Mathematics, 17.12.2020 23:10 pulpfree8057

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Answer from: amc9639

8/9 is greater than 5/6

Step-by-step explanation:

Steps for comparing fractions

Find the least common denominator or LCM of the two denominators:

LCM of 9 and 6 is 18

For the 1st fraction, since 9 × 2 = 18,

8 /9 =

8 × 2 = 16

9 × 2 = 18

Likewise, for the 2nd fraction, since 6 × 3 = 18,

5 /6 = 5 × 3

6 × 3 = 15 /18

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

16 /18 > 15 /18 or 8 /9 > 5 /6

Answer from: daquan20035

the answer is 16/18 and 15/18 for the first part, and > for the second part

Step-by-step explanation:

The common denominator for both is 18, because you can multiply 6 by 3 to get 18, and 9 by two to get 18. Then you multiply both the numerators and denominators by the same number, so since we multiplied 9 by 2, we must also do that for 8, and since we multiplied 6 by 3, we must also do that for 5. We get the fractions 16/18 and 15/18. Since they both have the same denominator now, we can compare them directly. 16 out of 18 equal parts (16/18) is greater than 15 out of 18 equal parts (15/18), so 16/18 > 15/18.

Answer from: Quest

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12

Answer from: Quest

What can we do about it

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