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3 years ago

Two angles are vertical angles. One is labeled 2x. The other angle is labeled (x+30). Find the value of x.

Mathematics

1 answer:

NeX [460]3 years ago

5 0

2x=x+30

-x -x

x=30

The value of x is 30

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PLEASE HELP ANSWER

zhannawk [14.2K]

Answer:

Either- the hats have equal volume

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3 years ago

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Verify in the following whether g(x) is a factor of p(x)

notsponge [240]

$\red{\large\underline{\sf{Solution-i}}}$

Given that,

$\rm \longmapsto\: p(x) = {x}^{4} - {x}^{3} - {x}^{2} - x - 2$

and

$\rm \longmapsto\:g(x) = x - 2$

We know,

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

$\rm \longmapsto\:p(2)$

$\rm \: = \: {2}^{4} - {2}^{3} - {2}^{2} - 2 - 2$

$\rm \: = \: 16 - 8 - 4 - 4$

$\rm \: = \: 16 - (8 + 4 + 4)$

$\rm \: = \: 16 - 16$

$\rm \: = \: 0$

$\rm\implies \:p(2) \: = \: 0$

So, 

$\bf\implies \:g(x) \: is \: factor \: of \: p(x)$

$\red{\large\underline{\sf{Solution-ii}}}$

$\rm \longmapsto\: p(x) = 2{x}^{3} + {x}^{2} - 2x + 1$

and

$\rm :\longmapsto\: g(x) = x + 1$

Now, By using Factor Theorem, Consider

$\rm \longmapsto\:p( - 1)$

$\rm \: = \: 2 {( - 1)}^{3} + {( - 1)}^{2} - 2( - 1) + 1$

$\rm \: = \: - 2 + 1 + 2 + 1$

$\rm \: = \: 2$

$\rm\implies \:p( - 1) \: \ne \: 0$

So, 

$\bf\implies \:g(x) \: is \: not \: a\: factor \: of \: p(x)$

8 0

3 years ago

A cake recipe calls for 2 1/2 cups of flour. If Mrs. Hizon will prepare for 4 2/3 servings of the recipe, how much flour will sh

Rasek [7]

let x be the flour

now

or,(21/2)+x=42/3

or,(21+2x)/2=42/3

or, 3(21+2x)=42×2

or, 63+6x=84

or,6x=84-63

or, 6x =21

or, x=21/6

thus she need 21/6 cups of flour

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3 years ago

What is the median of the data set represented by the dot plot? Enter the answer in the box. A number line with line with one do

Reika [66]

The median is 36 :)

6 0

4 years ago

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PLEASE HELP CORRECT ANSWER GETS BRAINLIST

anygoal [31]

Answer:

51 liters.

Step-by-step explanation:

By proportion number of litres for 1428 miles

= 17 * 1428/476

= 17 * 3

= 51 liters.

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2 years ago