Answers + Explanation:
1. x + 7 =10
if you know some number + 7 is 10, you know that number must be 3.
so, x = 3
the other way you can solve this would be:
x + 7 = 10
subtract 7 from both sides of the equation
x + 7 - 7 = 10 - 7
x = 3
2. Use the same strategy:
x - 8 = -5
add 8 to both sides of the equation
x - 8 + 8 = -5 + 8
x = 3
3. x + 3 = 6
subtract 3 from both sides of the equation
x + 3 - 3 = 6 - 3
x = 3
4. x + 6 = 3
subtract 6 from both sides of the equation
x + 6 - 6 = 3 - 6
x = -3
Answer:
The answer to your question is A) they are similar because of AA criterion
Step-by-step explanation:
- ∠ QYP is ≅ to ∠ DNP given
- ∠ QPN is ≅ to ∠ DPN vertical angles
- ∠ YQP is ≅ to ∠ NDP if two angles are congruent third angle
is also congruent.
Conclusion
ΔYPQ is similar to ΔNPD because of AA similarity.
Answer: With 11 pipes, you need 31.82 minutes to fill the tank.
Step-by-step explanation:
Let's define R as the rate at which one single pipe can fill a tank.
We know that 7 of them can fill a tank in 50 minutes, then we have the equation:
7*R*50min = 1 tank
Whit this equation, we can find the value of R:
R = 1 tank/(7*50min) = (1/350) tank/min.
Now that we know the value of R, we can do the same calculation but now with 11 pipes.
Then the time needed to fill the tank, T, is such that:
11*(1/350 tank/min)*T = 1 tank
We need to isolate T.
T = 1 tank/(11*(1/350 tank/min)) = 31.82 min
With 11 pipes, you need 31.82 minutes to fill the tank.
Hope that helps
6.5 x 10^4
Or
65000
The probability of choosing Joey first is 1/12 .
If that happens, the probability of choosing Chloe next is 1/11 .
Then, the probability of choosing Zoe after that is 1/10 .
The probability of all these things happening is
(1/12) x (1/11) x (1/10)
= 1/1320 = 0.00076 = 0.076 percent
