The <em><u>correct answers</u></em> are:
Supplementary; ∠2 and ∠3; substitution; 2.
Explanation:
Supplementary angles are angles whose measures sum to 180°. Thus this is the first answer.
Since we are told that ∠2 and ∠3 are supplementary, their measures sum to 180° and they are the second answer.
We know that m∠1 + m∠2 = 180° and m∠2 + m∠3 = 180°. We can substitute "m∠2 + m∠3" for 180° in the first equation; this is the substitution property.
To isolate m∠1 on the right, we will subtract m∠2 from each side, and get that m∠1 = m∠3 and the angles are congruent.
P(TeamA) = 0,43
P(Female) = 0,52
P(TeamA and Female) = 0,19
P(TeamA or Female) = ?
P(TeamA or Female) = P(TeamA) + P(Female) - P(TeamA and Female) <=>
P(TeamA or Female) = 0,43 + 0,52 - 0,19 <=>
P(TeamA or Female) = 0,76 or 76%
Answer: 1. False. [∠XFG is lying between the one side and the line extended to the next side of the triangle, therefore it is an exterior angle.]
2.True. [∠EFG is lying between the two sides of the ΔEFG, therefore it is an interior angle of the triangle]
3.True. [∠FEZ is lying between the one side and the line extended to the other side of ΔEFG ]
4.False. [∠YGE is a straight line it is between the one side and the line extended to the same side ∴ it cannot be an exterior angle of the triangle ]
5. True.[∠EGF and FGY together make a straight line therefore they are supplementary angles]
6.False.[∠FEG and ∠FGE are both the interior angles of a triangle and we know that for supplementary angles they should lie on the same line or together make a straight line]
Answer:
42 are female, 28 people study french, 16 do both.
Step-by-step explanation:
16 french girls + 11 german + 16 spanish = 43 females
12 male french + 16 female french = 28
16 are under both catagories.
Cant help you with the probability
35/100 = 0.35
0.35 x 125 = 43.75
43.75 litres per day