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qwelly [4]
3 years ago
12

Point T is on line segment \overline{SU} SU . Given TU=4x+1,TU=4x+1, SU=8,SU=8, and ST=3x,ST=3x, determine the numerical length

of \overline{TU}. TU .
Mathematics
2 answers:
zysi [14]3 years ago
6 0

Answer:

<h2>5</h2>

Step-by-step explanation:

If point T is on the line SU, then ST+TU = SU. Given  TU=4x+1, SU=8, and ST=3x

Substituting the given values into the expression ST+TU = SU

8 = 3x+4x+1

8 = 7x+1

collect like terms;

7x = 8-1

7x = 7

Divide through by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the expression TU = 4x+1 to get the length of TU

TU = 4(1)+1

TU = 4+1

TU = 5

<em>Hence the length of TU is 5</em>

cricket20 [7]3 years ago
3 0

Answer:

Step-by-step explanation: the answer is 5

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Step-by-step explanation:

Given the Geometric sequences:

1. ___, 24, ___, ___, 3/64

2. ___, 1/4, 1/2, ___

3. 81, ___, ___, ___, ___, 1/3

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The values in the blanks of the given geometric sequences.

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Solving the above equation:

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Considering the third sequence:

a = 81\\ar^5=\dfrac{1}{3}\\\Rightarrow r = 3

Therefore, the sequence is:

81, \underline{27, 9, 3, 1},\dfrac{1}{3}

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