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3 years ago

5

The vanishing point of the picture is represented by point B.

1 answer:

Semenov [28]3 years ago

3 0

A) Angles ABD and CBD are supplementary, so you have ...
∠ABD + ∠CBD = 180°
6.2(∠CBD) + ∠CBD = 180°
7.2(∠CBD) = 180°
∠CBD = 180°/7.2
∠CBD = 25°

B) Angles EBD and CBD are complementary, so you have ...
∠FBE = ∠EBD = 90° - ∠CBD
∠FBE = 90° - 25°
∠FBE = 65°

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Let R be the relation on the set of ordered pairs of positive integers such that ((a, b), (c, d)) ∈ R if and only if ad = bc. Ar

Veseljchak [2.6K]

Answer:

The given relation R is equivalence relation.

Step-by-step explanation:

Given that:

$((a, b), (c, d))\in R$

Where $R$ is the relation on the set of ordered pairs of positive integers.

To prove, a relation R to be equivalence relation we need to prove that the relation is reflexive, symmetric and transitive.

1. First of all, let us check reflexive property:

Reflexive property means:

$\forall a \in A \Rightarrow (a,a) \in R$

Here we need to prove:

$\forall (a, b) \in A \Rightarrow ((a,b), (a,b)) \in R$

As per the given relation:

$((a,b), (a,b) ) \Rightarrow ab =ab$ which is true.

$\therefore$ R is reflexive.

2. Now, let us check symmetric property:

Symmetric property means:

$\forall \{a,b\} \in A\ if\ (a,b) \in R \Rightarrow (b,a) \in R$

Here we need to prove:

$\forall {(a, b),(c,d)} \in A \ if\ ((a,b),(c,d)) \in R \Rightarrow ((c,d),(a,b)) \in R$

As per the given relation:

$((a,b),(c,d)) \in R$ means $ad = bc$

$((c,d),(a,b)) \in R$ means $cb = da\ or\ ad =bc$

Hence true.

$\therefore$ R is symmetric.

3. R to be transitive, we need to prove:

$if ((a,b),(c,d)),((c,d),(e,f)) \in R \Rightarrow ((a,b),(e,f)) \in R$

$((a,b),(c,d)) \in R$ means $ad = cb$ .... (1)

$((c,d), (e,f)) \in R$ means $fc = ed$ ...... (2)

To prove:

To be $((a,b), (e,f)) \in R$ we need to prove: $fa = be$

Multiply (1) with (2):

$adcf = bcde\\\Rightarrow fa = be$

So, R is transitive as well.

Hence proved that R is an equivalence relation.

8 0

3 years ago

Based on the equation, what is the number of new types of plants that will be in the park after 24 years?

Goryan [66]

Yes so this is just waffle and it is hard hope this helps

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3 years ago

-7a-2b cubed+2c when a=-1 b=2 and c=-3

Kaylis [27]

-7(-1) - 2 (2)^3 + 1(-3)
7 - 2(8) -3
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3 years ago

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Find three consecutive off integers such that the difference of the third and second is

eduard

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7 0

2 years ago

Lucy is a dress maker. She sews \dfrac47

Strike441 [17]

Answer:

$\frac{16}{21}$ dresses

Step-by-step explanation:

We are given that

Lucy sews dress in 3/4 hours= $\frac{4}{7}$ of dress

Lucy sews at constant rate.

We have to find the number of dresses sewed by Lucy in hour.

To find number of dress sewed by Lucy in 1 hour we will use unitary method.

By using unitary method

Lucy sews in 3/4 hours= $\frac{4}{7}$ dress

Lucy sews in 1 hour= $\frac{\frac{4}{7}}{\frac{3}{4}}$

Lucy sews in 1 hour= $\frac{4}{7}\times \frac{4}{3}$

Lucy sews in 1 hour= $\frac{16}{21}$ dresses

Hence, Lucy sews $\frac{16}{21}$ dresses in 1 hour.

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3 years ago