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3 years ago

Irregular polygon with six sides; not all diagonals are contained within the polygon.

Mathematics

2 answers:

Gelneren [198K]3 years ago

4 0

Answer: concave hexagon

Step-by-step explanation:

Concave polygons have diagonals that are outside of the polygon. In a convex polygon, all the diagonals are inside, so we know it can’t be convex.

Hexagons have six sides, while pentagons have five sides, so it must be a hexagon.

So, concave hexagon is correct or choice 3

RoseWind [281]3 years ago

4 0

Answer:

concave hexagon

Step-by-step explanation:

First off, from the problem, we see that this polygon has six sides. Any type of polygon with 6 sides, regardless its classification, is called a "hexagon" of some form. So, eliminate all the answer choices that do not include the word "hexagon".

We're now left with "convex hexagon" and "concave hexagon". We need to define these terms. "Convex" polygons have all their vertices pointing away from the interior, while "concave" polygons have at least one vertex pointing inwards toward the center of the shape.

If concave polygons have some vertices inside the polygon, then when connecting vertices to each other (these segments are called "diagonals"), the diagonals will not necessarily be contained within the polygon. Looking back at the problem, we see that this describes what we want.

Thus, the answer is "concave hexagon".

Hope this helps!

You might be interested in

(23/5) divided (-33/4)

Romashka [77]

Step-by-step explanation:

(23/5)÷(-33/4)

multiply the first by the second reverse

23/5×4/-33

multiply the numerator between them and the denomination between them

92/-165

-0.558

5 0

3 years ago

WILL MARK BRAINLIEST!!! NEED THIS ASAP!!

DiKsa [7]

Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using Pythagoras theorem to solve this problem. This is as this problem forms a right-angle triangle. Pythagoras theorem is the following:

a^2 + b^2 = c^2

Where c = hypotenuse of right-angle triangle

Where a and b = other two sides of right-angle triangle

To begin with, we will substitute the values from the problem into the equation. Then we will make the height of the tree the subject of the equation.

a = height of tree = ?

b = distance from the bird on the ground to the base of the tree = 8 metres

c = distance bird travelled from the ground to the top of the tree = 9 metres

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 = 9^2 - 8^2

a = square root of ( 9^2 - 8^2 )

a = square root of ( 81 - 64 )

a = square root of ( 17 )

a = 4.123...

a = 4.1 ( rounded to the nearest tenth )

FINAL ANSWER:

Therefore, the height of the tree is 4.1 metres ( rounded to the nearest tenth ).

Hope this helps! :)
Have a lovely day! <3

3 0

3 years ago

Ramon is a parking lot attendant. He estimates that 30% of the cars in the lot are sedans, 10% are minivans, and 20% are SUVs. H

trasher [3.6K]

Answer: B. Did on a p e x

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Jennifer makes 1.7 liters of lemonade. If she pours 3 tenths of the lemonade in a glass, how many liters of lemonade are in the

Akimi4 [234]

Answer:

0.51 liters in the glass

Step-by-step explanation:

Given

$Litres = 1.7L$

$Pour= \frac{3}{10}th$

Required

Determine how many liters in the glass

To do this, we simply multiply the fraction poured by the total.

So, we have:

$Poured = \frac{3}{10} * 1.7$

$Poured = \frac{3* 1.7}{10}$

$Poured = \frac{5.1}{10}$

$Poured = 0.51$

There will be 0.51 liters in the glass

8 0

3 years ago

The ratio of Wei Ling's age to Wei Xuan's age 5 years ago was 2: 5. In 9 years

Archy [21]

Answer:

15 years old

Step-by-step explanation:

Start by defining the variables that we are going to use throughout our working:

Let the current age of Wei Ling and Wei Xuan be L and X years old respectively.

Next, form equations using the given information.

5 years ago

Wei Ling: (L -5) years old

Wei Xuan: (X -5) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan's is 2: 5,

$\frac{ L - 5}{X - 5} = \frac{2}{5}$

Cross multiply:

2(X -5)= 5(L -5)

Expand:

2X -10= 5L -25

2X= 5L -25 +10

2X= 5L -15 -----(1)

9 years time

Wei Ling: (L +9) years old

Wei Xuan: (X +9) years old

Given that the ratio of Wei Ling's age to that of Wei Xuan is 3: 4,

$\frac{L + 9}{X + 9} = \frac{3}{4}$

Cross multiply:

3(X +9)= 4(L +9)

Expand:

3X +27= 4L +36

3X= 4L +36 -27

3X= 4L +9 -----(2)

Let's solve using the elimination method.

(1) ×3:

6X= 15L -45 -----(3)

(2) ×2:

6X= 8L +18 -----(4)

(3) -(4):

6X -6X= 15L -45 -(8L +18)

0= 15L -45 -8L -18

0= 7L -63

7L= 63

L= 63 ÷7

L= 9

Substitute L= 9 into (1):

2X= 5(9) -15

2X= 45 -15

2X= 30

X= 30 ÷2

X= 15

Thus, Wei Xuan is 15 years old now.

6 0

2 years ago