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Snowcat [4.5K]
3 years ago
15

What is the midpoint of the segment shown below?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
4 0

Answer:

(-9/2,3/2)

Step-by-step explanation:

x coordinate of mid point=(x1+x2)/2

y coordinate of mid point=(y1+y2)/2

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Pls help with this problem
madam [21]

Step-by-step explanation:

every triangle inscribed into a circle with the baseline being a diameter of the circle must be a right-angled triangle.

therefore,

angle XVY = 90°.

for VY we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (the line opposite of the 90° angle, in our case XY).

XY = 2×ZY = 2×17 = 34.

so,

34² = 30² + VY²

VY² = 34² - 30² = 1156 - 900 = 256

VY = 16

6 0
2 years ago
In a group of eighteen people, each person shakes hands once with each other person in the group. How many handshakes will occur
miv72 [106K]

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 = ^{18}C_{2}

^{18}C_{2} = \frac{18!}{(18-2)!2!}

^{18}C_{2} = \frac{18!}{16!2!}

^{18}C_{2} = \frac{18\times17\times16!}{16!\times2!}

^{18}C_{2} = \frac{18\times17}{2\times1}

^{18}C_{2} = \frac{306}{2}

^{18}C_{2} = 153

∴ 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.

Learn more here: brainly.com/question/1991469

5 0
2 years ago
Tim's phone service charges $26.97 plus an additional $0.25 for each text message sent per month. If Tim's phone bill was $33.22
Stels [109]
B. $0.25x+26.97=$33.22
5 0
3 years ago
2.5 ml medication.how many teaspoon should be given
Verdich [7]

5ml=1 teaspoon

2.5ml=1/2 teaspoon

so 2.5ml is equal to half teaspoon

5 0
3 years ago
Find the distance between the lines: x = -7 and x=23
Crank

Answer: 30 (units)

Step-by-step explanation: |-7|+|23|=30

8 0
3 years ago
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