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lara31 [8.8K]
3 years ago
13

If 23 people shake each others hands once how many hands are shook in all

Mathematics
1 answer:
AURORKA [14]3 years ago
7 0
This is the number of combinations of 2 from 23
 23C2   = 23! / 2! 21!

A quick way to do this   is  23*22 / 2   =   253
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Which equation is equivalent to 2(3x-5)=5-2(1-x)
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I divided by 3 the parenthesis, and multiplied by 3 the first number, which makes an equivalent equation.

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Part A is asking how long the bridge is and Part B is asking how expensive it would be if each foot it 1500
katrin [286]

Answer:

(a)80 feet

(b)$120,000

Step-by-step explanation:

<u>Part A</u>

<u>Intersecting Secant-Tangent Theorem</u>

If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.

In the attached diagram, the theorem applied is:

|AX|^2=|UX|*|TX|

Comparing with our diagram:

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|UX|=10 feet

Length of the Bridge,L

Therefore:

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L+10=900/10

L+10=90

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Length of the Bridge=80 feet

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Okay. I'll use a formula that my math teacher taught me.

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