Answer:
oh dang.. imma head out, no big brain time for me..
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
Angle 1 and the angle opposite from Angle 1 (the angle that's 68°) are vertical angles.
What are vertical angles, you ask?
According to the Oxford dictionary, vertical angles are each of the pairs of opposite angles made by two intersecting lines.
For example, take the letter X. The letter X has two lines that intersect to form 4 angles. The top and bottom angles are a pair of vertical angles. So are the left and right angles.
Vertical angles are always congruent.
(This is VERY important to know! It will help you solve many types of geometry problems!)
m1 is 3x - 7. Because Angle 1 and the angle that's 68° are vertical angles, that means they are equal to each other.
Therefore: 3x - 7 = 68.
Now, you can solve for x to get x = 25.
Hope this helps!
Using translation concepts, the equation for function g(x) given in the graph is:
![g(x) = 2^{x + 2}](https://tex.z-dn.net/?f=g%28x%29%20%3D%202%5E%7Bx%20%2B%202%7D)
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent function for this problem is given as follows:
![f(x) = 2^x](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%5Ex)
From the graph, function g(x) was shifted 2 units left, hence x -> x + 2 and the definition is:
![g(x) = 2^{x + 2}](https://tex.z-dn.net/?f=g%28x%29%20%3D%202%5E%7Bx%20%2B%202%7D)
More can be learned about translation concepts at brainly.com/question/28098112
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