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3 years ago

Can anyone help me with this?

Mathematics

1 answer:

Vika [28.1K]3 years ago

3 0

Answer:

x = 51

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Which means that 77 + 107 + 156 + 149 + x = 540

^ ( note that we just created an equation that we can

use to solve for x )

We then solve for x using that equation

77 + 107 + 156 + 149 + x = 540

step 1 combine like terms

77 + 107 + 156 + 149 = 489

we now have 489 + x = 540

step 2 subtract 489 from each side

489 - 489 cancels out

540 - 489 = 51

we're left with x = 51

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Viktor [21]

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-4ỿ = 8

Simplify the left side in order to isolate the ỿ!

-4ỿ = 8
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Ỿ = 12

⓶
× + 3y - 3z = -26

Simplify the left side in order to isolate the ×, ỿ and z!

× + 3y - 3z = -26
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⓷
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3 years ago

Read 2 more answers

Domain and Range for the function f(x)=5IXI is

shutvik [7]

Answer:

The domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

The range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

Step-by-step explanation:

Given the function

$f\left(x\right)=5\left|x\right|$

Determining the domain:

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It is clear that the function has undefined points nor domain constraints.

Thus, the domain of the function f(x) is:

$\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:$

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

We know that the range of an Absolute function is of the form

$c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k$

$k=0$

Thus, the range of the function f(x) is:

$\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}$

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3 years ago

Find the slope of the line that passes through the origin and the point (-2,5).

Mekhanik [1.2K]

Slope -2/5.

Answer:

Solution given:

(x1,y1)=(0,0)

(x2,y2)=(-2,5)

now

slope =(x2-x1)/(y2-y1)=(-2-0)/(5-0)=-2/5

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3 years ago

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Answer:

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3 years ago

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Nataly [62]

Answer:

The expressions here are;

6 + 5w

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Step-by-step explanation:

Here, out of the given set, we want to choose all options that are expression.

To do this, we should understand that expressions do not have the equality sign like equations

So expressions are those in the set in which we do not have an equality sign

The right answer is thus;

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3 years ago