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3 years ago

If n // m, which of the following statements are true? Select all that apply.

Mathematics

2 answers:

Pani-rosa [81]3 years ago

5 0

Answer:

B and C

Step-by-step explanation:

Since m and n are parallel, we can call the two lines extending from the point B transversals.

$m\angle{1} = 60^\circ$ because they are vertical angles

$m\angle{2} = 20^\circ$ from the corresponding angles theorem.

$m\angle{4} = 60^\circ$ from the corresponding angles theorem.

$m\angle{3} = 100^\circ$ because angle 2 and 4 sum to 80, and $m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ$ because it is a straight angle.

From this, we can see which ones are true.

A is false because angle 2 is 20 degrees.

B is true because angle 3 is 100 degrees.

C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.

D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.

Therefore, only B and C are true.

lorasvet [3.4K]3 years ago

4 0

Answer:

A is answer

Step-by-step explanation:

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Which is the value of this expression when p=-2 and q=-1?

saul85 [17]

Answer:

D. 4

Step-by-step explanation:

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8 0

3 years ago

Simplify.

Alexus [3.1K]

Answer:

1/8

Step-by-step explanation:

To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.

We can then rewrite the square root terms as follows:

√3/√8 = √(3) / √(2 * 2 * 2)

Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:

√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)

Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:

√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2

Finally, we can use the rules of division to simplify the expression even further:

√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)

Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:

√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8

Therefore, the simplified form of the expression √3/√8 is 1/8.

6 0

1 year ago

Read 2 more answers

Can someone please tell me the answer on this.

marishachu [46]

Answer: x = 31