∠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.
<h3> What are Similar triangles?</h3>
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.
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Answer:
5
Step-by-step explanation:
Arc length = r × theta
15 = 3 × theta
theta = 15/3
theta = 5 radians
Answer:
#4
<u>Exterior angles of a polygon sum to 360</u>
- 94 + 56 + 4.5x + x + 1.5x = 360
- 150 + 7x = 360
- 7x = 210
- x = 30
#5
<u>Sum of interior angles of a pentagon is:</u>
<u>Sum of interior angles of a given pentagon:</u>
- 72 + 3x + 89 + 99 + 2x = 540
- 5x + 260 = 540
- 5x = 280
- x = 280/5
- x = 56
By difference, the percentage of people who are not sure who to vote is 100% - 45% - 38% = 17%. The number of people who have not yet decided to whom their votes goes is the product of 1,500 and 17% in its decimal equivalent.
(1,500) x (0.17) = 255
Therefore, 255 have not yet decided who to vote.
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Answer:
7
Step-by-step explanation:
