The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes
In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.
∴ The number of handshakes = 
∴ The number of handshakes = 153 handshakes
Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.
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3.2 x 108 The 8 is suppose to be an exponent of 10
Answer:
9 out of 12 is 75%
Step-by-step explanation:
you would divide 9 by 12, and your answer would be:
1) 0.75 for decimal form
2) 75% for percentage
3) 3/4 for fraction
The correct answer is letter A
To find the value of x, you want to use the vertical angles theorem.
The vertical angles theorem says that all vertical angles (which is what TRY and QRW are) are congruent to each other. Knowing this you can make an equation where the angles are equal to each other to find the value of x.
TRY = QRW, so:
(x+16) = (4x-5)
1. Add 5 to both sides.
(x+21) = (4x)
2. You can get rid of the parentheses.
x+21 = 4x
3. Subtract x from both sides.
21 = 3x
4. Divide both sides by 3, isolating x.
7 = x
5. Flip this equation around, so:
x = 7
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To find the measure of TRY then plug x into the expression for TRY, which is (x+16).
TRY => ((7)+16) = 23
Since TRY is 23, the vertical angles theorem says that QRW is also 23. Add these measures up.
23+23 = 46
A line's measure is 180 degrees, so two lines would add up to 360 degrees. Subtract 46 from 360 to find the remaining degrees.
360-46 = 314
TRQ and YRW must be congruent to each other so that means you can divide 314 by 2.
314/2 = 157
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Answers are:
TRY = 23
TRQ = 157
