Find the value of x on this triangle
1 answer:
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Answer:
<u>Properties that are present are </u>
Property I
Property IV
Step-by-step explanation:
The function given is where b > 1
Let's take a function, for example,
Let's check the conditions:
I. As the x-values increase, the y-values increase.
Let's put some values:
y = 2 ^ 1
y = 2
and
y = 2 ^ 2
y = 4
So this is TRUE.
II. The point (1,0) exists in the table.
Let's put 1 into x and see if it gives us 0
y = 2 ^ 1
y = 2
So this is FALSE.
III. As the x-value increase, the y-value decrease.
We have already seen that as x increase, y also increase in part I.
So this is FALSE.
IV. as the x value decrease the y values decrease approaching a singular value.
THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.
This is TRUE.
Option I and Option IV are true.
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°.
