Answer:
x = 3
Step-by-step explanation:
The pair of angles given are alternate angles (they form a 'Z' shape). Alternate angles are always equal to each other. From this, we can get the equation:
14x - 13 = 8x + 5
Collect like terms,
6x - 13 = 5
6x = 18
x = 3
Hope this helped!! Ask me if there's any part of the working you don't understand :)
Answer: approximately 10.8 centimeters
Step-by-step explanation:
We have a square, where each side measures approx. 4.25 in
Now we know that 1in ≈ 2.54 cm
Then, in 4.25 in, we have 4.25 times 1 inch, so we have 4.25 times the length of 2.54 cm
So the approximate measure of the sides in centimeters is:
4.25*(2.54)cm = 10.8 cm
So we have that each side measures approximately 10.8 centimeters
Antonio has 24 coins in his pocket this is how I found the answer
(5/8)x=15
x=15/ (5/8)
x=15*(8/5)
x=120/5
x=24
I really hope this helps
<h3>
Answer: 31 games</h3>
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Explanation:
- 32/2 = 16 games will happen in round 1. Afterward, 16 teams are left.
- 16/2 = 8 games will happen in round 2. Afterward, 8 teams are left.
- 8/2 = 4 games happen in round 3.
- 4/2 = 2 games in round 4.
- 2/2 = 1 game as the final championship.
Count the number of times you divide by two and we have five occurrences of this. So there five rounds overall.
To get the total number of games played, we add up the quotients
16+8+4+2+1 = 31
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Or as a shortcut we can simply subtract off 1 since 1+2+4+...+2^n = 2^(n+1)-1
We can write that rule as

which is equivalent to
