Answer:
5/7 miles
Step-by-step explanation:
Gina travels a distance of 7 miles to reach home. The bus ride covers 5 Given data
Total distance traveled = 7 miles
Bus ride= 5 miles
Walk= 2 miles
Hence the fraction of miles traveled by bus is
=5/7 miles
From the picture we can see that angles Z and X are the same because they are oposite angles of parallelogram and rule for it is that oposite angles are the same.
so we can write that equations for determining their size are the same
7x + 61 = 9x + 47
Now we just solve for x.
2x = 14
x = 7
If we implement this in formula for Z we find:
Z = 7*7 + 61 = 110
we implement value of x in the lenght of WY as well
WY = 84 - x = 84 - 7 = 77
Answer is C
Answer:
0.9375 pages per minute
Step-by-step explanation:
(3/8)/(2/5) = 0.9375
Answer:
Both a = −4 and a = −1 are true solutions
Step-by-step explanation:
Given
![\sqrt{a + 5} = a + 3](https://tex.z-dn.net/?f=%5Csqrt%7Ba%20%2B%205%7D%20%3D%20a%20%2B%203)
![a = -4; a = -1](https://tex.z-dn.net/?f=a%20%3D%20-4%3B%20a%20%3D%20-1)
Required
The true statement about the solutions
We have:
![\sqrt{a + 5} = a + 3](https://tex.z-dn.net/?f=%5Csqrt%7Ba%20%2B%205%7D%20%3D%20a%20%2B%203)
Square both sides
![a + 5 = (a + 3)^2](https://tex.z-dn.net/?f=a%20%2B%205%20%3D%20%28a%20%2B%203%29%5E2)
![a + 5 =a^2 + 6a + 9](https://tex.z-dn.net/?f=a%20%2B%205%20%3Da%5E2%20%2B%206a%20%2B%209)
Collect like terms
![a^2 + 6a - a + 9 - 5 = 0](https://tex.z-dn.net/?f=a%5E2%20%2B%206a%20-%20a%20%2B%209%20-%205%20%3D%200)
![a^2 + 5a + 4 = 0](https://tex.z-dn.net/?f=a%5E2%20%2B%205a%20%2B%204%20%3D%200)
Expand
![a^2 + 4a + a + 4 = 0](https://tex.z-dn.net/?f=a%5E2%20%2B%204a%20%2B%20a%20%2B%204%20%3D%200)
Factorize
![a(a + 4) + 1(a + 4) = 0](https://tex.z-dn.net/?f=a%28a%20%2B%204%29%20%2B%201%28a%20%2B%204%29%20%3D%200)
Factor out a + 4
![(a + 1)(a + 4) = 0](https://tex.z-dn.net/?f=%28a%20%2B%201%29%28a%20%2B%204%29%20%3D%200)
Split:
![a + 1 = 0; a + 4 = 0](https://tex.z-dn.net/?f=a%20%2B%201%20%3D%200%3B%20a%20%2B%204%20%3D%200)
Solve:
![a =-1; a = -4](https://tex.z-dn.net/?f=a%20%3D-1%3B%20a%20%3D%20-4)