The equation that has the same solution as
is: C.![64 = 2^{(3x - 6)}](https://tex.z-dn.net/?f=64%20%3D%202%5E%7B%283x%20-%206%29%7D)
<h3>How to Solve Equations having Exponents</h3>
- To solve such, simplify the bases so that the base on the right equals the base on the left.
- Then solve the equation for the variable.
Given:
![5^{(2x-5)} = 125\\\\5^{(2x-5)} = 5^3\\](https://tex.z-dn.net/?f=5%5E%7B%282x-5%29%7D%20%3D%20125%5C%5C%5C%5C5%5E%7B%282x-5%29%7D%20%3D%205%5E3%5C%5C)
- The bases will cancel out
2x - 5 = 3
2x = 3 + 5
2x = 8
x = 4
The solution of
is 4.
Thus:
![64 = 2^{(3x - 6)}\\\\2^6 = 2^{(3x - 6)}\\\\6 = 3x - 6\\6 + 6 = 3x\\12 = 3x\\4 = x\\x = 4](https://tex.z-dn.net/?f=64%20%3D%202%5E%7B%283x%20-%206%29%7D%5C%5C%5C%5C2%5E6%20%3D%202%5E%7B%283x%20-%206%29%7D%5C%5C%5C%5C6%20%3D%203x%20-%206%5C%5C6%20%2B%206%20%3D%203x%5C%5C12%20%3D%203x%5C%5C4%20%3D%20x%5C%5Cx%20%3D%204)
Therefore the equation that has the same solution as
is: C.![64 = 2^{(3x - 6)}](https://tex.z-dn.net/?f=64%20%3D%202%5E%7B%283x%20-%206%29%7D)
Learn more about equations with exponents on:
brainly.com/question/11832081
So the answer to this is C, cause I did an image
x=4, because 10+(4*2)=10+8=18 and since it is a rectangle the sides are the same.
Answer:
120, 114, 126
Step-by-step explanation:
Since these are all exterior angles, they will all always add up to 360°. Since we know this, you can set up an equation and it would be x+(x+6)+114=360. When added you get 2x+120=360. Now subtract 120 on each side to get 2x equals 240. Then you divide by 2 and get that x is 120. Now all you have to do is plug x into the equations for the angles so they would be 120, 114, and 120+6 so 126. Now you have 120,114,and 126 as your angles. To check, just add all the angle measurements up and it should equal 360.
Answer:
A.) (-1,-6) and (-3,-2)
Step-by-step explanation:
The given line segment has coordinates
(-1,6) and (-3,2)
The mapping for a reflection in the x-axis is
![(x,y)\to (x,-y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Cto%20%28x%2C-y%29)
This implies that;
![(-1,6)\to (-1,-6)](https://tex.z-dn.net/?f=%28-1%2C6%29%5Cto%20%28-1%2C-6%29)
and
![(-3,2)\to (-3,-2)](https://tex.z-dn.net/?f=%28-3%2C2%29%5Cto%20%28-3%2C-2%29)
The correct choice is A.