Answer:
x = 3
Step-by-step explanation:
Angle S and Angle T are consecutive interior angles. Therefore, we know that T + S = 180°.
First, we need to solve for T, and since angles S and T are consecutive interior angles, we know that T + S = 180°. If we reorganize the equation to include the things we know (S = 105°), then we get 180° - 105° = 75°. So T is 75°.
Now, we use T = 75° and the information given to us in the picture to set up an equation. 75 = 24x + 3. Now, we can find x by isolating it. Do this by:
1) Subtracting 3 from both sides to give you 72 = 24x. We do this to get rid of the 3 from the "x side", but we must also do it to the other to keep the equation true. This moves the 3 from the "x side" to the other since we're trying to isolate x.
2) Divide 24 by both sides to get 3 = x. We use the same logic as we did for 3, except this time we divide since that's the opposite of multiplying.
In conclusion, x = 3.
Answer:
Step-by-step explanation:
A dollar is 100 cents
3/8 = .375
0.375 * 100 = 37.5
Rounded it is 38 cents.
5/6 is 1/6 more than 4/6. All you had to do is subtract 4/6 from 5/6 to get <u><em>1/6</em></u>.
![\left( \dfrac 1 {64} \right)^{- 5/6} =64^{5/6} = (\sqrt[6]{64})^5 = 2^5 =32](https://tex.z-dn.net/?f=%20%5Cleft%28%20%5Cdfrac%201%20%7B64%7D%20%5Cright%29%5E%7B-%205%2F6%7D%20%3D64%5E%7B5%2F6%7D%20%3D%20%28%5Csqrt%5B6%5D%7B64%7D%29%5E5%20%3D%202%5E5%20%3D32)
TRUE
![\sqrt[5]{36^4}=36^{4/5}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B36%5E4%7D%3D36%5E%7B4%2F5%7D)
which surely isn't 36. FALSE
FALSE
For the fourth one we have a
which isnt
so this is FALSE.
No fractions in that one so FALSE.
