Question

ABCD is a rhombus. 14. If AB=7.5, then BC= 15. Name all angles congruent to ∠1. 16. If mΔ3=40 q 44+4= 17. If m∠3=6x+16 and m∠4=8x, then x= Exs. 14-17 In △WYX,∠WXY is a right angle and XZ

is a median. 18. If YZ=8 41 ,XZ= 19. If XZ=12.5,WY= 20. If m∠1=30, then m∠2= and m∠3=

Answer 1

1. BC = 7.5

2. ∠1 is congruent to ∠3 and ∠4.

3. x = 7

4. YZ = 8.41, WY = 12.5

5. m∠2 = 60, m∠3 = 90

Step-by-step explanation:

In a rhombus, all sides are congruent. Therefore, if AB = 7.5, then BC must also be 7.5.

In triangles, angles opposite equal sides are congruent. In triangle WYX, ∠1 is opposite to XY, which is a median. So, ∠1 is congruent to both ∠3 and ∠4.

For angle measurements, if mΔ3 = 40, then 44 + 4 (as given in the question) equals 48. So, mΔ3 is 48.

In triangle WYX, if YZ = 8.41, it's opposite XZ, which is a median. If XZ = 12.5, then WY must also be 12.5, as medians in a triangle are divided into segments in a 2:1 ratio.

Finally, if m∠1 is 30 degrees, ∠2, being supplementary to ∠1, is 180 - 30 = 150 degrees. Since ∠3 is a right angle, m∠3 is 90 degrees.Answer:

Step-by-step explanation: