Let point L be between M and N on MN. Given that MN=31, ML= h-15 and LN = 2h-8. Find LN

Answers

Answer 1
Answer: Since point L is merely found on the line MN, ML and LN are considered to be line segments. So adding both line segments should add up to line MN's total length which is 31 units. We can use the given relations to create a mathematical equation as follows:

Given: MN = 31; ML = h - 15; LN = 2h - 8

MN = ML + LN

Substituting the given values:
31 = h - 15 + 2h - 8
31 = 3h - 23

It is necessary to solve for the value of h. To do this, we must isolate h and solve for it:

Adding 23 to both sides of the equation:
31 + 23 = 3h - 23 + 23
54 = 3h
h = 18

Substituting the value of h to the equation of LN we get the following:
LN = 2(18) - 8
LN = 36 - 8
LN = 28

Therefore the value of LN is 28. 

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Write an equation that is parallel to 3x- 2y = 14 and passes through the point (-6, -11).

Answers

Answer:

Y=3/2x-2

Step-by-step explanation:

turn 3x-2y=14 into slope equation which would be y=3/2x-7 and. Since it's a parallel line u only need to change the y intercept do if u put it on a graph, the equation would be y=3/2x-2 bc it goes through the point (-6,-11) and is also parallel to the standard equation given.

In the step by step simplification of expression below which property is not used? 3(1+x)
3(x+1)
3(x)+3(1)
3x +3 

A) associative B) commutative C) distributive D) identity

Answers

 D) identity............
3(1+x)=3+3x\n 3(x+1)=3x+3\n 3(x)+3(1)=3x+3\n 3x +3\n\n Answer:D

Yuul ailswer is incorrect. Translate the sentence into an equation. Seven times the sum of a number and 2 is 6. Use the variable c for the unknown number.

Answers

I think the answer is
7(c+2)=6

A system of equations is shown below:y = 8x − 2
y = 9x − 7

What is the solution to the system of equations?

(−5, 38)
(−5, −38)
(5, 38)
(5, −38)

Answers

y = 8x - 2
y = 9x - 7

  8x - 2 = 9x - 7
- 8x       - 8x
        -2 = x - 7
      + 7      + 7
         5 = x

y = 8x -2
y = 8(5) - 2
y = 40 - 2
y = 38
(x, y) = (5, 38)

The answer is C.

Answer would be C (5, 38)

The drama teacher is making costumes for the school play. Each costume requires 1 and 2/3 yards of material and 3/4 of a yard of ribbon. Thematerial costs $2.99 per yard and the ribbon costs 59 cents per yard.
What is the approximate cost for 2 costumes
A. $11.95
B. $5.65
C. $9.00
D. $10.90

Answers

Answer:

c

Step-by-step explanation:

  1. round 2.99 and 59 cents
  2. multiply 60 times 2
  3. 3 times 2
  4. add

GIVING BRAINIEST!!!!An art shop is selling a painting for $250. John wants to wait until Memorial Day to purchase because the store is hosting a 20% off sale. How much will the painting cost at the sale price?

Answers

Answer:

is will cost 200 dollars by memorial dsy