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3 years ago

Maria drew two parallel lines KL and MN intersected by a transversal PQ, as shown below:

Mathematics

2 answers:

Mice21 [21]3 years ago

8 0

Answer:

Option b is correct.

Step-by-step explanation:

Given that Maria drew two parallel lines KL and MN intersected by a transversal PQ,

Two parallel lines KL and MN with PQ as a transversal intersecting KL at point R and MN at point S as shown in attachment.

we have to find which theorem could Maria use to show the measure of ∠KRQ is equal to the measure of ∠PSN

The two angles ∠KRQ and ∠PSN are the interior angles but on the different sides of transversal i.e these are alternate interior angles.

Hence, Alternate Interior Angles Theorem could Maria use to show the measure of angle KRQ is equal to the measure of angle PSN.

Correct Option is b.

Bumek [7]3 years ago

7 0

I just took the quiz and got a 100. It is Alternate Interior Angles.

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This question says “use the given conditions to write an equation for the line in point-slope form and in slope intercept form”.

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

y = -4x + 5.....slope here is -4. A parallel line will have the same slope.

y = mx + b

slope(m) = -4

(-6,-2)....x = -6 and y = -2

now we sub and find b, the y intercept

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so ur equation is : y = -4x - 26 <====

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3 years ago

Read 2 more answers

Cual es el resultado?

evablogger [386]

Es la b 1DM 5c 6d 0U

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2 years ago

Which two expressions are equivalent?

MariettaO [177]

Answer:

First option

Step-by-step explanation:

The result of first expression:

7(6+z) multiply 7 with inside the parenthesis

7(6+z) = 42 + 7z

the result of second expression:

since we need to do multiplying first,

7*6 = 42 and 7*z = 7z

then we add them

42 + 7z this is the same result we found for the first equation

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2 years ago

A huge Ping-Pong tournament is held in Beijing with 65,536 participants at the start of the tournament. Each round of

lisabon 2012 [21]

Answer:

After 16 rounds the champion of Ping-Pong player can be determined.

Step-by-step explanation:

This is an example of geometric progression,

First term = 65,536

$\texttt{Common ratio = }\frac{1}{2}$

Now we need to find which term is 1 in this GP.

N th term of GP is given by

$t_n=ar^{n-1}$

Substituting

$1=65536\times \left ( \frac{1}{2}\right )^{n-1}\\\\\frac{1}{65536}=\left ( \frac{1}{2}\right )^{n-1}\\\\2^{n-1}=65536\\\\2^{n-1}=2^{16}\\\\n=17$

Seventeenth term of this GP is 1.

That is after 16 rounds the champion of Ping-Pong player can be determined.

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3 years ago

Estimate a 15% tip on a dinner bill of 79.45 by first rounding the bill amount to the nearest ten dollars.

suter [353]

Answer: 12$

Step-by-step explanation:

We need to round 79.45 to the nearest 10 dollars, which is 80.

We can then get 15% of it easily since its a whole number by adding 10% (8) and 5% (4) to get an estimate of around 12 dollars.

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2 years ago