Answer:
use Pythagoras theorem to find hypotenuse in right angle triangle
<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.
Answer:
Step-by-step explanation:
Hello!
We can solve the quadratic by using the quadratic formula.
Standard form of a quadratic: 
Quadratic Formula: 
Given our Equation: 
Plug the values into the equation and solve.
<h3>Solve</h3>
Answer:
b = 40 and -40
Step-by-step explanation:
General form of Perfect square trinomial is a 2 + 2 a b + b 2
Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40
The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .
if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40
The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .
The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .
