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padilas [110]
3 years ago
9

What is the mode of the following numbers? 4, 9, 6, 3, 4, 2

Mathematics
2 answers:
KengaRu [80]3 years ago
6 0

Answer:

4

Step-by-step explanation:

Mode is the number that appears most often

4 is the only number that appears more than once so it is the mode

xxMikexx [17]3 years ago
5 0
The mode is 4
You can find the mode by counting how many 4 are
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∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.
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Answers:

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  • angle CAT = 126 degrees
  • angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

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  • m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

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