Answer:
Step-by-step explanation:
<h3>Question 5</h3>
The sides containing the given angles 37 and 84 are of same length:
one side is marked same, the second side is common.
<u>The sides opposite angles of 37 and 84 are proportional to those angles, therefore:</u>
<u>The first part:</u>
<u>The second part:</u>
- x + 14 < 6x - 16
- 5x > 30
- x > 6
<u>Combination of the two is:</u>
<h3>Question 6</h3>
<u>The triangles are isosceles, because:</u>
- The left triangle has two equal angles, so the opposite sides are congruent
- The common side with the right triangle is same as marked side, so the triangle on the right is also isosceles.
The angles between equal sides
<u>Left triangle:</u>
<u>Right triangle:</u>
<u>Since 40° < 48°, the opposite sides will have same inequality due to being proportional to angles:</u>
- 3x - 18 < 2(x + 22)
- 3x - 18 < 2x + 44
- 3x - 2x < 44 + 18
- x < 62
<u>Same time we know the side must be a positive number:</u>
<u>So the possible values of x are:</u>
- 6 < x < 62 or x = (6, 62)