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kolbaska11 [484]
3 years ago
8

MBAC = 22.21° mABC = 137.67° mBCA = 20.12° Classify the triangle by its angles

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
Scalene no angles or sides are the same therefor a scalene triangle. Obtuse Scalene if you want to be precise. <span />
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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
Find a gradient of a line that is parallel and perpendicular to this line with this gradient of -2
yulyashka [42]

a gradient of a line that is parallel and perpendicular to this line with this gradient of -2

Gradient is the slope

So slope of the line =-2

Slope of parallel line is equal to the slope of the line

So slope of parallel line = -2

Slope of perpendicular line is equal to negative reciprocal of slope of the line

We know slope of line = -2

Negative reciprocal = \frac{1}{2}

So , Slope of perpendicular line= \frac{1}{2}

7 0
3 years ago
Please help! i’ll give brainliest! thank u!
Ivenika [448]

Answer:

Negative with little correlation

It has negative slope if you imagine a line

8 0
3 years ago
a value of 500 increases by 12%. Write and equation that could be used to find the new value. What is the new value?
myrzilka [38]
500×12%
(500×12)÷100
6000÷100
=60

so,
500+60=560
7 0
4 years ago
A rectangle has a fun property. The value of its perimeter is equal to the value of its area. The rectangle has a length of 2x f
Reika [66]

Answer:

1) 6\cdot x = 4\cdot x+6, 2) The value of x is 3, 3) The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.

Step-by-step explanation:

Let be a rectangle with a length of 2\cdot x feet and a width of 3 feet. The area (A), measured in square feet, and perimeter (p), measured in feet, formulas are, respectively:

A = (2\cdot x)\cdot (3)

A = 6\cdot x (Eq. 1)

p = 4\cdot x + 6 (Eq. 2)

1) Now, we assume that p = A, then we reduce the system of linear equation into a sole linear equation:

6\cdot x = 4\cdot x+6 (Eq. 3)

2) We proceed to solve for x:

2\cdot x = 6

x = 3

The value of x is 3.

3) Lastly, we obtain the values of the perimeter and area:

A = 6\cdot (3)

A = 18\,ft^{2}

p = 4\cdot (3)+6

p = 18\,ft

The perimeter and the area of the rectangule are 18 feet and 18 square feet, respectively.

3 0
3 years ago
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