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3 years ago

Cuando un poligono puede ser concavo o convexo

Mathematics

1 answer:

Verdich [7]3 years ago

4 0

Para que un polígono sea convexo, todos sus ángulos interiores deben ser inferiores a 180 grados

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PLSSS HELP IM DESPERATE!!

Lapatulllka [165]

Answer:

graph c

Step-by-step explanation:

Given

| - 2x | = 4

The absolute value function always gives a positive result, however, the expression inside can be positive or negative , that is

- 2x = 4 or - (- 2x) = 4

Solving both

- 2x = 4 ( divide both sides by - 2 )

x = - 2

- (- 2x) = 4

2x = 4 ( divide both sides by 2 )

x = 2

The third graph indicates x = - 2 and x = 2 on the number line

8 0

3 years ago

A salesperson sells $2700 in merchandise and earns a commission of $324

RUDIKE [14]

A salesperson receives 3%

4 0

3 years ago

Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф

asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B) = (A ∩ B) (Addition to zero identity property)

∴ A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅ ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0

3 years ago

Allen is given three lengths of rope: 4 feet, 8 feet, and 15 feet. Can Allen form a triangle with side lengths of 4 feet, 8 feet

Nady [450]

B) No, set of side lengths does not satisfy Triangle Inequality Theorem

5 0

3 years ago

Read 2 more answers

What are the measurements of the little 2 small cube things on each side, better yet what's the surface area? Thank you

Arisa [49]

Answer:

166 units²

Step-by-step explanation:

We know that:

W = 7
L = 5
H = 4

Surface area is the area of the faces of the cuboid.

Work:

=> 2(7 x 4) + 2(5 x 4) + 2(5 x 7)
=> 2(28) + 2(20) + 2(35)
=> 56 + 40 + 70
=> 166 units²

Hence, Option C is correct.

Hoped this helped.

$BrainiacUser1357$

4 0

2 years ago