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3 years ago

How can you use a pattern to add 20+30+40+50+60+70+80

Mathematics

1 answer:

Usimov [2.4K]3 years ago

8 0

Answer:

$\displaystyle \: \: \: \: 7 \\ \: \: \sum \: (10n + 10) \\ n = 1$

Step-by-step explanation:

You can use Summation Notation as a pattern to evaluating "20 + 30 + 40 + 50 + 60 + 70 + 80":

$\displaystyle \: \: \: \: 7 \\ \: \: \sum \: (10n + 10) \\ n = 1$

I am joyous to assist you anytime.

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The two lines below intersect as shown what the value of x (2x+29) (9x-13)

tensa zangetsu [6.8K]

Given:

Two lines intersect each other.

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.

In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.

$2x+29=9x-13$

$2x-9x=-29-13$

$-7x=-42$

Divide both sides by -7.

$x=\dfrac{-42}{-7}$

$x=6$

Therefore, the value of x is 6.

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3 years ago

Loretta’s income last year was $81,300. She made $56,800 at her salaried job and had additional passive income. If Loretta earne

Mice21 [21]

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3 years ago

What is the equation of the following line written in slope intercept form? (-5,-1)

solmaris [256]

Answer:

$\large\boxed{y=-\dfrac{2}{3}x-\dfrac{13}{3}}$

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points (-5, -1) and (-2, -3).

Look at the picture.

Calculate the slope:

$m=\dfrac{-3-(-1)}{-2-(-5)}=\dfrac{-2}{3}=-\dfrac{2}{3}$

Put it to the equation in slope-intercept form:

$y=-\dfrac{2}{3}x+b$

We can't read the y-intercept from the graph. Therefore put the coordinates of the point (-5, -1) to the equation and calculate b:

$-1=-\dfrac{2}{3}(-5)+b$

$-1=\dfrac{10}{3}+b$ subtract 10/3 from both sides

$-\dfrac{3}{3}-\dfrac{10}{3}=b\to b=-\dfrac{13}{3}$

Finally:

$y=-\dfrac{2}{3}x-\dfrac{13}{3}$

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3 years ago

You downloaded a video game to your computer. You have a 60-minute free trial of the game. It takes 5 minutes to set up the game

Luba_88 [7]

Answer:

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Step-by-step explanation:

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3 years ago

I need the answer for part b

Softa [21]

Answer:

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Step-by-step explanation:

1/4 plus 1/4 plus 2/4 is 4/4

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2 years ago

How can you use a pattern to add 20+30+40+50+60+70+80​

How can you use a pattern to add 20+30+40+50+60+70+80