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andre [41]
3 years ago
6

Which is the correct label of the parallel lines?

Mathematics
1 answer:
liq [111]3 years ago
6 0

Answer:

a ∥ b

Step-by-step explanation:

The symbol "∥" means parallel lines.

Taking a look at the figure above, we have 2 parallel lines, labelled a and b.

A and B are two points on line "a", forming segment AB. However, segment AB is part of line "a".

Same applies to line "b", which has 2 points forming segment CD.

Therefore, the correct label if the parallel lines is a ∥ b

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For this graph, mark the statements that are true.
Goshia [24]

Answer:

B

Step-by-step explanation:

Just answer it

BBSJSSJJSNSNNSOAOOALAKA

4 0
3 years ago
What is the x-intercept of the graph of 2x-4y=7
Rainbow [258]

Answer:

To find the x-intercept you need to plug in 0 for the y value and solve for x.

Step-by-step explanation:

2x - 4y = 7

if y = 0

2x - 4(0) = 7

Now solve to find the value of x.

7 0
2 years ago
Towers A and B are located 5 miles apart. A ranger spots a fire at a 42-degree angle from tower A. Another fire ranger spots the
lord [1]

Answer: The fire is 3.5 miles from tower B

Step-by-step explanation: Please refer to the attached diagram. The triangle in the attached diagram illustrates the clues given in the question. Both rangers are standing at points A and B respectively with a distance of 5 miles between them, which is line AB. Also, one ranger spots a fire from a tower at an angle of 42 degrees, which is point A. Another ranger spots the same fire from another tower, but from an angle of 64 degrees, which is point B. The fire is at point C on the triangle. Now we have a triangle with only one side known (5 miles) and three angles known (the third angle is computed as 180 - {64+42} which equals 74) which are 64 degrees, 42 degrees and 74 degrees.

The distance from the fire to tower B is calculated using the law of sines. (Note that this is not a right angled triangle, hence we cannot use trigonometric ratios). The law of sines is expressed as follows;

a/SinA = b/SinB or

a/SinA = c/SinC

Depending on the sides and angles we are given and the ones we are to calculate.

The distance from the fire to tower B is line BC, labeled as a in our diagram. Using the law of sines

a/SinA = c/SinC

(Note also that a is directly facing angle A, c is directly facing angle C, and so on)

a/SinA = c/SinC

a/Sin 42 = 5/Sin 74

By cross multiplication we now have

a (Sin 74) = 5 (Sin 42)

Divide both sides of the equation by Sin 74 and we now arrive at

a = 5 (Sin 42)/Sin 74

a = 5 (0.6691)/0.9613

a = 3.3455/0.9613

a = 3.4802

{rounded to the nearest tenth of a mile, a equals 3.5}

Therefore the distance from tower B to the fire is approximately 3.5 miles

3 0
3 years ago
Which ordered pair is a solution of the equation?
SSSSS [86.1K]

Answer:

(a)

Step-by-step explanation:

To determine if the points are a solution to the equation.

Substitute the coordinates of the point into the left side of the equation and if equal to the right side then they are a solution.

(2, 5)

- 3(2) + 4(5) = - 6 + 20 = 14 ← True

(4, 6)

- 3(4) + 4(6) = - 12 + 24 = 12 ← False

Thus (2, 5) is the only solution to the equation → (a)

3 0
3 years ago
On Saturday Ricardo drank a total of 40 fluid ounces of water.If he drank''m''fluid ounces of water that morning,which equation
Varvara68 [4.7K]

Answer:

n = ( 40 - m )

Step-by-step explanation:

On a particular day, Ricardo drank a total of 40 fluid ounces of water.

If he drank m fluid ounces of water in the morning of that day, then the number of fluid ounces of water he drank the rest of the day is given by (40 - m) fluid ounces.

If n represents the number of fluid ounces water that he drank the rest of the day, then we can write the equation as  

n = ( 40 - m )

Therefore, the above equation can be used to find n. (Answer)

5 0
3 years ago
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