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Morgarella [4.7K]
3 years ago
5

FIRST CORRECT ANSWER WILL GET BRANLIEST!

Mathematics
1 answer:
il63 [147K]3 years ago
3 0
Greatest common factor (or denominator) is 6,
least common multiple is 180

hmm
(note: I spent like 30 mins trying to use a math only of finding the values but it didn't work so I did a  force brute and elimination method explained below)


so
a and b must be multiples of 6
so list all the multiples of 6
wait
180=6*30 and 30's factors are 1,2,3,5,6,10,15,30 so only list the numbers that are the result of multiplying 6 and any of those numbers in that list (so we can have the lcm of 180)
so
6*1=6
6*2=12
6*3=18
6*5=30
6*6=36
6*10=60
6*15=90
6*30=180
these are our possible candidates for the 2 numbers
now we must find the pair that has a GCD of only 6

doing the math is long and tedious so do it yourself (trial and error)

we see that our choices that fulfill both requirements (GCD of 6 and LCM of 180) are
90&12
60&18
30&36
sum them to find the least one

90+12=102
60+18=78
30+36=66

the least possible sum is 66
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x × 44ft =3564

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2 years ago
Find the perimeter and the area of the polygon with the given vertices.
7nadin3 [17]
Answer:
Area : 45 Perimeter : 2,025

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3 0
3 years ago
In segment AC, the midpoint is B. If segments AC = 5x-9 and AB = 2x, what is the measure of segment AC.
IgorLugansk [536]

Answer:

The measure of segment AC is 36 units

Step-by-step explanation:

- The mid-point divides the segment into two equal parts in length

- B is the mid point of segment AC

- That means B divides segment AC into two equal parts in length

∴ AB = BC

∵ AC = 5x - 9

∵ AB = 2x

- The two parts AB and BC are equal in length

∴ BC = 2x

∵ AC = AB + BC

- Substitute the values of AB and BC in the expression of AC

∴ AC = 2x + 2x

∴ AC = 4x

∵ AC = 5x - 9

- Equate the two values of AC

∴ 5x - 9 = 4x

- Add 9 to both sides

∴ 5x = 4x + 9

- Subtract 4x from both sides

∴ x = 9

- Substitute the value of x in any expression of AC

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∴ AC = 4(9) = 36

* The measure of segment AC is 36 units

8 0
2 years ago
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