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Nostrana [21]
2 years ago
8

Miss Tamika just started an art class. She had 10 children enrolled for the first class. · Before she began the art lesson, she

told each of the children to shake hands with ! each of the other children and introduce I themselves. Miss Tamika did not include i herself because she had already met each i of the children. How many handshakes were there between all of the children?​

Mathematics
1 answer:
g100num [7]2 years ago
7 0

Answer:

45 Handshakes.

Step-by-step explanation:

10 people shake hands.

So, each person will shake hands with 9 other people.

Total number of handshakes = 90/2 = 45

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Step-by-step explanation:

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3 years ago
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Is the open sentence 3z=2z+5 true or false when z=5?<br><br> A. True<br> B. False
inna [77]
Hey there! 

If z = 5 

we replace "z" with "5" 

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3 years ago
Find the area of this circle. Use 3 for T.<br> A = ar2<br> 1 ft<br> [?] ft2
malfutka [58]
3 ft^2

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4 0
3 years ago
The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

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Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

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4 0
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Sara lost 12 pounds over the summer by jogging each week. By winter time she had gained 4 3/8 pounds. Represent this situation w
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<h3>Represent this situation with an expression involving signed numbers. </h3>

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The situation with an expression involving signed numbers is represented as:

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In (a), we have:

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Change = - 12 + 4 3/8

Evaluate

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