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4 years ago

In this figure angles p and w are examples of what

Mathematics

1 answer:

Snowcat [4.5K]4 years ago

6 0

Answer:

D. alternate interior angles

Step-by-step explanation:

The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles

So p and w are alternate interior angles

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Mark spent 1 hour 17 minutes less than Sheila reading last week. Sheila spent 55 minutes less than Pete. Pete spent 3 hours read

Jlenok [28]

Mark spend 1 hour 10 minutes in reading.

<h3>What is Unitary Method?</h3>

Unitary method is a process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Mark spent 1 hour 17 minutes less than Sheila

Sheila spent 55 minutes less than Pete.

Pete spent 3 hours reading.

Since, pete spent 3 hours. So, Sheila spent

= 3 hours or (180 minutes) - 55 minutes

= 2 hours 05 minutes.

Now, Mark spent = 2 hrs 05 minutes - 55 minutes

= 1 hour 10 minutes

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ1

3 0

2 years ago

PLS HELP ME ASAP!!!!

elena55 [62]

Answer:

2Pi/8

Step-by-step explanation:

6 0

3 years ago

(4.3 x 10^-3)(2 x 10^-2) in standard form

notka56 [123]

Answer:

8.6•10^-5 or 0.000086

6 0

3 years ago

I must convert a percent into a fraction,the percent is 93%. a.k.a <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B93%7D%7B100%7D

gtnhenbr [62]

First, you put 93 over 100.
Then, you simplify the fraction. But it is in simplified form.
Answer is 93/100.

6 0

3 years ago

How is the series 5+11+17…+251 represented in summation notation?

NISA [10]

Answer:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

Step-by-step explanation:

Given:

Series 5+11+17+...+251

To find:

Summation notation of the given series

Summation Notation:

$\displaystyle \large{\sum_{k=1}^n a_k}$

Where n is the number of terms and $\displaystyle \large{a_k}$ is general term.

First, determine what kind of series it is, there are two main series that everyone should know:

Arithmetic Series

A series that has common difference.

Geometric Series

A series that has common ratio.

If you notice and keep subtracting the next term with previous term:

11-5 = 6
17-11 = 6

Two common difference, we can in fact say that the series is arithmetic one. Since we know the type of series, we have to find the number of terms.

Now that brings us to arithmetic sequence, we know that first term is 5 and last term is 251, we’ll be finding both general term and number of term using arithmetic sequence:

<u>Arithmetic Sequence</u>

$\displaystyle \large{a_n=a_1+(n-1)d}$

Where $\displaystyle \large{a_n}$ is the nth term, $\displaystyle \large{a_1}$ is the first term and $\displaystyle \large{d}$ is the common difference:

So for our general term:

$\displaystyle \large{a_n=5+(n-1)6}\\\displaystyle \large{a_n=5+6n-6}\\\displaystyle \large{a_n=6n-1}$

And for number of terms, substitute $\displaystyle \large{a_n}$ = 251 and solve for n:

$\displaystyle \large{251=6n-1}\\\displaystyle \large{252=6n}\\\displaystyle \large{n=42}$

Now we can convert the series to summation notation as given the formula above, substitute as we get:

$\displaystyle \large{\sum_{n=1}^{42}(6n-1)$

5 0

2 years ago