If ON = 8x – 8, LM = 7x + 4, NM = x – 5, and OL = 3y – 6, find the values of x and y for which LMNO must be a parallelogram. The diagram is not drawn to scale. pic and medal
If ON = 8x – 8, LM = 7x + - 1

Answers

Answer 1
Answer: The right answer for the question that is being asked and shown above is that: 

ON = 8x – 8
LM = 7x + 4
NM = x – 5
OL = 3y – 6

OL = NM
3y – 6 = x – 5
3y = x - 6 + 5
3y = x - 1
y = 1/3x - 1/3

ON = LM
8x – 8 = 7x + 4
x = 12
y = 1/3x - 1/3
y = 1/3(12) - 1/3
y = 4 - 1/3
y = 11/3

So the answer is
x = 12
y = 11/3


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How many equations in the same variables must be in a set to solve a system of linear equations?

Answers

Answer:

For a unique solution, there must be as many consistent, independent equations as there are variables.

Step-by-step explanation:

Each equation lets you write an expression for one variable in terms of the others in that equation. That expression can be substituted throughout the system, reducing the number of equations and variables by one each.

After n-1 such substitutions in a system of n equations, there will be one equation left. If that is an equation in one variable, then the solution to the system can be easily found. If more than one variable remains (> n variables in n equations), then the system cannot be solved for definitive values of each of the variables.

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Is the following relation a function?two ovals, one labeled x and the other labeled y. The negative 2 in the x oval is pointing to the 5 in the y oval, the 0 in x is pointing to 1 and 3 in y, 5 in x pointing to 8 in y, and 7 in x pointing to 5 in y

Yes

No

Answers

The answer is No.
Because the 0 in x oval is pointing to BOTH 1 and 3 in y oval.
And that must not happen in order to relation be a function.
The following conditions must be satisfied for relation to be a function:
1. condition: EVERY element in first oval has to be connected to some element in second oval.
2. condition: Elements in first oval MUST NOT have more than one connection with elements in second oval.

The answer is B (no)

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Answers

Answer:

Step-by-step explanation:

x=intercept is when the line intersect with the x axis when y=0

6: x intercept (1,0)

y intercept is when the line intersect with y axis at certain point or when x=0

y intercept (0.-24)

5: (0,-4) the y intercept

 ( 25,0) is the x intercept

21: (0,20) y intercept

    (6,0) x intercept

22: (8,0) x intercept

(0 , 4) the y-intercept

Compare and contrast the perpendicular bisectors and angle bisectors of a triangle. How are they alike? How are they different?

Answers

They are alike because they both divide something.. They are different because one perpendicular bisector divides one side of the triangle into two equal lengths at a 90 degree angle. So if there's is three perpendicular bisectors, then it splits all three sides the triangles into equal lengths. Angle bisectors splits an angle of a triangle into two even degrees.

Answer:

Step-by-step explanation:

The perpendicular bisectors and angle bisectors are alike in one manners that they both divide the entities they are drawn at.

Perpendicular bisector bisect the sides of triangle in two equal halves and angle bisectors divides the angles to which they are drawn in two equal halves.

The difference is that ,

the point at which perpendicular bisectors meet, is the center of circumcircle which is drawn through the vertices of triangle

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A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air Force Base in England is 2,567 miles. How long would it take the aircraft, traveling at top speed the entire route, to make the trip from Tyndall to Lakenhealth? Round to the nearest half hour.

Answers

Answer: 3.5 h

Step-by-step explanation:

1. Data:

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

2. Equation:

  • speed = distance / time
  • s = d / t

3. Solution:

  • Solve the equation for t:

        s = d / t ⇒ t = d / s

  • Substitute values:

        t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

   

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Answers

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