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creativ13 [48]
3 years ago
9

Given: angle 3 and angle 5 are supplementary Prove: Line l is parallel to line m

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0
Since line l and line m are cut by the transversal and angle 3 and 5 are supplementary, that means they are consecutive interior angles which proves that the two lines are parallel.
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Write an equation, one is standard form, one is slope-intercept form, with a slope of 1.
Finger [1]

Answer:

y= 3x +2

y = 4x +.26

y= -6x +3

y= -x +12

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Cassandra and Yvette each have a calculator. Yvette starts at a 100 and subtracts 7 each time. Isandro starts at zero and adds 3
34kurt
This can be be solved the following way:
Yvette starts at 100 and subtracts 7 k times, as for Cassandra (or Isandro, the question is not clear on this) she starts at 0 and presses adds 3 k times. This leads to the following equation:
100-7k=3k
100=10k
\\
10=k
So for k=10 they will both display the same number.
We can now either choose the viewpoint of Cassandra or Yvette:
If we chose Yvette then we'll have 100-7*10=30 and for Cassandra we have, 3*10=30.
8 0
3 years ago
The distance between river city and pine bluff is 6 inches what is the scale of the map
son4ous [18]
The distance between pine bluff and river city is approx. 535.1 miles ( i had to search this up because without that information you cant find out your scale). 535.1 miles is 2 825 328 feet (or 535.1 X 5 280, because there are 5280 feet in a mile), and 2 825 328 feet is <span>33 903 936 inches (or 2 825 328 X 12, because there are 12 inches in a foot). Now if you take 33 903 936, and divide it by 6, which was how many inches were shown on your map, you get </span><span>5 650 656. and so, the scale on your map is 1:5 650 656, or for every 1 inch on your map, there are 5 650 656 inches in real life.</span>
8 0
3 years ago
What is the solution of the system of equations?
umka21 [38]

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20 ⇒ 2nd answer

Step-by-step explanation:

Let us revise the types of solutions of a system of linear equations

  • One solution
  • No solution when the coefficients of x and y in the two equations are equal and the numerical terms are different
  • Infinitely many solutions when the coefficients of x , y and the numerical terms are equal in the two equations

∵ y = -2x + 5

- Add 2x to both sides

∴ 2x + y = 5 ⇒ (1)

∵ -5y = 10x + 20

- Subtract 10x from both sides

∴ -10x - 5y = 20

- Divide both sides by -5

∴ 2x + y = -4 ⇒ (2)

∵ The coefficient of x in equation (1) is 2

∵ The coefficient of x in equation (2) is 2

∴ The coefficients of x in the two equations are equal

∵ The coefficient of y in equation (1) is 1

∵ The coefficient of y in equation (2) is 1

∴ The coefficients of y in the two equations are equal

∵ The numerical term in equation (1) is 5

∵ The numerical term in equation (2) is -4

∴ The numerical terms are different

From the 2nd rule above

∴ No solution of the system of equations

No solution of the system of equations y = -2x + 5 and -5y = 10x + 20

Learn more:

You can learn more about the system of equations in brainly.com/question/6075514

#LearnwithBrainly

7 0
4 years ago
24% of what number is 12
spin [16.1K]
If you would like to solve 24% of what number is 12, you can do this using the following steps:

24% of what number is 12
24% of x is 12
24% * x = 12
24/100 * x = 12    /*100/24
x = 12 * 100 / 24
x = 50

Result: 24% of 50 is 12.
8 0
3 years ago
Read 2 more answers
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