Answer:
X=7 ST=11 RT=17
Step-by-step explanation:
RT=RS+ST. RS= 2(7)-8. ST=11
X+10=2x-8+11. =14-8=6. RT= x+10
X+10=2x+3. RS=6. 7+10=17
10=x+3. RT=17
X=7
Difference in the number of miles Nathan flew between the first and second parts of his trip is 980 miles
<em><u>Solution:</u></em>
Given that Nathan flew 3,547 miles from Canada to California during the first part of his trip
He flew 2,567 miles from California to Hawaii during the second part of his trip
Therefore,
first part of his trip = 3547 miles
second part of his trip = 2567 miles
Difference in the number of miles Nathan flew between the first and second parts of his trip is given as:
difference = first part of his trip - second part of his trip
difference = 3547 - 2567 = 980
Therefore, the difference in number is 980 miles
Answer: ∠Z ≅ ∠G and XZ ≅ FG or ∠Z ≅ ∠G and XY ≅ FE are the additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS.
Step-by-step explanation:
Given: ΔXYZ and ΔEFG such that ∠X=∠F
To prove they are congruent by using ASA or AAS conruency criteria
we need only one angle and side.
1. ∠Z ≅ ∠G(angle) and XZ ≅ FG(side)
so we can apply ASA such that ΔXYZ ≅ ΔFEG.
2. ∠Z ≅ ∠G (angle)and ∠Y ≅ ∠E (angle), we need one side which is not present here.∴we can not apply ASA such that ΔXYZ ≅ ΔFEG.
3. XZ ≅ FG (side) and ZY ≅ GE (side), we need one angle which is not present here.∴we can not apply ASA such that ΔXYZ ≅ ΔFEG.
4. XY ≅ EF(side) and ZY ≅ FG(side), not possible.
5. ∠Z ≅ ∠G(angle) and XY ≅ FE(side),so we can apply ASA such that
ΔXYZ ≅ ΔFEG.
Answer:
The function is ![f(x) = 4(\sqrt[3]{16} )^{2x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%204%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2x%7D)
.
Step-by-step explanation:
We have to choose from options the exponential function which has a simplified base of 4∛4 i.e. ∛(256).
Now, the exponential function in the option III will be the answer.
The function is .
So, the base is ![(\sqrt[3]{16} )^{2}](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B16%7D%20%29%5E%7B2%7D)
= ![\sqrt[3]{16^{2}} = \sqrt[3]{256} = 4\sqrt[3]{4}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16%5E%7B2%7D%7D%20%3D%20%5Csqrt%5B3%5D%7B256%7D%20%3D%204%5Csqrt%5B3%5D%7B4%7D)
. (Answer)
The general formula of an exponential function is 
, where b is called the base of the function.
The slope intercept form for this line would be in the form of y=mx+b. The slope is m and the y-intercept is b.
y = (slope)x + (y-intercept)
y = 2x - 3
So, the answer is C.
Hope I could help! Have a good one!
