△RST ∼ △XYZ.
m∠R = 18°
, m∠S = 75°
. What are the measures of angles X
, Y
, and Z
?
Since △RST and △XYZ are similar, the corresponding angles are equal. Therefore, we have:
m∠X = m∠R = 18°
m∠Y = m∠S = 75°
Since the sum of the angles in a triangle is 180°, we can find the measure of angle Z:
m∠Z = 180° - m∠X - m∠Y
m∠Z = 180° - 18° - 75°
m∠Z = 87°
If you want to dilate a figure that has a side length of 20 yards, to create a dilated image with a corresponding side length of 15 yards, what scale factor should you use?(1 point)
Responses
43
4 thirds
34 yard
34 yard
34
3 fourths
5 yards
To find the scale factor, divide the corresponding side length of the dilated image by the corresponding side length of the original image:
Scale factor = Corresponding side length of dilated image / Corresponding side length of original image
Scale factor = 15 yards / 20 yards
Scale factor = 0.75 or 3/4
Therefore, the scale factor to dilate the figure is 3/4.