Answer:
20
Step-by-step explanation:
The question tells us that line a is parallel to line b (even if they don't seem to be in the image).
∠8 = ∠4 and ∠5 = ∠1 since line t crosses the parallel lines.
We are given ∠4 = 3x and ∠5 = 6x.
Since we know ∠8 = ∠4 , we can then say
∠8 = 3x and ∠5 = 6x
Since ∠8 and ∠5 are complementary and combined they form a flat angle of 180 degrees, we can say:
3x + 6x = 180
9x = 180
x = 20
X^2 - 5x = -2x
1. Move -2x to the left
x^2 -5x + 2x = 0
2. Collect like terms
x^2 - 3x = 0
3. Factor out
x(x-3) = 0
4. Separate into possible cases
x = 0 or x = 3
Answer:
She will need to work 11 hours
Step-by-step explanation:
She has $88, and the plane ticket is $308. 308 - 88 is 220, 220 divided by 20 is 11.
Answer:
1. ![-40\dfrac{1}{2}](https://tex.z-dn.net/?f=-40%5Cdfrac%7B1%7D%7B2%7D)
2. ![\frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D)
Step-by-step explanation:
1. We are given an expression that is
. We have to find its value for x = - 10
So, ![3\dfrac{4}{5}x-2\dfrac{1}{2}](https://tex.z-dn.net/?f=3%5Cdfrac%7B4%7D%7B5%7Dx-2%5Cdfrac%7B1%7D%7B2%7D)
= ![\frac{19x}{5} -\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B19x%7D%7B5%7D%20-%5Cfrac%7B5%7D%7B2%7D)
=
{Putting the value of x}
= ![-38 - \frac{5}{2}](https://tex.z-dn.net/?f=-38%20-%20%5Cfrac%7B5%7D%7B2%7D)
= ![-\frac{81}{2}](https://tex.z-dn.net/?f=-%5Cfrac%7B81%7D%7B2%7D)
=
(Answer)
2. ![(-\frac{5}{6}) \times (-\frac{5}{8} )\times (\frac{6}{5} )](https://tex.z-dn.net/?f=%28-%5Cfrac%7B5%7D%7B6%7D%29%20%5Ctimes%20%28-%5Cfrac%7B5%7D%7B8%7D%20%29%5Ctimes%20%28%5Cfrac%7B6%7D%7B5%7D%20%29)
= ![\frac{5}{6} \times \frac{5}{8} \times \frac{6}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%20%5Ctimes%20%5Cfrac%7B5%7D%7B8%7D%20%5Ctimes%20%5Cfrac%7B6%7D%7B5%7D)
=
(Answer){Since
}
Answer:
3.37 times
Step-by-step explanation:
Probability of hitting and odd number= 3/5
Probability of hitting and odd number=2/5
Probability of hitting and odd number three times= (3/5)^3
Probability of hitting and odd number three times=(2/5)^3
Now
(3/5)^3 / (2/5)^3 = 3.37
Hence Probability of hitting an odd number three times is 3.37 times more than the probability of hitting an even number three times !