Which expression is equivalent to 2/3(−7 +−5) ?
1 answer:
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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;
- <u>x = 11°</u>
- <u>m∠N = 59°</u>
- <u>m∠O = 121°</u>
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°
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:
∠BDC and ∠AED are right angles, is a piece of additional information is appropriate to prove △ CEA ~ △ CDB
Triangle AEC is shown. Line segment B, D is drawn near point C to form triangle BDC.
Similar triangles, are those triangles which have similar properties,i.e. angles and proportionality of sides.
Image is attached below,
as shown in figure
∡ACE = ∡BCD ( common angle )
∡AED = ∡BDC ( since AE and BD are perpendicular to same line EC and make right angles as E and C)
∡EAC =- ∡DBC ( corresponding angles because AE and BD are parallel lines)
Thus, △CEA ~ △CDB , because of the two perpendiculars AE and BD.
Learn more about similar triangles here:
brainly.com/question/25882965
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