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timofeeve [1]
3 years ago
6

Midpoints B is the midpoint of AC , find x.

Mathematics
2 answers:
Oksana_A [137]3 years ago
5 0
<h3><u>Given</u>:- </h3>

\red{➤}\:\sf AB = 5x

\red{➤}\:\sf BC = 3x+4

\\

<h3><u>To Find:-</u></h3>

\orange{☛}\:\sf Value  \:of  \:x

\\

<h3><u>Solution</u>:-</h3>

Since B is midpoint of AC, therefore -

\\\quad\quad\quad\quad\sf AB = BC

\begin{gathered}\\\quad\longrightarrow\quad \sf 5x = 3x+4\quad\quad ( Putting \:Value) \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad\sf 5x-3x =4 \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad\sf 2x =4 \\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad\sf x =\frac{4}{2}\\\end{gathered}

\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf {x=2 }}\\\end{gathered}

PolarNik [594]3 years ago
4 0

B is the midpoint which means both sides are equal to each other:

5x = 3x + 4

Subtract 3x from both sides

2x = 4

Divide both sides by 2

X = 2

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Two terms of an arithmetic sequence are a12=70 and a30=124. Write an explicit rule for the nth term.
Aleonysh [2.5K]

Answer:

The explicit formula is Tn = 34 + 3n

Step-by-step explanation:

The nth term of an arithmetic sequence can be represented using the formula

Tn = a + (n-1)d

where a is the first term , n is the number of terms and d is the common difference

For the 12 term(a12), n = 12

70 = a + (12-1)d

70 = a + 11d •••••••(i)

For the 30th term, n = 30

124 = a + (30-1)d

124 = a + 29d •••••••(ii)

Now, directly subtract equation i from ii, we have;

124-70 = (a-a) + (29d-11d)

54 = 18d

d = 54/18

d = 3

To get a , we substitute the value of d in any of the equations

let’s use the first

70 = a + 11d

substituting d = 3

70 = a + 11(3)

70 = a + 33

a = 70-33

a = 37

Thus the explicit formula for the nth term will be

Tn = a + (n-1)d

where a = 37 and d = 3

Tn = 37 + (n-1)3

Tn = 37 + 3n -3

Tn = 34 + 3n

5 0
3 years ago
A number is 5 more than 3 times another number. The sum of the two numbers is 33. As an equation, this is written x + 3x + 5 = 3
PolarNik [594]
For x=3
  3 + 3·3 + 5 = 17 ≠ 33

For x=5
  5 +3·5 + 5 = 25 ≠ 33

For x=7
  7 + 3·7 + 5 = 33 . . . . . this is the solution

For x=9
  9 + 3·9 + 5 = 41 ≠ 33
6 0
4 years ago
Label From least to greatest 1/2, 1/3, 1/,6, 4/9
Sholpan [36]

Answer:

1/6 4/9 1/3 1/2

Step-by-step explanation:

3 0
4 years ago
Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
marysya [2.9K]

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

3 0
3 years ago
Read 2 more answers
Find the slope of the line through the pair of points a (2,-3) p(2,9)
Katarina [22]
(x₁,y₁) = (2,-3)
(x₂,y₂) = (2,9)

To determine the slope using two points lie on the line, we could use the following formula
m = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

plug in the numbers
m = \dfrac{9-(-3)}{2-2}
m = \dfrac{9+3}{0}
m = \dfrac{12}{0}
m = undefined

The slope is undefined, the line is vertical
6 0
4 years ago
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