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Tpy6a [65]
3 years ago
11

Find the scale factor

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

1/3

Step-by-step explanation:

To get the scale factor , we have to divide the lengths of the similar sides on both shapes

What we have to do here is to divide the left length of each

we have this as 6/18 since they both represent the length

we have this as 1/3

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2. Find the 20th term of an arithmetic sequence if its 6th term is 14 and 14th term is 6.
Fudgin [204]

Answer:

\sf t_{20}= 0

Step-by-step explanation:

<h3>Arithmetic sequence:</h3>

      \sf \boxed{\bf n^{th} \ term = a + (n-1)d}\\\\\text{Here, a is the first term ; d is the common difference }

6th term is 14 ⇒ \sf t_6 = 14

                a + (6 - 1)d = 14

                    a  +  5d = 14  --------------(I)

14th term is 6 ⇒\sf t_{14} = 6

             a + (14-1)d = 6

                  a + 13d = 6 ----------------(II)

Subtract equation (II) from equation(I)

        (I)          a + 5d = 14

        (II)         a + 13d = 6

                    <u>-    -          -</u>

                            -8d = 8

                               d  = 8 ÷(-8)      

                              \sf \boxed{\bf d= (-1)}

Plugin d = -1 in equation (I)

a + 5(-1) = 14

      a -5  = 14

             a = 14 + 5

             \sf \boxed{\bf a = 19}  

20th term:

 \sf t_{20}= 19 + 19*(-1)

       = 19 - 19

   \sf \boxed{\bf t_{20} = 0}

8 0
2 years ago
Read 2 more answers
Luke has 48 books. He puts 7 books in a box. How many boxes can he fill? Explain how you interpreted the remainder
Damm [24]
He can fill 6 boxes. 48 / 7 = 6R6.

I interpreted the remainder by removing the remainder to get the answer.
3 0
3 years ago
Read 2 more answers
You have $83 in your bank account each week you plan to deposit eight dollars from your allowance and $15 from your paycheck the
docker41 [41]
We know that you have 83$ in your bank account.

Okay so what is 15+8=23 So that means you get 23$ per week.

Now what is 83+23=106
106+23=129
129+23=152
152+23=175
Now that was four 23's


That means it would take 4 weeks for you to have 175 dollars in your bank account.
Hope this helped.
7 0
3 years ago
I’m not sure how to solve “system of equations”
natka813 [3]

Hey there! :)

Answer:

(2, -2)

Step-by-step explanation:

-2x + y = -6

4x + 3y = 2

We can begin by setting the first equation equal to y:

-2x + y = -6

Add 2x to both sides:

y = 2x - 6

Plug this equation for y into the second equation:

4x + 3(2x - 6) = 2

Distribute:

4x + 6x - 18 = 2

Combine like terms:

10x = 20

x = 2

Plug the value of 'x' into an equation to solve for 'y':

-2(2) + y = -6

-4 + y = -6

y = -2

Therefore, the solution is (2, -2)

7 0
3 years ago
Please help!!! Please helpppp!!!!?? PLEASEE I DONT WANNA FAIL I WILL MAKE BRAINLIEST &lt;3
FromTheMoon [43]

Answer:

Triangle Sum Theory

Step-by-step explanation:

You add all the angles to get 180

4 0
3 years ago
Read 2 more answers
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