Answer:
x = 12
Step-by-step explanation:
The figure in the question was split into the triangles in the attachment to the solution.
Now applying the principle of similar triangles, we have:
![\frac{16}{x} = \frac{x}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7Bx%7D%20%3D%20%5Cfrac%7Bx%7D%7B9%7D)
cross-multiplying, we have:
![x^{2} = 16*9 = 144](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%3D%2016%2A9%20%3D%20144)
solving for x,
x = 12
<h2>
Answer:</h2>
Option C
<h2>
Step-by-step explanation:</h2>
When you rotate a point you could rotate it in Clockwise direction because that's how the hand of a clock move, or rotate it in Counterclockwise direction that's the opposite rotation. In math, counterclockwise is defined as being a positive rotation while clockwise is defined as being a negative rotation. Rotating a whole shape means we're rotating every point in the shape.
On the coordinate plane, consider the point (x,y). To rotate this point by 90° around the origin in counterclockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:
![(x,y)\rightarrow(-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%28-y%2Cx%29)
By applying this rule to every point we have:
![W(-4, -1) \rightarrow W'(1, -4) \\ \\X(-6, 1) \rightarrow X'(-1, -6) \\ \\ Y(-8, -1) \rightarrow Y'(1, -8) \\ \\ Z(-6, -3) \rightarrow Z'(3, -6)](https://tex.z-dn.net/?f=W%28-4%2C%20-1%29%20%5Crightarrow%20W%27%281%2C%20-4%29%20%5C%5C%20%5C%5CX%28-6%2C%201%29%20%5Crightarrow%20X%27%28-1%2C%20-6%29%20%5C%5C%20%5C%5C%20Y%28-8%2C%20-1%29%20%5Crightarrow%20Y%27%281%2C%20-8%29%20%5C%5C%20%5C%5C%20Z%28-6%2C%20-3%29%20%5Crightarrow%20Z%27%283%2C%20-6%29)
The figure below shows the original shape in green while the rotated shape is the one in red. As you can see, this figure matches the option C.
Answer:
58.25
Step-by-step explanation:
116.5 / 2
= 58.25
Hope this helps!!
-3b=9a=b-3
-3b=9a
b=-3a
9a=b-3
9a=-3a-3
so,a=-1/4
and b=3/4
solution set is(-1/4,3/4)