Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.
Therefore, even if
is dilated to
by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle
will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.
Please note that this is true for all two dimensional geometric shapes.
Answer: 3053.6 in^3
To find the volume of a sphere, you first must identify the formula: (4/3)pi(r)^3
You’re given the radius 9 inches
And you’re also given the pi approximation 3.14.
With that in mind, we can plug those variables in the formula to get:
(4/3)(3.14)(9in)^3 = 3053.63 in^3
And rounded to the tenths place:
3053.6 in^3
Answer is x = 98
See picture attached. First I finished the transversal line across the parallel lines. Then I used opposite interior angle theorem to find the 144 deg. Angle. Then I found the 36 degree angle in the triangle (180-144=36). Then I found the third angle in the triangle using the 180 degree supplementary angle theorem again, all three add up to 180, so 180-62-36= 82. Vertical angles are congruent so the opposite angle of 82 is also 82. Then I could find “x” using the 180 degree supplementary angle theorem again. 180-82= 98. Problem solved.
Answer:
option b is correct answee