<span> In a city, 6th and 7th Avenues are parallel and the corner that The Pizza Palace is on is a 54° angle. What is the measure of the angle that is made with 7th Ave and Broadway on the corner of The Shake Hut?
126°</span><span>
</span>
Answer:
x/3 - 3
Step-by-step explanation:
⅓(x - 9)
⅓(x) - ⅓(9)
x/3 - 3
No like terms
Answer:
If Raven's monthly payment were $125, the amount of the loan that she is considering taking out would be less than $43,205.56.
Step-by-step explanation:
If you think about it this way it may be more simple. If the APR stays constant then a greater payment will result in a greater loan. The opposite is also true meaning a lesser payment will result in a lesser loan. If the amount Raven pays is greater than $145 then the loan will be greater than $43,205.56. If the amount she pays is less than $145 then the loan will be less than $43,205.56. Of the options, only one of these situations will be present. In my case, the correct option was a payment of $125 will result in a lesser loan than $43,205.56.
Answer:
(1) TRUE.
(2) FALSE.
(3) FALSE.
(4) TRUE.
(5) FALSE.
Step-by-step explanation:
(1) 

Thus, the equation is TRUE.
(2) 

Thus, the equation is FALSE.
(3) ![4^{\frac{1}{2} } = \sqrt[4]{64}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%20%3D%20%5Csqrt%5B4%5D%7B64%7D)
![4^{\frac{1}{2} }= \sqrt{4} = 2\\\\\sqrt[4]{64} = (64)^{\frac{1}{4} } = (2^6)^{\frac{1}{4} }= 2^{\frac{6}{4} } = 2^{\frac{3}{2} }=(\sqrt{2} )^3 = (\sqrt{2} \times \sqrt{2} \times \sqrt{2} ) = 2\sqrt{2}](https://tex.z-dn.net/?f=4%5E%7B%5Cfrac%7B1%7D%7B2%7D%20%7D%3D%20%5Csqrt%7B4%7D%20%3D%202%5C%5C%5C%5C%5Csqrt%5B4%5D%7B64%7D%20%20%3D%20%2864%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%20%3D%20%282%5E6%29%5E%7B%5Cfrac%7B1%7D%7B4%7D%20%7D%3D%202%5E%7B%5Cfrac%7B6%7D%7B4%7D%20%7D%20%3D%202%5E%7B%5Cfrac%7B3%7D%7B2%7D%20%7D%3D%28%5Csqrt%7B2%7D%20%29%5E3%20%3D%20%28%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%20%5Ctimes%20%5Csqrt%7B2%7D%20%29%20%3D%202%5Csqrt%7B2%7D)
Thus, the equation is FALSE.
(4) ![2^8 = (\sqrt[3]{16} )^6](https://tex.z-dn.net/?f=2%5E8%20%3D%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6)
![2^8 = 256\\\\ (\sqrt[3]{16} )^6 = (16)^{\frac{6}{3} } = (2^4)^{\frac{6}{3} } = (2)^{\frac{24}{3} } = 2^8 = 256](https://tex.z-dn.net/?f=2%5E8%20%3D%20256%5C%5C%5C%5C%20%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E6%20%3D%20%2816%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%5E4%29%5E%7B%5Cfrac%7B6%7D%7B3%7D%20%7D%20%3D%20%282%29%5E%7B%5Cfrac%7B24%7D%7B3%7D%20%7D%20%3D%202%5E8%20%3D%20256)
Thus, the equation is TRUE.
(5) 

Thus, the equation is FALSE.