All categories

2 years ago

Which polygon is a concave octagon?

Mathematics

2 answers:

Bezzdna [24]2 years ago

8 0

The polygon in option 3 is not octagon at all, it is heptagon (or 7-sided polygon).

A convex octagon has no angles pointing inwards. More precisely, no internal angles can be more than 180°.

When some internal angle is greater than 180°, it is concave.

In option 2 you can see that one angle is pointing inward, then this octagon is concave.

Answer: correct choice is B.

Lena [83]2 years ago

3 0

2nd one. it is concave because one of the side goes inside of the octogon.Its pretty easy tbh. Hope it helped.

You might be interested in

What is the answer beteen 8 and 10 when you divided by a fraction and a whole number

rewona [7]

The answer is 8and 10 when you divided is 0.8

5 0

2 years ago

Given: TSR and QRS are right angles; T ≅ Q

allsm [11]

Answer:

The answer is number (2) ⇒ because of the AAS congruence theorem

Step-by-step explanation:

* Lets use the information to solve the problem

- In the given triangles TSR and QRS

# We have a common side RS or SR

# Two right angles TSR and QRS

# m∠T = m∠Q ⇒ given

* So we have two pairs of angles and one common side, lets

revise the cases of congruence

- SSS ⇒ 3 sides in the 1st Δ ≅ 3 sides in the 2nd Δ

- SAS ⇒ 2 sides and including angle in the 1st Δ ≅ 2 sides and

including angle in the 2nd Δ

- ASA ⇒ 2 angles and the side whose joining them in the 1st Δ

≅ 2 angles and the side whose joining them in the 2nd Δ

- AAS ⇒ 2 angles and one side in the first triangle ≅ 2 angles

and one side in the 2ndΔ

* Now lets read the statements and write the missing

Step 1: m∠TSR = m∠QRS = 90° ⇒ because all right angles are congruent

Step 2: m∠T = m∠Q ⇒ because it is given

Step 3: SR ≅ RS ⇒ because of reflexive property (common side)

Step 4: Δ TSR ≅ ΔQRS ⇒ because of the AAS congruence theorem

* The answer is number (2)

4 0

2 years ago

Read 2 more answers

Please help me I will give you the brain thing and extra points. 2/5

juin [17]

I'm guessing B.)

4 0

3 years ago

Read 2 more answers

HELP PELASE!!!!!!!! THESE ARE DUE SOON and a grade

likoan [24]

Answer: 6,400 Explanation: there is 3200 ounces in one ton so i took that and divided it by 5

3 0

2 years ago

Read 2 more answers

(03.05 MC) Solve the rational equation x divided by 2 equals x squared divided by quantity x minus 2 end quantity, and check for

ycow [4]

Answer:

x = 0 and x = -2 are solutions of the given rational equation.

Step-by-step explanation:

We must solve the following rational equation:

$\frac{x}{2} = \frac{x^{2}}{x-2}$

Now we present the procedure:

1) $\frac{x}{2} = \frac{x^{2}}{x-2}$ Given

2) $x\cdot (x-2) = 2\cdot x^{2}$ Compatibility with multiplication/Existence of the multiplicative inverse/Definition of division/Modulative property.

3) $x^{2}-2\cdot x = 2\cdot x^{2}$ Distributive property/ $a^{b}\cdot a^{c} = a^{b+c}$

4) $x^{2} + 2\cdot x = 0$ Compatibility with addition/Existence of the additive inverse/Modulative property/Reflexive property

5) $x \cdot (x+2) = 0$ Distributive property/ $a^{b}\cdot a^{c} = a^{b+c}$

6) $x = 0\, \lor\, x = -2$ Result

Now we check the rational equation with each root:

x = 0

$\frac{x}{2} = \frac{x^{2}}{x-2}$

$\frac{0}{2} = \frac{0^{2}}{0-2}$

$0 = \frac{0}{-2}$

$0 = 0$

x = 0 is a solution of the rational equation.

x = -2

$\frac{x}{2} = \frac{x^{2}}{x-2}$

$\frac{-2}{2} = \frac{(-2)^{2}}{-2-2}$

$-1 = -1$

x = -2 is a solution of the rational equation.

4 0

3 years ago