What must be the value of x so that lines c and d are parallel lines cut by transversal p?

Mathematics

2 answers:

spin [16.1K]3 years ago

8 0

Check the picture below.

since "y" and 3x+45 are both linear angles, then y + (3x + 45) = 180.

but wait a second!! "y" is a corresponding angle to 81°, so y = 81° then, therefore,

$\bf y+(3x+45)=180\implies 81+(3x+45)=180
\\\\\\
126+3x=180
\implies 
3x=54\implies x=\cfrac{54}{3}\implies x=18$

and that can only happen, if c || d.

UkoKoshka [18]3 years ago

3 0

18 is the correct answer

You might be interested in

2% of the population suffers from the terrible disease conditionitis. The test for conditionitis comes back positive 98% of the

vlabodo [156]

Answer:

8% probability that he or she actually has the disease

Step-by-step explanation:

We use the Bayes Theorem to solve this question.

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

If a randomly chosen person is given the test and the test comes back positive for conditionitis, what is the probability that he or she actually has the disease?

This means that:

Event A: Test comes back positive.

Event B: Having the disease.

Test coming back positive:

2% have the disease(meaning that P(B) = 0.02), and for those, the test comes positive 98% of the time. This means that $P(A|B) = 0.98$