Answer:
<u>AP = 13</u>
Step-by-step explanation:
See the attached figure.
CD = 10 and XY = 24
Line XY bisects and is perpendicular to AB and CD
∴ XY bisects at Y
∴ CY = 0.5 CD = 0.5 * 10 = 5
And from the geometry of the shape
P is the midpoint of XY
∴ XP = YP = 0.5 XY = 0.5 * 24 = 12
XY is perpendicular to CD
∴ ΔPYC is a right triangle at Y
∴ PC (hypotenuse) = 
From the figure AP = PC = 13
Answer:
x > 3
Step-by-step explanation:
Given 2 sides of a triangle then the third side x will be
difference of sides < x < sum of sides , that is
15 - 12 < x < 15 + 12, so
3 < x < 27
Thus x > 3
Answer:
123°, 57°, 123°
46°, 90°
Step-by-step explanation:
28. m∠L=57° ⇒ opposite angle m∠J=m∠L=57°
m∠M= m∠K= 180° -m∠L= 180° - 57°= 123°
29. m∠W= m∠X= 90°
m∠Y= 180° -m∠W= 180° - 134°= 46°