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2 years ago

WILL MARK YOU BRAINLIEST

Mathematics

1 answer:

jasenka [17]2 years ago

5 0

Answer:

Sum of exterior angle of polygon=360

Each exterior angle of polygon =24

Number of sides of polygon=\frac{360}{24}

360

=15

=> Number of sides of polygon with each angle of 24 is 15.

Step-by-step explanation:

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Solve each inequality, and then drag the correct solution graph to the inequality.

Nesterboy [21]

The correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

(NOTE: The graphs are labelled A, B and C from left to right)

For the first inequality,

$4(9x-18)>3(8x+12)$

First, clear the brackets,

$36x-72>24x+36$

Then, collect like terms

$36x-24x>36+72\\12x >108$

Now divide both sides by 12

$\frac{12x}{12} > \frac{108}{12}$

∴ $x > 9$

For the second inequality

$-\frac{1}{3}(12x+6) \geq -2x +14$

First, clear the fraction by multiplying both sides by 3

$3 \times[-\frac{1}{3}(12x+6)] \geq3 \times( -2x +14)$

$-1(12x+6) \geq -6x +42$

Now, open the bracket

$-12x-6 \geq -6x +42$

Collect like terms

$-6 -42\geq -6x +12x$

$-48\geq 6x$

Divide both sides by 6

$\frac{-48}{6} \geq \frac{6x}{6}$

$-8\geq x$

∴ $x\leq -8$

For the third inequality,

$1.6(x+8)\geq 38.4$

First, clear the brackets

$1.6x + 12.8\geq 38.4$

Collect likes terms

$1.6x \geq 38.4-12.8$

$1.6x \geq 25.6$

Divide both sides by 1.6

$\frac{1.6x}{1.6}\geq \frac{25.6}{1.6}$

∴ $x \geq 16$

Let the graphs be A, B and C from left to right

The first graph (A) shows $x\leq -8$ and this matches the 2nd inequality

The second graph (B) shows $x \geq 16$ and this matches the 3rd inequality

The third graph (C) shows $x > 9$ and this matches the 1st inequality

Hence, the correct solution graph to the inequalities are

$4(9x-18)>3(8x+12)$ → C

$-\frac{1}{3}(12x+6) \geq -2x +14$ → A

$1.6(x+8)\geq 38.4$ → B

Learn more here: brainly.com/question/17448505

8 0

2 years ago

How to tell if your tower can have 2nd monitor?

riadik2000 [5.3K]

Check the tower to see if it has more than multipin monitor connector.

7 0

3 years ago

Help me! Answer in pic not correct !

sladkih [1.3K]

Answer:

$Q'=(4,1)\\R'=(6,-5)\\S'=(3,-4)\\T'=(1,-1)$

Step-by-step explanation:

First we have to find the coordinates of the original ordered pairs then we will do the translation.

$Q=(1,3)\\R=(3,-3)\\S=(0,-2)\\T=(-2,1)$

Now we will add 3 to every x value and add a -2 to every y value.

$Q=(1_{+3},3_{+(-2)})\\R=(3_{+3},-3_{+(-2)})\\S=(0_{+3},-2_{+(-2)})\\T=(-2_{+3},1_{+(-2)})$

When you do that you will get the new prime points.

$Q'=(4,1)\\R'=(6,-5)\\S'=(3,-4)\\T'=(1,-1)$

8 0

3 years ago

Find the volume of a cube that has the following dimensions:length=2x^2 width=x^3 height=x^2-6x+5 A) 4x^7-3x^6+8x^5 B) 2x^12-12x

fomenos

Answer:

Option D. 2x⁷ - 12x⁶ + 10x⁵

Step-by-step explanation:

From the question given:

Length (L) = 2x²

Width (w) = x³

Height (h) = x² - 6x + 5

Volume (V) =?

Volume (V) = length (L) x width (w) x height (h)

V = L x w x h

V = 2x² × x³ × x² - 6x + 5

V = (2x²) (x³) (x² - 6x + 5)

V = (2x⁵) (x² - 6x + 5)

Clear bracket

V = 2x⁷ - 12x⁶ + 10x⁵

Therefore, the volume of the cube is 2x⁷ - 12x⁶ + 10x⁵

4 0

3 years ago

If Alex spends more than $150 today, he will overdraw his bank

sammy [17]

Answer:

he will overdraw his bank account by at least $25

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers