Answer:
Step-by-step explanation:
step 1
Find the value of x
we know that
----> by alternate interior angles
solve for x
Group terms
step 2
Find the measure of angle a
we know that
----> by vertical angles
substitute the value of x
step 3
Find the measure of angle b
we know that
----> by supplementary angles (form a linear pair)
we have
substitute
step 4
Find the measure of angle c
we know that
----> by vertical angles
we have
therefore
step 5
Find the measure of angle d
we know that
----> by corresponding angles
we have
therefore
step 6
Find the measure of angle e
we know that
----> by alternate exterior angles
we have
therefore
step 7
Find the measure of angle f
we know that
----> by vertical angles
we have
therefore
Answer:
C. g(x) = 3·2^x +2
Step-by-step explanation:
The graph of g(x) appears to be a translation upward of the graph of f(x).
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To find the equation of g(x), we can add 5 to f(x), since the translation appears to be 5 units. (The y-intercept of f(x) is 0; the y-intercept of g(x) is 5.)
g(x) = f(x) +5
g(x) = (3·2^x -3) +5
g(x) = 3·2^x +2
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You can also determine the correct choice by looking at the value at x=0:
A. g(0) = 3 +6 = 9
B. g(0) = 1 +3 = 4
C. g(0) = 3 +2 = 5 . . . . matches g(0) on the given graph
D. g(0) = 3
So we know that 3,4 and 5 are pythagorean triplet and these result from a right triangle sides length
- than 3,4 and 5 mean right triangle so 2,5 and 4 mean acute triangle sure or you can prove it in this way too
- than 3^2 +4^2 =5^2 => a right triangle so than
2^2 +4^2 < 5^2 => an acute triangle
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Answer:
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