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CurlyheadShay
02.08.2019 •
Mathematics
The running time for movie a is 40 minutes more than twice the running time for movie b. if the running time for movie a is subtracted from triple the running time for movie b, the result is 45 minutes. find the running times for each movie.
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Ответ:
a = 2b + 40
Solve simultaneously.
3b - (2b + 40) = 45
3b - 2b - 40 = 45
b = 45 + 40
b = 95min (1 hour 35 min)
a = 2 (95) + 40
a = 230min ( 3 hour 50 min)
Ответ:
Here, Exterior angles are ∠1, ∠2, ∠7 and ∠8
Interior angles are ∠3, ∠4, ∠5 and ∠6
Corresponding angles are ∠
(i) ∠1 and ∠5
(ii) ∠2 and ∠6
(iii) ∠4 and ∠8
(iv) ∠3 and ∠7
Axiom 4 If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.
Thus, (i) ∠1 = ∠5, (ii) ∠2 = ∠6, (iii) ∠4 = ∠8 and (iv) ∠3 = ∠7
Alternate Interior Angles: (i) ∠4 and ∠6 and (ii) ∠3 and ∠5
Alternate Exterior Angles: (i) ∠1 and ∠7 and (ii) ∠2 and ∠8
If a transversal intersects two parallel lines then each pair of alternate interior and exterior angles are equal.
Alternate Interior Angles: (i) ∠4 = ∠6 and (ii) ∠3 = ∠5
Alternate Exterior Angles: (i) ∠1 = ∠7 and (ii) ∠2 = ∠8
Interior angles on the same side of the transversal line are called the consecutive interior angles or allied angles or co-interior angles. They are as follows: (i) ∠4 and ∠5, and (ii) ∠3 and ∠6