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2 years ago

Select all the pairs that represent consecutive interior (or same-side interior) angles.

Mathematics

1 answer:

DedPeter [7]2 years ago

3 0

Answer:

angle 4 and angle 8

angle 3 and angle 5

Step-by-step explanation: the pair of angles on one side of the transversal and inside the two lines are called the consecutive interior angles

so, angle 4 and angle 8

and angle 3 and angle 5

are consecutive interior angles.

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Simplify (12a5−6a−10a3)−(10a−2a5−14a4) . Write the answer in standard form

almond37 [142]

Answer:

$=14a^5+14a^4-10a^3-16a$

Step-by-step explanation:

$\left(12a^5-6a-10a^3\right)-\left(10a-2a^5-14a^4\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=12a^5-6a-10a^3-\left(10a-2a^5-14a^4\right)\\-\left(10a-2a^5-14a^4\right):\quad -10a+2a^5+14a^4\\-\left(10a-2a^5-14a^4\right)\\\mathrm{Distribute\:parentheses}\\=-\left(10a\right)-\left(-2a^5\right)-\left(-14a^4\right)\\Apply\:minus-plus\:rules\\-\left(-a\right)=a,\:\:\:-\left(a\right)=-a\\=-10a+2a^5+14a^4\\=12a^5-6a-10a^3-10a+2a^5+14a^4$

$\mathrm{Simplify}\:12a^5-6a-10a^3-10a+2a^5+14a^4:\quad 14a^5+14a^4-10a^3-16a12a^5-6a-10a^3-10a+2a^5+14a^4\\Group\:like\:terms\\=12a^5+2a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:12a^5+2a^5=14a^5\\=14a^5+14a^4-10a^3-6a-10a\\\mathrm{Add\:similar\:elements:}\:-6a-10a=-16a\\=14a^5+14a^4-10a^3-16a$

4 0

3 years ago

What is the value of 7

maw [93]

7 can be written as :-

7 + 0 = 7

7 - 0 = 7

7 × 1 = 7

7 ÷ 1 = 7

7¹ = 7

_____

Hope it helps ⚜

8 0

2 years ago

Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou

Bond [772]

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

5 0

3 years ago

Can a triangle be formed with the side lengths of 2.9 in, 4.8 in, and 7.4 in?

ddd [48]

Answer: Yes

Step-by-step explanation: A triangle can be formed because A+B>C

A and B are 2.9 and 4.8

Since those numbers have the least value

I added both and found that A and B are equal to 7.7

7.7>7.4

These sides could form a triangle

6 0

3 years ago

9x - y = 45 solve for y

Lyrx [107]

First you subtract 9x from y and you get 45 - 9x = -y and you don't want negatives so you switch all the signs to get y = -45 + 9x

8 0

3 years ago

Read 2 more answers