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Answer:
g(x)=
Step-by-step explanation:
a reflection of f(x) = 6(1/3)^x across the y-axis
Given f(x)=
When graph of f(x) reflects across y axis then f(x) becomes f(-x)
For reflection across y axis we replace x with -x
f(x)=
f(-x)=
f(-x) is a reflection across the y axis that is our g(x)
So g(x)=
Given:
m∠YXV = 3x + 48
m∠WUX = x + 62
Using the corresponding angle theorem, since X is the midpoint of UV and Y is the midpoint VW, m∠YXV is congruent to m∠WUX.
Thus, we have:
m∠YXV = m∠WUX
3x + 48 = x + 62
Solve for x.
Subtract x from both sides:
3x - x + 48 = x - x + 62
2x + 48 = 62
Subtract 48 from both sides:
2x + 48 - 48 = 62 - 48
2x = 14
Divide both sides by 2:
To find m∠WUX, where x = 7, we have:
m∠WUX = x + 62
= 7 + 62
= 69º
ANSWER:
m∠WUX = 69º