<u>Given</u> -
- If l || m, m∠1 = (13x + 24)°, and m∠2 = (5x-6)°,
<u>To find</u> -
<u>Concept</u> -
Whenever two parallel lines are cut by a transversal, an interesting relationship exists between the two interior angles on the same side of the transversal. These two interior angles are supplementary angles. Hence, according to the figure l and m are two parallel lines and t is the transversal intersecting them then ∠1 + ∠2 = 180°.
<u>Solution</u> -









m∠2 = (5x-6)° = {5(9) - 6}° = {45 - 6}°= 39°
Henceforth, m∠2 = 39°
7x - 1 = 4x + 8
3x = 9
x = 9
ABD
7(3) - 1
21 - 1
20
DBC
4x + 8
4(3) + 8
12 + 8
20
3x - 17 + x + 40 + 2x - 5 = 180
6x + 18 = 180
6x = 198
x = 33
3(33) - 17
99 - 17
82
33 + 40
73
2(33) - 5
66 - 5
61
Answer:
use formula y2-y1/x2-x1
Step-by-step explanation:
=8-5/3-4
=3/-1
=-3
Part A:
To determine the amount of money in Euros that the team will get, we use the original amount given, the proper dimensional analysis and the conversion factor. For this item,
(£135) x (€1 / £0.72) = €187.5
<em>ANSWER: €187.5</em>
Part B:
Convert first the given length of the arena's stage in centimeters by using the conversion factor, 1 m = 100 cm
(8 meters) x (100 cm/1 m) = 800 cm
Since, both sides will be occupied by 130-cm speaker,
remaining length = 800 - 2(130 cm)
remaining length = 540 cm
<em>ANSWER: 540 cm or 5.4 m</em>
<em> </em>