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3 years ago

PLEASE HELP if all correct will give brainliest 15!! POINTS

Mathematics

1 answer:

Vsevolod [243]3 years ago

4 0

1. Linear Pair Postulate

2. Angle 2

3.Angle 3

4.Angle Congruence Postulate

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Can this be simplified any further? 15x^2+-27x

maria [59]

Yes; if you look at both terms, they both have a common factor of 3x, therefore, this expression can be simplified as 3x(5x-9).

3 0

3 years ago

Help po mga kuya, ate.

Agata [3.3K]

Answer:

sorry

Step-by-step explanation:

i have to comment to get points to ask questions

8 0

2 years ago

How do you solve this system of linear equation by substitution x-3y=-12 y=2x+9

Ainat [17]

Finding x:
If y=2x+9, substitute y into the equation x-3y=-12.
You will get: x-3(2x+9)=-12
Now, distribute: x-6x-27=-12
Add like terms: -5x-27=-12
Add 27 to both sides: -5x=15
Divide both sides by -5: x=-3

Now, substitute this value of x into the equation to find y: y=2(-3)+9
Multiply: y=-6+9
Add: y=3

Here is the solution: (x,y)=(-3,3)

Hope this explanation helped!

6 0

3 years ago

There is a total of 36 books on the bookshelf. The number of hardback books is 15 more than twice the number of paperback books.

uranmaximum [27]

The number of hardback books that are on the bookshelf is 29 books.

Let the total number of books be T.

Let the number of hardback books be H.

Let the number of paperback books be P.

Given the following data:

Total number of books = 36 books

To determine the number of hardback books that are on the bookshelf:

Translating the word problem into an algebraic expression, we have;

The total number of books is:

$T = H+P$

The number of hardback books is 15 more than twice the number of paperback books:

$H =2P+15$

Substituting the given parameters into the formula, we have;

$36 = 2P+15+P\\\\36=3P+15\\\\3P=36-15\\\\3P=21\\\\P=\frac{21}{3}$

P = 7 books

For number of hardback books:

$H =2P+15\\\\H=2(7)+15\\\\H=14+15$

H = 29 books

Read more on word problem here: brainly.com/question/24604067

3 0

2 years ago

Is (x + 7) a factor of f(x) = x3 − 3x2 + 2x − 8? Use either the remainder theorem or the factor theorem to explain your reasonin

guajiro [1.7K]

Step-by-step explanation:

If x + 7 is a factor of f(x), then f(-7) = 0.

f(-7) = (-7)³ − 3(-7)² + 2(-7) − 8

f(-7) = -343 − 147 − 14 − 8

f(-7) = -512

x + 7 is not a factor of f(x).

4 0

3 years ago