Answer:
x = 11
Step-by-step explanation:
ΔLKM is an equilateral because a triangle with all 3 sides that are congruent is an equilateral triangle.
Angles in an equilateral triangle are all 60°.
Thus, ∠L = 60°.
=> 3x + 27 = 60
=> 3x = 33
=> x = 11
Answer:
<h2>See below</h2>
Step-by-step explanation:
Theoretical probability is the actual chance of something happening based on raw numbers.
For example: The theoretical probability of tails on a coin flip is 1/2 or 50%. If you flipped a coin, you would expect 50% to be heads, 50% to be tails.
However, since this almost never happens, experimental probability is used to describe the actual results.
For example: If you flip the coin 50 times and 23 are tails, 27 are heads, then the experimental probability is 46% for tails and 54% for heads.
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Answer:
9
Step-by-step explanation:
1 feet is 12 inches, so 12 feet is 12 * 12 = 144 inches.
If studs are placed 18 inches apart, in 144 inches, there will be:

<u><em>But remember, there is a stud at the very beginning (at 0 feet).</em></u>
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So in total there are going to be 9 studs
11
(9, 18, 27, 36, 45, 54, 63, 72, 81, 90 and 99)
Those numbers divisible by 9 are the multiple of 9; thus need to know how many multiples of 9 there are between 1 and 100:
100 ÷ 9 = 11 r 1 ÷ last multiple of 9 is 11 × 9 (= 99)
→ There are 11 - 1 + 1 = 11 numbers between 1 and 100 which are divisible by 9.
(They are 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99.)