Answered

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LMNO is a parallelogram, with and . Which statements are true about parallelogram LMNO? Select three options.

x = 11
m∠L = 22°
m∠M = 111°
m∠N = 59°
m∠O = 121°






a
There was a major drop in consumption of alcohol from 1928 to 1929.
b
There was no change in alcohol consumption during the years of Prohibition.
c
Consumption of alcohol was on the rise prior to ratification of the 18th Amendment.
d
During the years of Prohibition there was an increase in alcohol consumption.

Sagot :

In the parallelogram, m∠M is equal to m∠O, and the sum of m∠M and

m∠N is 180°.

Response:

The true statements are;

  • x = 11°
  • m∠N = 59°
  • m∠O = 121°

Which property of parallelogram are used to find the true statements?

The possible drawing of the parallelogram LMNO created with MS Visio is attached.

From the drawing, we have;

m∠M = 11·x

m∠N = 6·x - 7

The properties of a parallelogram are;

Opposite angles are equal.

Adjacent angles are supplementary

Which gives;

11·x + 6·x - 7 = 180°

17·x = (180 + 7)° = 187°

[tex]x = \mathbf{\dfrac{187^{\circ}}{17} }= 11^{\circ}[/tex]

m∠M = 11 × 11° = 121° = m∠O

m∠N = 6 × 11° - 7 = 59° = m∠L

Therefore;

The statements that are true are;

  • x = 11°
  • m∠N = 59°
  • m∠O = 121°

Learn more about the properties of a parallelogram here:

https://brainly.com/question/7697302

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