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Sphinxa [80]
3 years ago
11

What is an equation of the line that passes through the point (−2,−3) and is parallel to the line 4x-y=14

Mathematics
1 answer:
liraira [26]3 years ago
5 0

Answer:

4x - y = -5

Step-by-step explanation:

The equation of a new line which is parallel to old line 4x - y = 14 looks exactly the same as that of the old line EXCEPT that we replace the constant, 14, with C and find C for the line that passes through (-2, -3).

4x - y = 14     becomes     4x - y =  C

Now substitutte -2 for x, -3 for y and calculate C:

4(-2) - (-3) = C, or

-8 + 3 = C = - 5

Thus, the new equation is 4x - y = -5

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1.) List all interior angles (see image)
Alexxandr [17]

Answer:

1. Interior angles:- B and F

                                C and G

2. Corresponding angles:- E and G

                                              F and H

                                              A and C

                                              B and D

3. Equal

4. Angle A = 105

    Angle C = 105

    Angle D = 75

    Angle E = 75

    Angle F = 105

    Angle G = 75

     Angle H = 105

5. Angle D

6. Angle B = 65

Step-by-step explanation:

1. The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles.

∴ Pair of interior angles are:- 1)  B and F

                                                  2) C and G

2. Corresponding angles:- the angles which occupy the same relative position at each intersection where a straight line crosses two others.

∴ Pair of corresponding angles:- 1) A and C

                                                        2) B and D

                                                        3) E and G

                                                        4) F and H

3. Angle D and E are equal as they form alternate exterior angles.

4. Angle B = 75 degrees

Angle A = (180-B) = 105 degrees

Angle C = (180-B) = 105 degrees(interior angles)

Angle D = B = 75 degrees(corresponding angles)

Angle E = B = 75 degrees(congruent angles)

Angle F = (180-B) = 105 degrees

Angle G = B = 75 degrees(alternate interior angles)

Angle A = (180-B) = 105 degrees

5. Angle D

6. Angle F = 115 degrees

Angle B = (180-115) = 65 degrees

3 0
3 years ago
Niki wants to buy a dog bed the cost $87. She earns $6 per week for doing chores. How many weeks will Niki have to do her chores
Viktor [21]

Answer:

The answer to your question is 14.5 weeks

Step-by-step explanation:

Data

Total cost = C = $87

money earned = m = $6

Number of weeks to have the money = w = ?

Process

1.- Write an equation that represents the situation

            Weeks = Total cost / Money earned

             w = C/m

2.- Substitute the values

             w = 87 / 6

3.- Result

             w = 14.5

4.- Conclusion

Niki will last 14.5 weeks to have enough money to buy a dog bed.

7 0
3 years ago
HELP PLEASE!!! 30POINTS
goblinko [34]

Here are table and graph on the same page.

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7 0
3 years ago
Read 2 more answers
-3x+4y=-10 in y=mx+b
belka [17]
Y = 3/4x -5/2

Hope this helps!
8 0
3 years ago
A guitarist sets a goal to practice 200 minutes each week. If he only is going to practice 5 days during the week, which of the
vodomira [7]

Answer:

40

Step-by-step explanation:

40x5=200

200 divided by 5 =40

5 0
2 years ago
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