<h3>
Answers:</h3>
- ST = 23
- RU = 8
- SV = 5
- SU = 10
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Explanation:
Focus on triangles SVT and UVT.
They are congruent triangles due to the fact that SV = VU and VT = VT. From there we can use the LL (leg leg) theorem for right triangles to prove them congruent.
Since the triangles are the same, just mirrored, this means ST = UT = 23.
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Following similar reasoning as the previous section, we can prove triangle RVU = triangle RVS.
Therefore, RS = RU = 8
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SV = VU = 5 because RT bisects SU.
Bisect means to cut in half. The two smaller pieces are equal.
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SU = SV + VU = 5+5 = 10
Refer to the segment addition postulate.
Let Tory’s sister age = x
Since Tory is 3 years older than her sister ,
Tory = (x + 3)
let Quentin’s brother age = x
( because quentin’s brother & tory’s sister are the same age , we can let both their ages be x )
Since Quentin is 8 years less than twice his brother’s age ,
Quentin = (2x -8)
Since Quentin and Tory are the same age ,
x + 3 = 2x - 8
-x = -8-3
x = 11
Ans : 11 years old :)
I’m so sorry if this is incorrect
Simply divide 153 by 765 to get the percent. This equals .2
ANSWER 20%
<span>The correct option is: A. f(x) = 4sin(x − π/2), because:
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1. When you evaluate x=π/2 in the function f(x) = 4sin(x − π/<span>2), you obtain:
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f(π/2) = 4sin(π/2− π/2)
f(π/2) = 4sin(0)
f(π/2) = 4(0)
f(π/2) = 0 (As you can see in the graphic)
2. If you evaluate x=π in the same function, then you have:
f(π) = 4sin(π− π/2)
f(π) = 4sin(π/2)
f(π) = 4 (As it is shown in the graphic)
