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Amanda [17]
3 years ago
7

Find the value of X

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0
<h3>Answer:</h3>

116

<h3>Step-by-step explanation:</h3>

The sum of angles of a 7-sided polygon is (7 -2)·180° = 900°. So, you need to choose x to make it so.

108° +101° +146° +137° +153° +139° +x° = 900°

x° = 900° -784° . . . . subtract 784°

x° = 116°

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The nth term of a sequence is 3n + 2
gavmur [86]

Answer:

see explanation

Step-by-step explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term rule

a_{1} = (3 × 1) + 2 = 3 + 2 = 5

a_{2} = (3 × 2) + 2 = 6 + 2 = 8

a_{3} = (3 × 3) + 2 = 9 + 2 = 11

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

substitute n = 10 into the n th term rule

a_{10} = (3 × 10) + 2 = 30 + 2 = 32

3 0
3 years ago
Read 2 more answers
The square root of 125 is between what two numbers
Otrada [13]

The square root of 125 is in between 11 and 12. It is 11.1803.

6 0
3 years ago
Read 2 more answers
Y=4 -2x<br> у = -5 + 4х<br> ||
kolezko [41]

Answer:

y=1

Step-by-step explanation:

y= 4 - 2x

y= -5 + 4x

4 - 2x = -5 + 4x

4 + 5 = 4x +2x

9 = 6x

9/6 = x

3/2 = x

y= 4 -2(3/2)

y = 4 - 3

y = 1

5 0
2 years ago
He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. The day before, he drank 4 small bottles and 1 large bot
AVprozaik [17]

Answer: the small bottle holds 15 ounces while the large bottle holds 23 ounces.

Step-by-step explanation:

Let x represent the number of ounces that a small bottle holds.

Let y represent the number of ounces that a large bottle holds.

He drank 2 small bottles and 2 large bottles, for a total of 76 ounces. It means that

2x + 2y = 76 - - - - - - - - - - - - 1

The day before, he drank 4 small bottles and 1 large bottle, for a total of 83 ounces. This means that

4x + y = 83 - - - - - - - - - - - - -2

Multiplying equation 1 by 2 and equation 2 by 1, it becomes

4x + 4y = 152

4x + y = 83

Subtracting, it becomes

3y = 69

y = 69/3 = 23 ounces

Substituting y = 23 into equation 1, it becomes

2x + 2 × 23 = 76

2x + 46 = 76

2x = 76 - 46 = 30

x = 30/2 = 15 ounces

4 0
3 years ago
Helpppppppppppppppp ill mark you brainlist write in y=mx+b form
Sholpan [36]

Answer:

The equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}

Step-by-step explanation:

Given the points

  • (-8, 5)
  • (-1, -5)

Finding the slope

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-8,\:5\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-5\right)

m=\frac{-5-5}{-1-\left(-8\right)}

m=-\frac{10}{7}

We know the slope-intercept form of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting m = -10/7 and (-8, 5) in the slope-intercept form to determine the y-intercept

5\:=\:\frac{-10}{7}\left(-8\right)+b

\frac{80}{7}+b=5

b=-\frac{45}{7}

now substituting m = -10/7 and b = -45/7 in the slope-intercept form

y = mx+b

y\:=\:\frac{-10}{7}x+\left(-\frac{45}{7}\right)

y\:=\:\frac{-10}{7}x-\frac{45}{7}

Thus, the equation of the line in slope-intercept form is:

  • y\:=\:\frac{-10}{7}x-\frac{45}{7}
7 0
2 years ago
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