All categories

2 years ago

In this figure, AB¯¯¯¯¯∥CD¯¯¯¯¯ and m∠3=120°. What is m∠6?

Mathematics

1 answer:

victus00 [196]2 years ago

5 0

Answer:

The m∠6 is 60 °.

Step-by-step explanation:

As given in the figure

AB∥CD and m∠3=120°.

As AB and CD are parallel lines and a transversal line passing through AB and CD .

∠ 3 and ∠6 are same side interior angles .

Now by using the property

When two lines are parallel and tansversal passing through parallel lines than same sides interior angles are supplementary .

Thus

∠3 + ∠6 = 180 °

( m∠3=120° )

120 ° + ∠6 = 180 °

∠6 = 180 ° - 120 °

∠6 = 60 °

Therefore the m∠6 is 60 °.

You might be interested in

The larger of two numbers is 5 less that twice the smaller if their sum is 70, find the numbers

Vikentia [17]

Let the number be x and 2x-5 from the above given condition

x+2x-5=70

3x=75 s0 x=25

Hence, the number are 25 and 45

6 0

3 years ago

Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the land has oil.

oksian1 [2.3K]

Answer:

0.36 = 36% probability that the land has oil and the test predicts it

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

45% chance that the land has oil.

This means that $P(A) = 0.45$

He buys a kit that claims to have an 80% accuracy rate of indicating oil in the soil.

This means that $P(B|A) = 0.8$

What is the probability that the land has oil and the test predicts it?

This is $P(A \cap B)$ . So

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

$P(B \cap A) = P(B|A)*P(A) = 0.8*0.45 = 0.36$

0.36 = 36% probability that the land has oil and the test predicts it

5 0

2 years ago

You are analyzing the survey results tabulated below. The first survey question (yes/no) is whether the respondent is over 40, a

kolbaska11 [484]

Answer:

Step-by-step explanation:

tryin to cheat in workkeys

5 0

3 years ago

Approximately 1.9 million primes of a certain type are reported to the place every year

zhannawk [14.2K]

I suspect that you might mean 'crimes' and 'police'. If that's the case,
then what we have here is a sentence that has not been proofread
for errors, and doesn't ask any question. I'm not going to worry about it.

8 0

2 years ago

What is the probability that a randomly chosen student has either blood group A or blood group B?

balu736 [363]

Answer:

0.70

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers