Answer:
Given the graph
and 
We have to find the value of k;
Since, g(x) = f(x) +k

Subtract
from both sides we get;

Add 2 to both sides we get;

Simplify:

or
k = 5
Therefore, the value of k = 5
Answers:
x = 6
y = 6*sqrt(2)
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Explanation:
To find these values, you can use the general template of a 45-45-90 triangle or you can use trig ratios
tan(45) = 1
tan(angle) = opposite/adjacent
tan(45) = x/6
1 = x/6
6*1 = x
x = 6
-------
sin(45) = 1/sqrt(2)
sin(angle) = opposite/hypotenuse
sin(45) = 6/y
1/sqrt(2) = 6/y
1*y = sqrt(2)*6
y = 6*sqrt(2)
Answer:
Step-by-step explanation: <_>
The angles are 121 and 59 degrees, respectively
<h3>How to determine the angles?</h3>
The given parameters are:
FGH = 11x
HGJ = 6x - 7
Linear pair angles add up to 180.
So, we have:
11x + 6x - 7 = 180
Evaluate the like terms
17x = 187
Divide both sides by 17
x = 11
Substitute x = 11 in FGH = 11x and HGJ = 6x - 7
FGH = 11 * 11=121
HGJ = 6 * 11 - 7 = 59
Hence, the angles are 121 and 59 degrees, respectively
Read more about linear pairs at
brainly.com/question/2065148
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