.5 + 15

y =52.5

The two angles are 37.5 and 52.5


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