$4x~~ = ~~\cfrac{120~~ + ~~2x}{2}\implies 8x=120+2x\implies 6x=120 \implies x=\cfrac{120}{6} \\\\\\ x=20~\hfill \stackrel{\measuredangle 4x}{4(20)=80^o}~\hfill \underset{180~~ - ~~4x}{\stackrel{\measuredangle AED}{180^o-80^o=100^o}}$

7 0

1 year ago

Shirley has a collection of 50 stamps and adds 4 stamps daily to her collection. model this situation as a function of number of

kompoz [17]

Stamps - S

S= 50+ 4d

Sorry if I’m wrong

4 0

2 years ago

Determine the first four terms of the sequence in which the nth term is

Licemer1 [7]

<u>Answer:</u>

The correct answer option is: $\frac{1}{3} ,\frac{1}{4} ,\frac{1}{5} ,\frac{1}{6}$ .

<u>Step-by-step explanation:</u>

We know that the $nth$ term $a_n$ for an arithmetic sequence is given by:

$a_n=\frac{(n+1)!}{(n+2)!}$

where $n$ is the number of the position of the term.

We are supposed to find the first four terms of the sequence so we will substitute the values of $n$ from 1 to 4 in the given formula to get:

1st term:

$a_1=\frac{(1+1)!}{(1+2)!}=\frac{1}{3}$

2nd term:

$a_2=\frac{(2+1)!}{(2+2)!}=\frac{1}{4}$

3rd term:

$a_3=\frac{(3+1)!}{(3+2)!}=\frac{1}{5}$

4th term:

$a_4=\frac{(4+1)!}{(4+2)!}=\frac{1}{6}$

8 0

3 years ago

The area of a rectangle is 5/8 meter. The length of the garden is 1/5 meter. What is the width of the rectangle?

Afina-wow [57]

Width of rectangle is $Width=\frac{25}{8} meters$

Step-by-step explanation:

Area of rectangle = $\frac{5}{8}$

Length of garden = $\frac{1}{5}$

Width of rectangle = ?

Using the Formula:

Area = Length * Width

Putting values and finding width:

$\frac{5}{8}=\frac{1}{5}*Width\\ Width=\frac{5}{8}\div\frac{1}{5}\\Width=\frac{5}{8}*\frac{5}{1}\\Width=\frac{25}{8} meters$

So, width of rectangle is $Width=\frac{25}{8} meters$

Keywords: Area of rectangle

Learn more about Area of rectangle at:

#learnwithBrainly

8 0

2 years ago