Answer: 77°
Step-by-step explanation:
First we are going to find x and then insert it in 18x +5 to be able to get our <WZX
But to find x, we will have to apply the the exterior angle theorem
The exterior angle theorem state that : the exterior angle is equal to the sum of the two opposite interior anges
Using this theorem, then from the diagram above ;
18x + 5 = 48 + 8x - 3
we collect like term
18x - 8x = 48-3-5
10x = 40
Divide bothside by 10
10x/10 = 40/10
x = 4
but <WZX = 18x + 5
Then we substitute x=4
<WZX = 18(4) + 5
<WZX = 72 +5
<WZX =77
Therefore the measure of <WZX is 77°
29.99 + 35.00 + 3.25 + 3.25 = 71.49
125.00 - 71.49 = 53.51
53.51 ÷ 22.50 = 2.4 = 2
She can buy 2 pairs of shoes.
Hope this helps!!
~Kiwi
Answer:
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Step-by-step explanation:
![\dfrac{d-e}{3d+e}=e\\\\\dfrac{d-e}{3d+e}=\dfrac{e}{1}\qquad\text{cross multiply}\\\\(1)(d-e)=(e)(3d+e)\qquad\text{use the distributive property}\\\\d-e=3de+e^2\qquad\text{add}\ e\ \text{to both sides}\\\\d=3de+e+e^2\qquad\text{subtract}\ 3de\ \text{from both sides}\\\\d-3de=e^2+e\qquad\text{distribute}\\\\d(1-3e)=e^2+e\qquad\text{divide both sides by}\ (1-3e)\\\\d=\dfrac{e^2+e}{1-3e}](https://tex.z-dn.net/?f=%5Cdfrac%7Bd-e%7D%7B3d%2Be%7D%3De%5C%5C%5C%5C%5Cdfrac%7Bd-e%7D%7B3d%2Be%7D%3D%5Cdfrac%7Be%7D%7B1%7D%5Cqquad%5Ctext%7Bcross%20multiply%7D%5C%5C%5C%5C%281%29%28d-e%29%3D%28e%29%283d%2Be%29%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5Cd-e%3D3de%2Be%5E2%5Cqquad%5Ctext%7Badd%7D%5C%20e%5C%20%5Ctext%7Bto%20both%20sides%7D%5C%5C%5C%5Cd%3D3de%2Be%2Be%5E2%5Cqquad%5Ctext%7Bsubtract%7D%5C%203de%5C%20%5Ctext%7Bfrom%20both%20sides%7D%5C%5C%5C%5Cd-3de%3De%5E2%2Be%5Cqquad%5Ctext%7Bdistribute%7D%5C%5C%5C%5Cd%281-3e%29%3De%5E2%2Be%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%7D%5C%20%281-3e%29%5C%5C%5C%5Cd%3D%5Cdfrac%7Be%5E2%2Be%7D%7B1-3e%7D)
The answer is C, you can solve this by sin(30)= 8/c since sine is opposite over hypotenuse and since c equals 16 there is only one possible solution
The value is .54 hope this helped