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ivann1987 [24]
2 years ago
6

Could somebody please help me find the answers for 'x' for these pictures?

Mathematics
2 answers:
lesya692 [45]2 years ago
8 0

Answer:

Pic 1: x=31

Pic 2: x=20

Step-by-step explanation:

<u>Picture 1:</u>

<u />2x+x-3=90\\3x-3=90\\3x=93\\x=31

First, add the 2x and x together for 3x

Then add 3 to both sides of the equation

Finally, divide each side by 3.

<u>Picture 2:</u>

<u />7x+x+20=180\\8x+20=180\\8x=160\\x=20<u />

First, add 7x and x together for 8x

Then, minus 20 from both sides of the equation

Finally, divide each side by 8.

allochka39001 [22]2 years ago
6 0

Step-by-step explanation:

First picture

We can make an equation with this

2x+x-3=90

3x=93

x=31 degrees

Second picture

We can make and equation

7x+x+20=180

8x=160

x= 20

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Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
3 times 2 cubed + 5 squared-18 divided by 6
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Answer:

46

Step-by-step explanation:

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= 24 + 25 - 3

= 49 - 3

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