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nexus9112 [7]
2 years ago
15

Four straight lines k, l, m, and n intersect as shown in

Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0

Answer:

28

Step-by-step explanation:

2x-49 is opposite to an angle in line m

taking only line m

55+x+2x-49+90 = 180

3x = 84

x = 28

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Solve each system of equations <br> 2x- 5y = 7<br> 3x - y = -9
Darina [25.2K]

Answer:

x = -4; y = -3

Step-by-step explanation:

2x - 5y = 7

3x - y = -9

Rewrite top equation. Multiply both sides of bottom equation by -5. Add equations. This eliminates y, and we solve for x.

         2x - 5y = 7

(+)   -15x + 5y = 45

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

      -13x         = 52

Divide both sides by -13.

x = -4

Substitute -4 for x in the first original equation and solve for y.

2x - 5y = 7

2(-4) - 5y = 7

-8 - 5y = 7

-5y = 15

y = -3

Answer: x = -4; y = -3

-5 =

8 0
3 years ago
Enter the difference between the rates of change for these two functions.
Alchen [17]

Answer:

.

Step-by-step explanation:

Graph :

Choose any two points. (0 , 2) and (-1 , -2)

Rate of change = Change in y ÷ Change in x

                          = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=  \frac{-2 - 2}{-1 - 0}\\\\=  \frac{-4}{-1}\\\\= 4

Table:

Rate of change = \frac{-2-[-6]}{2-0}

                          =  \frac{-2+6}{2}\\\\=  \frac{4}{2}\\\\= 2

4 0
3 years ago
How can refusal skills help you to avoid danger?
gayaneshka [121]

Answer:

Children who are taught refusal skills are more likely to make positive choices and refrain from engaging in high-risk behaviors

Step-by-step explanation:

5 0
2 years ago
SOMEONE, PLEASE HELP ME WITH THIS PLSSSS
Stels [109]

Answer:

Step-by-step explanation:

1. You can use the intercepts to graph the line. The graph of 2x + 3y = 12      crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12  crosses the y-axis at (0, 4), so its y-intercept is 4.

2. Point-Slope Form: y - y1 = m(x - x1)

Standard Form: ax + by = c

5x - 2y = 10

-2y = -5x + 10

y = (5/2)x - 5    The slope is 5/2.

y - 2 = (-5/2)(x - 10)

y = (-5/2)x + 25 + 2

y = (-5/2)x + 27      The slope is -5/2.

y = (-5/2)x - 10     The slope is -5/2.

5 0
3 years ago
The product of two consecutive positive integers is 132. What are the integers?
alina1380 [7]

Answer:

The integers are 11 and 12

Step-by-step explanation:

11 and 12 are consecutive positive integers, and 11 x 12 = 132.

5 0
3 years ago
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