Answer
1) The scale factor is 1:2
2) The measure of angle C is equivalent to 67.17
3) The measure of angle Z is equivalent to 75.96
4) AD=6 units
Step-by-step explanation:
1) We’re given the measurements of XY(2.5) and BC(5), which we know are similar. We can then divide 2.5/5 and conclude that the scale factor is 1/2.
2) We’re given the measurement of angle XYZ, which is also the measurement of angle y. Since angles in similar triangle are equivalent, if y(67.17)=c, then c must be equal to 67.17.
3) This is the same concept as number 2.
4) We know that WZ=AD. Since we’re given WX(3 units), we can use the scale factor to create an equation. 3/x=1/2. Then, we cross multiply. x=6, x=AD, AD=6