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astraxan [27]
4 years ago
10

Lines c and d are parallel lines cut by transversal p. Which much be true by the corresponding angles theorem?

Mathematics
2 answers:
Natali [406]4 years ago
6 0

Answer:

Therefore, option B. is correct.

Step-by-step explanation:

Lines c and d are parallel lines and  transversal p is intersecting them at two different points.

By the theorem of corresponding angles following angles will be the corresponding angles.

(1) ∠ 1 = ∠ 5

(2) ∠ 2 = ∠ 6

(3) ∠ 8 = ∠ 4

(4) ∠ 7 = ∠ 3

Therefore, option B. is correct.

Flura [38]4 years ago
4 0
Hello!
The corresponding angle theorem states that if two parallel lines are cut my a transversal, then the corresponding angles are congruent. Therefore, the correct answer is:
B. ∠2 = ∠6

If this was correct, please give it 5 stars!
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Contains the point (-1, 2) and is parallel to<br> x – 2y = -3
ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x - 2y = - 3 into this form

Subtract x from both sides

- 2y = - x - 3 ( divide all terms by - 2 )

y = \frac{1}{2} x + \frac{3}{2} ← in slope- intercept form

with m = \frac{1}{2}

• Parallel lines have equal slopes, thus

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - \frac{1}{2} + c ⇒ c = 2 + \frac{1}{2} = \frac{5}{2}

y = \frac{1}{2} x + \frac{5}{2} ← in slope- intercept form

Multiply through by 2

2y = x + 5 ( subtract 2y from both sides )

0 = x - 2y + 5 ( subtract 5 from both sides )

- 5 = x - 2y, thus

x - 2y = - 5 ← in standard form

4 0
4 years ago
Which of the following is a solution of 4x2 = − 9x − 4? (2 points) 9 plus or minus the square root of 17 divided by 8. negative
NemiM [27]

Answer:

4x^2 + 9x + 4 = 0

Using the quadratic formula:

x = [-9 +- sqrt(81 - (-64)] / 2 * 4

x = [-9 +- sqrt (145)] / 8

So, the solution is your second answer:

negative 9 plus or minus the square root of 145 divided by 8.

5 0
4 years ago
Read 2 more answers
Plz help it’s due rn!!
yKpoI14uk [10]

Answer:

3. angles forming a linear pair to sum to 180

4. Def of supplementary angles

6 0
3 years ago
Please help me! Write an equation in point-slope form of the line that passes through the given point and has the given slope.
andriy [413]

9514 1404 393

Answer:

  1. y -3 = 5(x -1)
  2. y +1 = -3(x +2)
  3. y +7 = -1/4(x -4)

Step-by-step explanation:

When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.

  y -k = m(x -h) . . . . . . point (h, k), slope m

__

1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5

2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3

  note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2

3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4

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3 years ago
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storchak [24]
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