The answer is -x(0.09375x-15).
The figure/drawing isn't needed to answer this question.
The question tells us ABCD ~ WXYZ, which means trapezoid ABCD is similar to WXYZ.
Point A corresponds to point W, B corresponds with X, C corresponds with Y, and D corresponds with Z (first, second, third, and last letters correspond with each other according to the similarity statement).
Now let's check each answer choice and see which applies to these similar trapezoids:
- Since point B corresponds with point X and the trapezoids are similar, they must be congruent angles. Thus, the first choice is correct.
- Point Y does not correspond with point A. Thus, it is possible the angles are not congruent. The second choice is incorrect.
- Point A corresponds with W and B corresponds with X. Thus, line segment AB will be similar to line segment WX. However, they are not equal. Thus, the third choice is incorrect.
- There's an equal sign in this choice, too, just like the last, and the two segments are corresponding line segments. Thus, the fourth choice is incorrect.
- This looks like the third choice, but with a similarity symbol instead of an equal sign. Now, the statement is true and the fifth choice is correct.
- This looks like the fourth choice but with a similarity instead of an equal sign. Now, the statement is true and the sixth choice is correct.
Let me know if you need any clarifications, thanks!
Answer:
Measure of the unknown angle is 21°.
Step-by-step explanation:
In the given question,
Measure of opposite side and the measure of hypotenuse have been given.
Therefore, we will use the trigonometric ratio for the unknown angle which has the ratio of opposite side and the hypotenuse.
Therefore, measure of the unknown angle is 21°.
