Answer:
2
Step-by-step explanation:
Slopes of perpendicular lines are NEGATIVE RECIPROCAL to each other
namely, if say one has a slope of a/b then the other will have a slope of
![\bf slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}](https://tex.z-dn.net/?f=%5Cbf%20slope%3D%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20negative%5Cimplies%20%20-%5Ccfrac%7Ba%7D%7B%7B%7B%20b%7D%7D%7D%5Cqquad%20reciprocal%5Cimplies%20-%20%5Ccfrac%7B%7B%7B%20b%7D%7D%7D%7Ba%7D)
what the dickens does that mean?
well, it means that their product is
![\bf \cfrac{a}{b}\cdot \cfrac{-b}{a}\implies -1](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7Ba%7D%7Bb%7D%5Ccdot%20%5Ccfrac%7B-b%7D%7Ba%7D%5Cimplies%20-1)
so... in this case, one has a slope of 3/4 and the other has a slope of d/2
thus
1) -3
2) -5
3) -7
4) -9
Explanation:
Arithmetic Sequence Formula
a(n) = a1 + (a - 1) (d)
a= term position
a(n)= nth term
a1= first term
Answer:
2
Step-by-step explanation:
C is too small to have more.
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°.