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IRINA_888 [86]
3 years ago
7

. If ON = 4x – 6, LM = 3x + 5, NM = x – 4, and OL = 4y – 3, find the values of x and y for which LMNO must be a parallelogram.

Mathematics
1 answer:
Verizon [17]3 years ago
5 0
In a parallelogram, opposite sides are congruent.

This means that
LM = ON
NM = OL

Using the equations, find x and y:
4x - 6 = 3x + 5
4x = 3x + 11
1x = 11
x = 11

x - 4 = 4y - 3
x - 1 = 4y
-1 = 3y
-1/3 = y

The values are:
x = 11
y = -1/3
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5a + 4b^2<br> (if a = -11 and b = 3)
Degger [83]
5(-11)+4(3)^2 = -19
The answer is -19
8 0
3 years ago
Solve for x. Round to the nearest hundredth if necessary.
I am Lyosha [343]

Answer:

Step-by-step explanation:

\frac{19}{x} = tan 29°

x = \frac{19}{tan29^o} ≈ 34.28

4 0
2 years ago
Solve for |2x + 4|-1=7
Rudik [331]

Answer:

x = - 6 or x = 2

Step-by-step explanation:

The absolute value function always returns a positive value. However, the expression inside can be positive or negative.

Given

| 2x + 4 | - 1 = 7 ( add 1 to both sides )

| 2x + 4 | = 8, thus

2x + 4 = 8 ( subtract 4 from both sides )

2x = 4 ( divide both sides by 2 )

x = 2

OR

-(2x + 4) = 8

- 2x - 4 = 8 ( add 4 to both sides )

- 2x = 12 ( divide both sides by - 2 )

x = - 6

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.

x = 2 → | 4 + 4 | - 1 = | 8 | - 1 = 8 - 1 = 7 ← True

x = - 6 → | - 12 + 4 | - 1 = | - 8 | - 1 = 8 - 1 = 7 ← True

Hence the solutions are x = - 6 or x = 2

6 0
3 years ago
Please help been stuck on this for 40 minutes
choli [55]

we have given y interms of x.

we have given that add 2 to x.

which means y=x+2

so we have x=2 ,y=x+2=2+2=4.

so when x=2 ,y=4.

x=4,y=x+4=4+2=6..

y=x+2,y=6+2=8.

3 0
3 years ago
Read 2 more answers
Can we please have some help
Natalka [10]
I believe A=2 and B=6, sorry if I’m wrong
3 0
2 years ago
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