All categories

3 years ago

If ON= 5x - 7, LM = 4x+ 4, NM = x -7, and OL =3y-4, find the values of c and y for which LMNO MUST BE a parallelogram.

Mathematics

1 answer:

Sholpan [36]3 years ago

4 0

Answer:

x=11, y=8/3

Step-by-step explanation:

Consider quadrilateral LMNO. If this quadrilateral MUST BE a parallelogram, then

LM=NO

and

LO=MN

Thus,

$\left\{\begin{array}{l}4x+4=5x-7\\ \\x-7=3y-4\end{array}\right.$

Solve this system of two equations. From the first equation:

$4x-5x=-7-4\\ \\-x=-11\\ \\x=11$

Substitute it into the second equation:

$11-7=3y-4\\ \\3y-4=4\\ \\3y=4+4\\ \\3y=8\\ \\y=\dfrac{8}{3}$

You might be interested in

help me please!!! i will mark brainliest on the first one to answer :)) (that's not a scam) picture question

CaHeK987 [17]

Answer:

The answer is "B"

Hope it helps you :D

BE SAFE!

5 0

2 years ago

Read 2 more answers

The perimeter of the fig

mr_godi [17]

4+16+10+5+11+6=52yd
Hope I helped

5 0

2 years ago

Read 2 more answers

What is the experimental probability that a coin toss results in two heads showing?

satela [25.4K]

I can answer without knowing how many coins you are tossing

8 0

2 years ago

Please help!

postnew [5]

Lets solve the equation first:
 0.5 – |x – 12| = –0.25
= 1/2 - |x - 12| = -1/4
= 2 - 4|x - 12| = -1
= 4|x - 12| = 3
= |x - 12| = 0.75
positive case, x >= 12
x - 12 = 0.75
x = 12.75
negative case, x < 12
x - 12 = -0.75
x = 11.25
So those are the two solutions.
These apply:
1.) The equation will have no solutions.
2.) A good first step for solving the equation is to subtract 0.5 from both sides of the equation.
3.) A good first step for solving the equation is to split it into a positive case and a negative case.
5.) The negative case of this equation is x – 12 = –0.75.

7 0

3 years ago

Read 2 more answers

20 POINTS! WILL MAKE BRAINLIEST

SVETLANKA909090 [29]

1.a sphere with a radius of three units

By definition, the volume of a sphere is:
$V = ( \frac{4}{3} ) (\pi) (r ^ 3)
$
Substituting values we have:
$V=(\frac{4}{3})(\pi)(3^3)$
Rewriting we have:
$V = (4) (\pi) (3 ^ 2)

V = (4) (\pi) (9)

V = 36\pi$

2.a cone with a diameter of twelve units and a height of three units

By definition, the volume of a cone is given by:
$V = \frac{1}{3} (\pi) (r ^ 2) (h)
$
Substituting values we have:
$V = \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3)
$
Rewriting we have:
$V = (\pi) (6 ^ 2)

V = 36\pi$

6 0

2 years ago