let's recall that corresponding angles are equal, thus 105° twins, also let's recall that a flat-line has 180°.
since the two sides stemming from Ɣ are twins, the angles they make at the base are also twins, bearing in mind that a triangle has a sum of all interior angles of 180°.
Answer:
Dilation factor = 0.75.
Step-by-step explanation:
One point on the xy-plane is (-24,-12). The transformation is the dilation which is done on the point and the image is given by (-18,-9). Dilation changes the size of the shape according to the dilation factor. If the original x-coordinate is -24, then the image will be calculated by multiplying the original point with the dilation factor. Therefore, -18= -24 * k, where k is the unknown dilation factor. Simply solve the equation for k.
24k = 18.
k = 18/24 = 3/4 = 0.75.
Similarly, 12k = 9. k = 9/12 = 3/4 = 0.75.
So the point (-24,-12) dilated by k=0.75 to get to (-18,-9)!!!
Since the traversal intersects two parallel lines, the corresponding angles are congruent. Set both expressions equal to each other and you get x=6
Answer:
50.24 inches
Step-by-step explanation:
3.14 * 16
= 50.24
