Answer:
Matthew gets $18
Step-by-step explanation:
Since Deidra got $12, and they split the $30, Matthew will get $30-$12, or $18. You can also check your answer by finding that 12:18 is in fact a ratio of 2:3 by dividing both sides by 6.
2x/21=12/18
Use cross multiply
2x(18)=21×12
36x=252
Divided 36 for both side
36x/36=252/36
x=7. As a result, x=7 is your final answer. Hope it help!
Answer:
![\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csin%2018%5E%5Ccirc%29%7D%7B75%7D%20%3D%20%5Cfrac%7B%28%5Csin%2035%5E%5Ccirc%29%7D%7Bx%7D)
Step-by-step explanation:
Incomplete question:
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<em>See attachment for complete question</em>
Required
Determine the equation to find x
First, is to complete the angles of the triangle (ABC and ACB)
--- angle on a straight line
![\angle ABC + 53= 180](https://tex.z-dn.net/?f=%5Cangle%20ABC%20%2B%2053%3D%20180)
Collect like terms
![\angle ABC =- 53+ 180](https://tex.z-dn.net/?f=%5Cangle%20ABC%20%3D-%2053%2B%20180)
![\angle ABC =127^\circ](https://tex.z-dn.net/?f=%5Cangle%20ABC%20%3D127%5E%5Ccirc)
--- angles in a triangle
![\angle ACB + 127 + 35 = 180](https://tex.z-dn.net/?f=%5Cangle%20ACB%20%2B%20127%20%2B%2035%20%3D%20180)
Collect like terms
![\angle ACB =- 127 - 35 + 180](https://tex.z-dn.net/?f=%5Cangle%20ACB%20%3D-%20127%20-%2035%20%2B%20180)
![\angle ACB =18](https://tex.z-dn.net/?f=%5Cangle%20ACB%20%3D18)
Apply sine rule
![\frac{\sin A}{a} = \frac{\sin B}{b}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20A%7D%7Ba%7D%20%3D%20%5Cfrac%7B%5Csin%20B%7D%7Bb%7D)
In this case:
![\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20ACB%7D%7BAB%7D%20%3D%20%5Cfrac%7B%5Csin%20CAB%7D%7Bx%7D)
This gives:
![\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Csin%2018%5E%5Ccirc%29%7D%7B75%7D%20%3D%20%5Cfrac%7B%28%5Csin%2035%5E%5Ccirc%29%7D%7Bx%7D)
Hi! When raising a power to a power, you need to multiply the exponents. So that gives us 4^6 - 4^0 Any number raised to the power of 0 is equal to 0. So now we have 4^6 4*4*4*4*4*4 = 4,096. Hope this helps! :-)
Answer:
-3/13
Step-by-step explanation: