1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
steposvetlana [31]
3 years ago
14

Which statement best explains the relationship between

Mathematics
1 answer:
Nataly [62]3 years ago
7 0

Answer:

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal" ⇒ A

Step-by-step explanation:

  • Parallel lines have equal slopes and different y-intercepts
  • The rule of the slope of a line passes through points (x1, y1) and (x2, y2) is m = \frac{y2-y1}{x2-x1}

In the given figure

∵ The blue line passes through points A and B

∵ A = (-4, -2) and B = (4, 4)

∴ x1 = -4 and y1 = -2

∴ x2 = 4 and y2 = 4

→ Substitute them in the rule of the slope

∵ m(AB) = \frac{4--2}{4--4} = \frac{4+2}{4+4} = \frac{6}{8} = \frac{3}{4}

∴ The slope of line AB is  \frac{3}{4}

∵ The green line passes through points C and D

∵ C = (0, -3) and D = (4, 0)

∴ x1 = 0 and y1 = -3

∴ x2 = 4 and y2 = 0

→ Substitute them in the rule of the slope

∵ m(CD) = \frac{0--3}{4-0} = \frac{0+3}{4} = \frac{3}{4}

∴ The slope of line CD is  \frac{3}{4}

∵ The slope of line AB = the slope of line CD

∵ Parallel lines have the same slope

∴ AB // CD

∴ AB and CD are parallel lines

The best statement which explains the relationship between lines AB and CD is "They are parallel because their slopes are equal"

You might be interested in
What number would be ten times greater than 0.05?
Nastasia [14]

Answer:

0.5?

Step-by-step explanation:

8 0
3 years ago
Ellen drove 357.9 miles. Her car gets about 21 miles per gallon. Which is the best estimate of how many gallons of gas Ellen use
olga55 [171]
The best thing to do is to divide the amount she has driven (357.9) by the miles (21)
As you're looking for an estimate, you have to round them.
357.9 rounds to 360
21 rounds to 20
Therefore, you've got to divide them
360/20= 18
Therefore, Ellen has driven approximately 18 miles
Hope this helps :)
7 0
3 years ago
Read 2 more answers
suppose the distnace in feet that an object travels t seconds is given by the formula d=64t^2 how far would the object travel af
Darya [45]

Answer:

The object travels 144,000,000 feet.

Step-by-step explanation:

The distance the object travel after t seconds is given by:

d(t) = 64t^2

How far would the object travel after 1.5 * 10^3 seconds

This is d when t = 1.5 \times 10^3 = 1500, so d(1500)

d(1500) = 64*1500^2 = 144000000

The object travels 144,000,000 feet.

8 0
3 years ago
What is the sum of the numbers as the product of their GCF and another sum ( 30+54)
hodyreva [135]
2x3=6. So the Greatest Common Factor (GCF) is 6
5 0
3 years ago
What is the equation of the line with a slope of -3 and passes through the point (-6,-3)
Taya2010 [7]

Answer:

f(x) = -3x - 21

Step-by-step explanation:

Graphed this equation and it passes through (-6, -3), also known as Point A.

7 0
2 years ago
Other questions:
  • 1. A number that is a factor of two or more numbers is a ________________.
    10·1 answer
  • What is the slope of a line perpendicular to y=4/3x+4
    14·1 answer
  • In a certain school,260 students were present on monday,270 on tuesday,280 on wednesday,and 250 on thursday find the average num
    5·1 answer
  • Which two ratios show a proportional relationship?
    14·1 answer
  • The life expectancy of computer terminals is normally distributed with a mean of 4 years and a standard deviation of 1 year. Wha
    13·1 answer
  • Help me please, I need ASAP!!!
    12·1 answer
  • PLEASE ANSWER I WILL GIVE BRAINIEST!!!!!!!!!!!!!!!
    9·2 answers
  • The volume of a cylinder is 5070 pi cm3. If the height is 30 cm, what is the radius?
    7·1 answer
  • What is the equation of a line in slope intercept formula that has a y-intercept at 5 and goes through the point (-5,1)?
    9·1 answer
  • The ratio of Victors money to Susies money is 4:7 at first. After Victor spent half of his money and Susie spent $60, Susie had
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!