What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)?

What is the measure (in degrees) of the smallest interior angle of a triangle in which the exterior angle measures have the rati

steposvetlana [31]

Let

3x----> angle exterior 1

4x----> angle exterior 2

5x----> angle exterior 3

we know that

The exterior angles of any polygon add up to 360 degrees

so

3x+4x+5x=360-------> 12x=360----------> x=30°

The largest of exterior angles is equal to the smallest of interior angles

so

the largest of exterior angles is 5x------> 5*30=150°

the smallest of interior angles is 180°-150°=30°

therefore

the answer is

the smallest of interior angle measure 30 degrees

8 0

1 year ago

Read 2 more answers

Hich expression is equivalent to -4(7 - 2m) + 11m?

Sholpan [36]

Answer:

$- 4(7 - 2m) + 11m \\ = - 28 + 8m + 11m \\ = \boxed{19m - 28}$

<em><u>Expression (19m-28) is equivalent to -4(7 - 2m) + 11m.</u></em>

3 0

1 year ago

To make f continuous at x=2 , f(2) should be defined as what value? Justify your answer.

yawa3891 [41]

Answer:

To make f continuous at $x=2$ , $f(2)$ should be defined $x = 2.$

Step-by-step explanation:

A function, let say $f(x)$ , is defined at $x = c$ is continuous at $x = c$

If the limit of $f(x)$ as $x$ approaches $c$ is equal to the value of $f(x)$ at $x = c$ .

Mathematically it is written as:

if

$\lim _{x\to c}\:f\left(x\right)=f\left(c\right)$

then

$f(x)$ is continuous at $x = c$ .

So from the above definition, we conclude that:

To make f continuous at $x=2$ , $f(2)$ should be defined $x = 2.$

i.e.

if

$\lim _{x\to 2}\:f\left(x\right)=f\left(2\right)$

then

$f(x)$ is continuous at $x = 2$ .

8 0

1 year ago

Katrina has the option of an 8-year non-subsidized student loan of $32,000 at an annual interest rate of 3.5% or an 8-year subsi

Fiesta28 [93]

Answer: katrina will pay less interest on the 8-year non subsidized student loan

The total interest paid on the non-subsidized loan is USD 8,959

The total interest paid on the subsidized loan is USD 11,520

Step-by-step explanation:

Subsidized loan at 4.5% for 8years will be 4.5/100 × 32000 x 1/12= USD120/month, USD 1440/year. For 8 years, USD11,520

For non subsidized student loan at 3.5% will be 3.5/100 x 32000x 1/12= USD 93.33/month, USD 1,119per year and USD 8,959 for 8 years

6 0

1 year ago

W = 3x + 7y solve for y

mario62 [17]

Answer:

The value of the equation $y=\frac{W-3x}{7}$ .

Step-by-step explanation:

Consider the provided equation.

$W = 3x + 7y$

We need to solve the provided equation for y.

Subtract 3x from both side.

$W-3x= 3x-3x+ 7y$

$W-3x=7y$

Divide both sides by 7.

$\frac{7y}{7}=\frac{W-3x}{7}$

$y=\frac{W-3x}{7}$

Hence, the value of the equation is $y=\frac{W-3x}{7}$ .

8 0

2 years ago