write the equation of the line

The first step that we must take before attempting to solve almost any problem is to determine what the problem statement is asking us to do and what they are giving to us to help finish the problem.  Looking at this question we can see that they have requested for us to solve for x and we were provided with a figure.

After understanding what the problem is asking for us to do we can attempt to solve the problem.  We can see that there are two angles on a straight line and this is known as supplementary angles.  Let us define what supplementary angles are.

In this case we don't have a missing angle but rather a variable that makes up each of the angles.  Using a similar concept we can create an expression with 4x - 6 and 2x and have them combined to equal to 180.  After that we can solve for the unknown which in turn would give us x.

Create an expression

Combine like terms

Add 6 to both sides

Divide both sides by 6

Therefore, after creating an expression and then simplifying it down all the way to just have the value of x equal to something we were able to determine that the unknown variable of x is equal to 31.

[tex]\huge\text{Hey there!}[/tex]

[tex]\text{Your equation: }\rm{(2x) + (4x - 6) = 180^\circ}\\\large\text{SOLVING for the x-value}\\\rm{2x + 4x - 6 = 180^\circ}\\\large\text{COMBINE the LIKE TERMS}\\\rm{(2x + 4x) + (-6) = 180^\circ}\\\rm{2x + 4x - 6 = 180^\circ}\\\rm{6x - 6 = 180^\circ}\\\large\text{ADD 6 to BOTH SIDES}\\\rm{6x - 6 + 6 = 180 + 6}\\\large\text{SIMPLIFY IT!}\\\rm{6x = 180 + 6}\\\rm{6x = 186}\\\large\text{DIVIDE 6 to BOTH SIDES}\\\rm{\dfrac{6x}{6} = \dfrac{186}{6}}\\\large\text{SIMPLIFY IT!}\\\rm{x = \dfrac{186}{6}}\\\rm{x= 31}[/tex]

[tex]\huge\text{Therefore, your answer should be: \boxed{\mathsf{x = 31}}}\huge\checkmark\\\\\\\\\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

Answer:

1/8

Step-by-step explanation:

Simplify the following:

(1 + 3/4)/(1/2) - (1/2 + 1)^3

Hint: | Write (1 + 3/4)/(1/2) as a single fraction.

Multiply the numerator of (1 + 3/4)/(1/2) by the reciprocal of the denominator. (1 + 3/4)/(1/2) = ((1 + 3/4)×2)/1:

(3/4 + 1) 2 - (1/2 + 1)^3

Hint: | Put the fractions in 1 + 1/2 over a common denominator.

Put 1 + 1/2 over the common denominator 2. 1 + 1/2 = 2/2 + 1/2:

(1 + 3/4) 2 - (2/2 + 1/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

2/2 + 1/2 = (2 + 1)/2:

(1 + 3/4) 2 - ((2 + 1)/2)^3

Hint: | Evaluate 2 + 1.

2 + 1 = 3:

(1 + 3/4) 2 - (3/2)^3

Hint: | Put the fractions in 1 + 3/4 over a common denominator.

Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

4/4 + 3/4 2 - (3/2)^3

Hint: | Add the fractions over a common denominator to a single fraction.

4/4 + 3/4 = (4 + 3)/4:

(4 + 3)/4×2 - (3/2)^3

Hint: | Evaluate 4 + 3.

4 + 3 = 7:

7/4×2 - (3/2)^3

Hint: | Express 7/4×2 as a single fraction.

7/4×2 = (7×2)/4:

(7×2)/4 - (3/2)^3

Hint: | In (7×2)/4, divide 4 in the denominator by 2 in the numerator.

2/4 = 2/(2×2) = 1/2:

7/2 - (3/2)^3

Hint: | Simplify (3/2)^3 using the rule (p/q)^n = p^n/q^n.

(3/2)^3 = 3^3/2^3:

7/2 - 3^3/2^3

Hint: | In order to evaluate 3^3 express 3^3 as 3×3^2.

3^3 = 3×3^2:

7/2 - (3×3^2)/2^3

Hint: | In order to evaluate 2^3 express 2^3 as 2×2^2.

2^3 = 2×2^2:

7/2 - (3×3^2)/(2×2^2)

Hint: | Evaluate 2^2.

2^2 = 4:

7/2 - (3×3^2)/(2×4)

Hint: | Evaluate 3^2.

3^2 = 9:

7/2 - (3×9)/(2×4)

Hint: | Multiply 2 and 4 together.

2×4 = 8:

7/2 - (3×9)/8

Hint: | Multiply 3 and 9 together.

3×9 = 27:

7/2 - 27/8

Hint: | Put the fractions in 7/2 - 27/8 over a common denominator.

Put 7/2 - 27/8 over the common denominator 8. 7/2 - 27/8 = (4×7)/8 - 27/8:

(4×7)/8 - 27/8

Hint: | Multiply 4 and 7 together.

4×7 = 28:

28/8 - 27/8

Hint: | Subtract the fractions over a common denominator to a single fraction.

28/8 - 27/8 = (28 - 27)/8:

(28 - 27)/8

Hint: | Subtract 27 from 28.

| 2 | 8

- | 2 | 7

| 0 | 1:

Answer: 1/8

Answer:

3

Step-by-step explanation:

just trust me hehehehhehehehhe

Answer:

Are you talking about the corrida nates

Step-by-step explanation:

Answer:

2 ft 4 inches

Step-by-step explanation:

12 inches = 1 ft

28/12=2.4

Answer:

The Answer is 6,866

Answer:

44

Step-by-step explanation:

4+8(5)

Multiply 8 by 5

4+40=44

Add 4 to the product (40) to get the final answer of 44

Remember PEMDAS

Answer:

x=9

Step-by-step explanation:

to find ×=-intercept/zero substitute y=0 0=-3x+27

move the variable to find the left hand side and change its sign 3x=27

divide both sides of the equation by 3x=9

Answer:

C=10. They did distributive property. Hope this helped!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer: 2 divided by cot 40 degrees

Step-by-step explanation: ima nerd

Answer:

19

Step-by-step explanation:

Answer:

54 scarves

Step-by-step explanation:

4 hours-9 scarves

8 hours-18 scarves

12hours -27 scarves

16 hours-36 scarves

20 hours-45 scarves

24 hours-54 scarves

pattern: h+4 (hours)  s+9 (scarves)

Answer:

56 carrots

Step-by-step explanation:

Because 7 x 8 is 56

Answer:

6.25

Step-by-step explanation:

25=4t

divide 4 on both sides,

6.25=x

Answer:

1/3 + 1/4 equals 7/12

if you click the image it will show you how to get the answer.

Answer:

45.6363636 or 45.6

Step-by-step explanation:

Answer:

answer:it is 45.636

Answer:

The answer would be 8

Step-by-step explanation:

4x8=32

4 is the pieces of each pie

8 is how many pies

32 is how many pieces they need

Answer:

16/15 or 1 1/15

Step-by-step explanation:

Answer: y-4=-2(x-1)

Step-by-step explanation: So just use the point slope equation of  y-y^1=m(x-x^1)

Answer:

Step-by-step explanation:

Answer:

0.36

Step-by-step explanation:

I used the long division method.

Hope this helps:)

Answer:

1) C

2) B

3) A,B, and C

4) C

5) B

6) C

Step-by-step explanation:

Answer:

1. C

2. B

3. A, B, C

4. C

5. B

6. C

Step-by-step explanation:

1. You can remember the name by just looking at their positions- they alternate and they're on the exterior

2. They are supplementary meaning they add to 180°, set the angle measures up to 180 and solve for x!

76 + 2x = 180

2x = 104

x = 52

3. Equilateral trinagles have these qualities

4. Those hashes on the sides of the triangles signify those sides are the same length- that means the angles opposite of those sides share the same angle measure. If you know two angles are 35, and the last angle is 2x, you can set up an equation:

35 + 35+ 2x = 180

70 + 2x = 180

2x = 110

x = 55

5. That square means a right angle which equals  90°, like question 4, you set up an equation!

90 + 5x + 5x = 180

90 + 10x = 180

10x = 90

x = 9

6. Set up a proportion.

12 : 30 // 12(x) = 30, x = 2.5

8 : y // 8(2.5) = y, y = 20

Answer:

Okie since i "answered" you can give him brainly

Step-by-step explanation:

Answer:

A reflection

Step-by-step explanation:

It has been mirrored.

Answer:

Option (2)

Step-by-step explanation:

Explicit formula of an arithmetic sequence is always in the linear form.

A(n) = a + (n - 1)d

Here A(n) = nth term of the sequence

a = first term

n = number of term

d = common difference

Formula doesn't have the terms with the exponent.

Therefore, from the given options, expression that represents an arithmetic sequence will be,

f(n) = 3n - 4

Option (2) will be the correct option.

Answer:

likely

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

y = -2/3x + 5

The range of milk production that 95% of the cows will fall within is option B: 4.8 gallons to 7.6 gallons.

To find the range of daily milk production that 95% of the cows will fall within, we can use the empirical rule, which states that for a normal distribution:

About 68% of the observations fall within one standard deviation of the mean.

About 95% of the observations fall within two standard deviations of the mean.

About 99.7% of the observations fall within three standard deviations of the mean.

Since we are looking for the range of milk production that 95% of the cows will fall within, we need to find the range that is within two standard deviations of the mean. That range is:

Mean ± 2SD

= 6.2 ± 20.7

= 6.2 ± 1.4

= [4.8, 7.6]

To learn more about the standard deviation;

brainly.com/question/23907081

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