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SVETLANKA909090 [29]
3 years ago
13

HELP me this Solve please

Mathematics
1 answer:
Arlecino [84]3 years ago
4 0

Answer:

Cannot solve fir x because traingles are not similar

Step-by-step explanation:

11+8+12=15+10+x

31=25+x

X=31-25

X=6

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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
In a school with 300 students and 15 teachers what is the student - teacher ratio?
DiKsa [7]
It 20:1 
<span>This is a basic math problem which can be solved by simply dividing 300 by 15.</span>

6 0
3 years ago
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Solve for N in the equation: 2(N + 7) = 20 *
Darya [45]

Answer:

the answer is 3

Step-by-step explanation:

N = 3

6 0
3 years ago
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When as asset such as a car, decreases in value over time what is it called?
iren [92.7K]

Answer:

Depreciation

Step-by-step explanation:

Defined as a reduction in the value of an asset with the passage of time, due in particular to wear and tear.

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the ratio of the number of boys to the number of girls in a choir is 6 to 5. there are 45 girls in the choir. how many boys are
GenaCL600 [577]
Boys:girls
6:5
x:45

x = (45/5) x 6
45/5 = 9
9 x 6 = 54
there are 54 boys in the choir
7 0
3 years ago
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