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3 years ago

What is the value of n?

Mathematics

2 answers:

suter [353]3 years ago

5 0

133 = 38 + m angle adjacent to n (exterior angle of triangle theorem)
so m this angle = 133 - 38 = 95 degrees
Thus m n = 180 - 95 = 68 degress

Its option A.

erica [24]3 years ago

4 0

An exterior angle of a triangle is equal to the sum of the opposite interior angles

so
n = (180 - 133) + (180 - 142)
n = 47 + 38
n = 85

answer is A. 85

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Find the horizontal and vertical asymptotes of f(x). f(x) equals = StartFraction 6 x Over x plus 2 EndFraction 6x x+2 Find the

miss Akunina [59]

Answer:

The horizontal asymptote can be described by the line y = 6

The vertical asymptote can be described by the line x = -2

Step-by-step explanation:

* Lets the meaning of vertical and horizontal asymptotes

- Vertical asymptotes are vertical lines which correspond to the zeroes

of the denominator of a rational function

- A horizontal asymptote is a y-value on a graph which a function

approaches but does not actually reach

- If the degree of the numerator is less than the degree of the

denominator, then there is a horizontal asymptote at y = 0

- If the degree of the numerator is greater than the degree of the

denominator, then there is no horizontal asymptote

- If the degree of the numerator is equal the degree of the denominator,

then there is a horizontal asymptote at y = leading coefficient of the

numerator ÷ leading coefficient of the denominator

* Lets solve the problem

∵ $f(x)=\frac{6x}{x+2}$

∵ The numerator is 6x

∵ The denominator is x + 2

∴ The numerator and the denominator have same degree

∵ The leading coefficient of the numerator is 6

∵ The leading coefficient of the denominator is 1

∴ There is a horizontal asymptote at y = 6/1

∴ The horizontal asymptote can be described by the line y = 6

- Put the denominator equal zero to find its zeroes

∵ The denominator is x + 2

∴ x + 2 = 0

- Subtract 2 from both sides

∴ x = -2

∴ The vertical asymptote can be described by the line x = -2

6 0

3 years ago

Read 2 more answers

Can someone please help me with # 2 #13 thanks show work how it's done, please

zavuch27 [327]

Problem 13

10p+10q factors to 10(p+q). If we apply the distributive property, we can distribute the 10 to each term inside (p and q) to get

10(p+q) = (10 times p)+(10 times q) = 10*p + 10*q = 10p+10q

so we get the original expression again. Here 10 is the GCF of the two terms.

--------------------------------------------------------------

Plug p = 1 and q = 2 into the factored form

10*(p+q) = 10*(1+2) = 10*(3) = 30

As a check, let's plug those p,q values into the original expression

10*p+10*q = 10*1+10*2 = 10+20 = 30

We get the same output of 30

6 0

3 years ago

The area of a rectangle increased by seven is the same as for less than twice the area of the rectangle. Right and solve an equa

never [62]

Answer:

11 Square Units

Step-by-step explanation:

Let A be the area of the Rectangle

First statement: The area of the rectangle is increased by seven, we have :

A+7

Second Statement: Four less than twice the area of the rectangle

Twice the Area=2A

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Therefore:

2A-4=A+7

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2A-A =7+4

A=11

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7 0

3 years ago

If PR = 5x – 3 and QS = 3x – 5 and QS == PR, what are the length of the diagonals?

OleMash [197]

Answer:

Step-by-step explanation:

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6x - 5x = 10 - 3

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8 0

2 years ago

Find area of a parallelogram with a height of 8 inches and a base of 14 inches

12345 [234]

Answer:

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Step-by-step explanation:

Given,

Height of a parallelogram ( h ) = 8 inches

Base of a parallelogram ( b ) = 14 inches

Area of a parallelogram ( A ) = ?

Finding the area of a parallelogram

$\boxed{ \sf{area \: of \: parallelogram \: = \: base \: \times \: height}}$

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Hope I helped!

Best regards! :D

4 0

3 years ago