Answer:
From the sum of angles on a straight line, given that the rotation of each triangle attached to the sides of the octagon is 45° as they move round the perimeter of the octagon, the angle a which is supplementary to the angle turned by the triangles must be 135 degrees
Step-by-step explanation:
Given that the triangles are eight in number we have;
1) (To simplify), we consider the five triangles on the left portion of the figure, starting from the bottom-most triangle which is inverted upside down
2) We note that to get to the topmost triangle which is upright , we count four triangles, which is four turns
3) Since the bottom-most triangle is upside down and the topmost triangle, we have made a turn of 180° to go from bottom to top
4) Therefore, the angle of each of the four turns we turned = 180°/4 = 45°
5) When we extend the side of the octagon that bounds the bottom-most triangle to the left to form a straight line, we see the 45° which is the angle formed between the base of the next triangle on the left and the straight line we drew
6) Knowing that the angles on a straight line sum to 180° we get interior angle in between the base of the next triangle on the left referred to above and the base of the bottom-most triangle as 180° - 45° = 135°.
Answer:
1. 615.75
2. 9
Step-by-step explanation:
Answer: x= 26/3
Step-by-step explanation: Solve the rational equation by combining expressions and isolating the variable x.
Let's solve your equation!
4 + 2x
/6x = 12/5x
2x + 4/6x= 12/5x + 2/15
Multiply all terms by x and cancel:
- 2x + 4/6= 12/5
- 1/3x + 2/3 = 2/15x = 2/15x + 12/5 - 2/15x (Subtract 2/15x from both sides)
- 1/5x + 2/3 = 12/5
- 1/5x + 2/3 -2/3 = 12/5- 2/3 (subtract 2/3 from both sides)
- 1/5x = 12/5
- Multiply both sides by 5
- Check all your answers,
- x= 26/3
Answer:
9.4175
Step-by-step explanation:
Though we cannot exactly find PT, we can find it in terms of TQ.
Multiply the second equation by 7/6 to get 7TQ/6=7x-7/3. Subtracting 65/3 from both sides, we get 7TQ/6-65/3=7x-24. Since the right side is equal to PT, PT=7TQ/6-65/3.