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3 years ago

What is the sum of the interior angles of the polygon shown below?

Mathematics

2 answers:

WARRIOR [948]3 years ago

5 0

Answer:

n = 5

(n-2) X 180

3 x 180

540 degrees

pls mark as brainliest

GalinKa [24]3 years ago

5 0

Answer:

(for brainliest) (alt acc)

Step-by-step explanation:

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Point C divides AB in a particular ratio. Match point C and the ratio into which C divides AB with the endpoints of AB .

Alexandra [31]

In this problem, there is multiple choice for every question. The trick is to exclude the answer that unlikely true.
To solve this easier, you need to find the distance of AB first. After that try to match the answer coordinate with the midpoint of AB.

1. Answer: Point C(-3.6, -3.4) divides AB in the ratio 2:3
A (-2,-1) and B(-6, -7)The distance between A and B would be:
x= x2-x1 = -6 - (-2)= -4
y= y2-y1 = -7 - (-1)= -6

Since both x and y coordinate of A and B is minus, let's try answer with x and y minus value.
Point C(-3.6, -3.4) divides AB in the ratio 2:3
x3= x1 + AB ratio* AB distance
x3= -2 + (2/2+3)*(-4)= -3.6

y3= y1 + AB ratio* AB distance
y3= -1 + (2/2+3)*(-6)= -1 - 12/5= -3.4

2. Point C(0, 1) divides AB in the ratio 4:7
A(4,-3) and B(-7,8)
The distance between A and B would be:
x= x2-x1 = -7 - (4)= -11
y= y2-y1 = 8 - (-3)= 11

Since both x and y distance is 11, let's try answer with total ratio 11

Point C(0, 1) divides AB in the ratio 4:7
x3= x1 + AB ratio* AB distance
x3= 4 + (4/4+7)*(-11)= 4- 4=0

y3= y1 + AB ratio* AB distance
y3= -3 + (4/4+7)*(11)= -3 +4= 1

3. Answer: Point C(8, 9) divides AB in the ratio 5:3
A(3,4) and B(11,12)The distance between A and B would be:
x= x2-x1 = 11 - (3)= 8
y= y2-y1 = 12 - (4)= 8

Since both x and y distance is 8, let's try answer with the total ratio 8. Both of x and y also plus, so focus on coordinate with both x and y plus too.
Point C(3.5, -2.5) divides AB in the ratio 1:7-----> total ratio 8,y minus
Point C(-2, 5) divides AB in the ratio 2:6  -----> total ratio 8, x minus
Point C(8, 9) divides AB in the ratio 5:3 -----> total ratio 8, both x and y plus
x3= x1 + AB ratio* AB distance
x3= 3 + (5/5+3)*(8)= 3+ 5=8

y3= y1 + AB ratio* AB distance
y3= 4 + (5/5+3)*(8)= 4 +5= 9

4. Point C(-2, 5) divides AB in the ratio 2:6
A(-5,2)and B(7, 14)
The distance between A and B would be:
x= x2-x1 = 7 - (-5)= 12
y= y2-y1 = 14 - (2)= 12

Since both x and y distance is 12, it will be hard to use it since 12 has many factors. Both y coordinate is plus, so focus on coordinate with y more than x and plus.

Point C(4, 1.6) divides AB in the ratio 3:2  -----> x more than y
Point C(-2, 5) divides AB in the ratio 2:6 -------> y plus, y more than xx3= x1 + AB ratio* AB distance
x3= -5 + (2/2+6)*(12)= -5+ 3=-2

y3= y1 + AB ratio* AB distance
y3= 2 + (2/2+6)*(12)= 2 +3= 5

7 0

3 years ago

Read 2 more answers

Evaluate the following: 62 ÷ (5 + 1). (5 points) 4 5 6 7

Temka [501]

Answer:

10.3333333 or 10 1/3

Step-by-step explanation:

first you add the parentheses and the divide 62 by the sum of the parentheses, which is 6 creating the equation 62 ÷ 6. This equation results in 10.3333333 or 10 1/3

5 0

3 years ago

Elvaluate 3^-2 jgigjdkcjcivkxjgfnv

BARSIC [14]

Answer:

1/9

Step-by-step explanation:

when you have a negative exponent, you move the term to the denominator: 1/3^2

then you just do 3^2: 1/9

4 0

4 years ago

Please help!!!!!!!!!!!!!

Ira Lisetskai [31]

Answer:

Step-by-step explanation:

4 z ^3 √ y / x ^2 y

7 0

3 years ago

Plot the zeros of the function and select the correct end behavior of function's graph.

dem82 [27]

Answer:
As x approaches negative infinity, f (x) approached negative infinity

Explanation:
The graph of the given function is shown in the attached image.

Let's check the options given:
Option 1:
As x approaches positive infinity, f(x) approaches negative infinity.
This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity

Option 2:
As x approaches negative infinity. f(x) approaches negative infinity.
This option is correct as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity

Option 3:
As x approaches negative infinity, f(x) approaches positive infinity.
This option is incorrect as we can note that as the value of x decreases approaching negative infinity, the value of f (x) also decreases approaching negative infinity

Option 4:
As x approaches positive infinity, f(x) remains constant.
This option is incorrect as we can note that as the value of x increases approaching positive infinity, the value of f (x) also increases approaching positive infinity

Hope this helps :)

3 0

3 years ago

Read 2 more answers