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3 years ago

What is the sum of the interior angles of a regular hexagon?

2 answers:

7 0

<span>sum of the interior angles of a polygon = (n - 2) x 180
</span>hexagon has 6 sides , in this case n = 6
so
(6-2) x 180
= 4 x 180
= 720

answer
<span>c. 720</span>

qwelly [4]3 years ago

5 0

Answer:

720

Step-by-step explanation:

done the topic

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( - 37 + 37 ) ÷ - 15 = What is the answerr

Eduardwww [97]

Answer:

Step-by-step explanation:

$~~~(-37+37 )\div(-15)\\\\=0\div (-15)\\\\=0$

5 0

2 years ago

Read 2 more answers

Find a b if a = 4/3 and b = 4/5

Wewaii [24]

Answer: b is 5/4

Step-by-step explanation:

8 0

3 years ago

A quadrilateral has vertices at A(-5,5), B(1,8), C(4,2), and D(-2,-2). Use slope to determine if the quadrilateral is a rectangl

AysviL [449]

Answer:

The quadrilateral is not a rectangle

Step-by-step explanation:

we know that

If a quadrilateral ABCD is a rectangle

then

Opposite sides are congruent and parallel and adjacent sides are perpendicular

Remember that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have

A(-5,5), B(1,8), C(4,2), and D(-2,-2)

Plot the figure to better understand the problem

see the attached figure

Find the slope of the four sides and then compare

step 1

Find slope AB

A(-5,5), B(1,8)

substitute in the formula

$m=\frac{8-5}{1+5}$

$m=\frac{3}{6}$

$m_A_B=\frac{1}{2}$

step 2

Find slope BC

B(1,8), C(4,2)

substitute in the formula

$m=\frac{2-8}{4-1}$

$m=\frac{-6}{3}$

$m_B_C=-2$

step 3

Find slope CD

C(4,2), and D(-2,-2)

substitute in the formula

$m=\frac{-2-2}{-2-4}$

$m=\frac{-4}{-6}$

$m_C_D=\frac{2}{3}$

step 4

Find slope AD

A(-5,5), D(-2,-2)

substitute in the formula

$m=\frac{-2-5}{-2+5}$

$m=\frac{-7}{3}$

$m_A_D=-\frac{7}{3}$

step 5

Verify if the opposites are parallel

Remember that

If two lines are parallel, then their slopes are the same

The opposite sides are

AB and CD

BC and AD

we have

$m_A_B=\frac{1}{2}$

$m_C_D=\frac{2}{3}$

$m_A_B \neq m_C_D$

It is not necessary to continue verifying, because two of the opposite sides are not parallel

therefore

The quadrilateral is not a rectangle

4 0

3 years ago

find the measures of the numbered angles in the rhombus, will give brainliest ! pls show how you solved it :)))

mylen [45]

Answer:

∠1 = 72°

∠2 = 54°

∠3 = 54°

∠4 = 72°

Step-by-step explanation:

In the isosceles triangle in which ∠4 is the top vertex angle and ∠3 & 54° are it's base angles. As it is an isosceles triangle , ∠3 = 54°

Using angle sum property of a triangle ,

∠4 + ∠3 + 54° = 180°

⇒ ∠4 + 54°+ 54° = 180°

⇒ ∠4 = 180° - 108° = 72°

Diagonals of a rhombus bisect the vertex angles of a rhombus. So,

∠2 = ∠3 = 54°

Also , opposite vertex angles of a rhombus are equal, So , ∠1 = ∠4 = 72°

6 0

3 years ago

When solving the following system by elimination, which variable would be eliminated after adding the 2 equations together?

drek231 [11]

Answer:

B. x

Step-by-step explanation:

-3x+8y=-6

3x-2y=-12

if we add these

-3x+3x+8y-2y=-6-12

6y=-12 so x will be eliminated

8 0

3 years ago