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3 years ago

The relationship and how to Figure it out

Mathematics

1 answer:

sammy [17]3 years ago

6 0

The pair of angles would be corresponding angles, as they correspond to each other, meaning they occupy the same side of the transversal and at the same time, "face" the same side. Since corresponding angles are equal, we have to solve for x using isolation.

$18x+4=130\\ 18x+4-4=130-4\\ 18x=126\\ \frac{18x}{18} =\frac{126}{18} \\ x=7$

In that case, x is equal to 7.

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Directions : Factor each of the following Differences of two squares and write your answer together with solution

N76 [4]

$\huge \boxed{\mathfrak{Question} \downarrow}$

Factor each of the following differences of two squares and write your answer together with solution.

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf \: x ^ { 2 } - 36$

Rewrite $\sf\:x^{2}-36 as x^{2}-6^{2}$ . The difference of squares can be factored using the rule: $\sf\: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(x-6\right)\left(x+6\right) }}$

__________________

$\sf \: 49 - x ^ { 2 }$

Rewrite 49-x² as 7²-x². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf \: \left(7-x\right)\left(7+x\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-x+7\right)\left(x+7\right) }}$

__________________

$\sf \: 81 - c ^ { 2 }$

Rewrite 81-c²as 9²-c². The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\sf\left(9-c\right)\left(9+c\right)$

Reorder the terms.

$\boxed{ \boxed{ \bf\left(-c+9\right)\left(c+9\right) }}$

__________________

$\sf \: m ^ { 2 } n ^ { 2 } - 1$

Rewrite m²n² - 1 as $\sf\left(mn\right)^{2}-1^{2}$ . The difference of squares can be factored using the rule: $\sf\:a^{2}-b^{2}=\left(a-b\right)\left(a+b\right)$ .

$\boxed{ \boxed{ \bf\left(mn-1\right)\left(mn+1\right) }}$

4 0

3 years ago

Read 2 more answers

a box half full of apples weighs 40kg and the same box one fifth full weighs 22kg. what does the box weigh when empty?

likoan [24]

So in order to answer your question we calculate 40 - 22 wich gives us the answer of 18, so now we can say that 4/5 of apples weight 18 so now 18 / 4 = 4,5; 4,5 * 5 = 22,5 wich is the weight of apples you can put in the box, to know the answer we deduct the greatest weight of apples only from the weight of the box with those apples so, 40 - 22,5 = 17,5
so the answer to your question is 17,5
i hope i helped you

6 0

3 years ago

I need help ill do anything

alexgriva [62]

Answer:

A n y t h i n g y o u s a y ?

The answer is J. 42

Could I be Brainliest pls...?

Even if I'm not Brainliest, have a lovely day! <3

5 0

3 years ago

Is this alternate interior or alternate exterior? Pls help will mark brainliest

DiKsa [7]

Answer:

It's alternate exterior

Step-by-step explanation:

Interior:means its on the inside

Exterior:means on the outside

3 0

3 years ago

1. The variable y varies inversely with x and y = 6 when x = 3.

Y_Kistochka [10]

Inverse variation means y=k/x, we are given (3,6) so

6=k/3

k=18 so

y=18/x

y=18/27

y=2/3

7 0

3 years ago