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gizmo_the_mogwai [7]
3 years ago
11

Which fractions have a LCD of 84? A. 3/4, 1/7, 1/6 B. 2/3, 1/6, 1/42 C. 2/27, 1/7, 1/3 D. 2/3, 1/6, 1/7

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
5 0

Answer:

A. \frac{3}{4} , \frac{1}{7} , \frac{1}{6}

Step-by-step explanation:

4 × 16 = 84

7 × 12 = 84

6 x 14 = 84

Hope this helps!

Nata [24]3 years ago
4 0

Hope this helped you!

/21 and /84

/28 and /42

/28 and /84

/42 and /84

/84 and /84

Answer:

Any with denominators of which their lowest common multiple is 84; for pairs of fractions these are:

whole numbers and /84

/2 and /84

/3 and /28

/3 and /42

/3 and /84

/4 and /21

/4 and /42

/4 and /84

/6 and /28

/6 and /84

/7 and /12

/7 and /84

/12 and /14

/12 and /21

/12 and /28

/12 and /42

/12 and /84

/14 and /84

/21 and /28

There are further possible fractions when there are three at a time, and so on upwards. With 12 fractions at a time they can all have different denominators, namely:

whole numbers, /2, /3, /4, /6, /7, /12, /14, /21, /28, /42 and /84

Though there are other possibilities with one or more repeated denominators.

With 13 or more fractions, some of them of necessity will have the same denominator since there are only 12 factors of 84, namely: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 & 84.

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In the diagram below qs and pt are altitudes and m r=55 what is m poq
guapka [62]

Answer: POQ = 125

Step-by-step explanation: If you don’t want to read my long explanation, I drew a diagram of my work. :>

First we need to establish that POQ is a vertical angle to SOT, this makes the angles equal. We also need to establish that because the definition of an altitude, that T And S both form right angles. (An altitude is a perpendicular segment from a vertex of a triangle to the opposite side.) Now let’s take a look at the quadrilateral that is formed inside the triangle, the quadrilateral being RSOT. Luckily we know the measure of three of the angles, R=55, T=90, and S=90. If you didn’t know beforehand all angles of a quadrilateral add up to 360, so we can add up the angles we’ve already found to find the missing angle O/ SOT. When we add the angles, and then subtract that from 360 we get 125, so SOT=125. Remember that we established that SOT and POQ are vertical angles, so if SOT=125 then POQ=125.

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