Answer:
Denote the O, A, B, C, D as shown in attached image:
O is center of circle.
OA = OC = OD = radius of circle
=> triangle OAD is isosceles
=> BA = BD = 12.8
Applying Pythagorean theorem:
OB = sqrt(OA^2 - BA^2) = sqrt(15.1^2 - 12.8^2) = 8.0
=> x = OC - OB = 15.1 - 8.0 = 7.1
Hope this helps!
:)
<u>Given</u>:
Given that the triangle ABC is similar to triangle FGH.
We need to determine the value of x.
<u>Value of x:</u>
Since, the triangles are similar, then their sides are proportional.
Thus, we have;
Let us consider the proportion to determine the value of x.
Substituting AB = 9 cm, GF = 13.5 cm, BC = 15 cm and GH = x, we get;
Cross multiplying, we get;
Thus, the value of x is 22.5 cm
Hence, Option F is the correct answer.
Given:
The point is B(2,5) and its image is B'(1,2.5).
To find:
The scale factor.
Solution:
If a figure is dilated by the scale factor k and (0,0) is the center of then the scale factor is defined as
x-coordinate of point B' is 1 and the x-coordinate of point B is 2. So, the scale factor is
Therefore, the scale factor is and the correct option is D.