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Leno4ka [110]
3 years ago
10

WILL MARK BRAINLIESTT Ms. Barnes draws a pair of supplementary angles and tells the class that the angle measures are (4x + 30 )

° and (2x + 6)° and asked them to write an equation to determine the value of x. Terrance wrote the equation 4x +30 = 2x + 6. Do you agree with Terrance? If so, what is the value of x? If not, what is the correct equation to find the value of x?
Mathematics
1 answer:
Maru [420]3 years ago
3 0

Answer:

Terrance is incorrect

Step-by-step explanation:

Supplementary angles add to 180 degrees

4x+30 + 2x+6 = 180

Combine like terms

6x+36 = 180

Subtract 36 from each side

6x+36-36 = 180 -36

6x =144

Divide by 6

6x/6 = 144/6

x =24

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A line with a slope of 1 passes through the point (4,2). What is its equation in
boyakko [2]

Answer:

y=x+2

Step-by-step explanation:

Given, m = 1

Eqn of st line is y = mx + c

y = 1*x + c

y= x + c ........eqn (i)

since, the line passes through the point (4,2)

4 = 2 + c

c = 4 - 2

c = 2

Now, Putting the value of c = 2 in eqn (i)

y = x + 2 is req eqn of line

7 0
3 years ago
Please answer and i have to show work
stealth61 [152]

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to \frac{3}{2}

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (r, - 4)

m = \frac{-4-2}{r-3} = \frac{-6}{r-3} , then equating gives

\frac{-6}{r-3} = \frac{3}{2} ( cross- multiply )

3(r - 3) = - 12 ( divide both sides by 3 )

r - 3 = - 4 ( add 3 to both sides )

r = - 1 → B

4 0
3 years ago
9) What 2 numbers have a total of 28 and a difference of 6?<br>​
Vedmedyk [2.9K]

Answer:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

Step-by-step explanation:

The sum of x and y is 28. In other words, x plus y equals 28 and can be written as equation A:

x + y = 28

The difference between x and y is 6. In other words, x minus y equals 6 and can be written as equation B:

x - y = 6

Now solve equation B for x to get the revised equation B:

x - y = 6

x = 6 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 28

6 + y + y = 28

6 + 2y = 28

2y = 22

y = 11

Now we know y is 11. Which means that we can substitute y for 11 in equation A and solve for x:

x + y = 28

x + 11 = 28

X = 17

Summary: The sum of two numbers is 28 and their difference is 6. What are the two numbers? Answer: 17 and 11 as proven here:

Sum: 17 + 11 = 28

Difference: 17 - 11 = 6

8 0
3 years ago
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igomit [66]
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Mrrafil [7]

Answer:

Yes

Step-by-step explanation:

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