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2 years ago

Question 7: Help Me Please

Mathematics

2 answers:

ehidna [41]2 years ago

7 0

Answer:

m∠UQT = 52°
m∠UTQ = 42°
x = 1

Step-by-step explanation:

∠UQT is an alternate interior angle of ∠RSQ

Therefore, ∠UQT is 52°

∠UTQ is an alternate interior angle of ∠URS

Therefore, ∠UTQ is 42°

The diagonals of a parallelogram are congruent, so 4x + 1 is 5

4x + 1 = 5
4x = 4
x = 1

-Chetan K

Romashka [77]2 years ago

4 0

QR||TS

QS is the intersector

<UQT=<QSR(Alternative interior angles)=52°

Similarly

<UTQ=<URS=42°

Now

Diagonals of parallelogram bisect eachother

$\\ \rm\Rrightarrow 4x+1=5$

$\\ \rm\Rrightarrow 4x=4$

$\\ \rm\Rrightarrow x=1$

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a) R is reflexive, R is not symmetric, R is not anti-symmetric, R is transitive.

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c) R is not reflexive, R is symmetric, R is not anti-symmetric, R is not transitive.

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(a, b) ∈ R if and only if everyone who has visited Web page a has also visited Web page b.

Obviously R is reflexive (aRa)

Everyone who has visited Web page a has also visited Web page a

R is not symmetric (aRb does not imply bRa)

If everyone who has visited Web page a has also visited Web page b does not mean that everyone who has visited Web page b has also visited Web page a

R is not anti-symmetric (aRb and bRa does not imply a=b)

If everyone who has visited Web page a has also visited Web page b and everyone who has visited Web page b has also visited Web page a does not mean the web pages are the same.

R is transitive (aRb and bRc implies aRc)

If everyone who has visited Web page a has also visited Web page b and everyone who has visited Web page b has also visited Web page c implies that everyone who has visited Web page a has also visited Web page c.

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R is symmetric (aRb implies bRa)

if there are no common links found on both Web page a and Web page b, then there are no common links found on both Web page b and Web page a.

R is not anti-symmetric (aRb and bRa does not imply a=b)

if there are no common links found on both Web page a and Web page b and there are no common links found on both Web page b and Web page a does not mean a and b are the same web page.

R is not transitive (aRb and bRc does not imply aRc)

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If the web page a does not have any link at all, then a is not related to a.

R is symmetric (aRb implies bRa)

if there is at least one common link found on Web page a and Web page b, then there is at least one common link found on Web page b and Web page a.

R is not anti-symmetric (aRb and bRa does not imply a=b)

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