If segment PD is parallel to segment CR then triangle PDX is similar to triangle CRX, due to angle PXD and angle CXR being congruent by the vertical angle theorem, and angle PDX and angle CRX being congruent by the alternate interior angle theorem, these 2 triangles are similar by the A.A similarity postulate.
Answer:
x=16 and y=9
Step-by-step explanation:
2y+30=3y+21[Diagonals of parallelogram are equal]
30-21=3y-2y
y=9
3y=2x-5[Diagonals of parallelogram are equal]
3×9=2x-5
27=2x-5
2x=27+5
x=32/2=16
Answer:
The final integration in the given limits will be 89.876
Answer:
∠ACB= 57°
AB= 8.80 units (3 s.f.)
AC= 10.1 units (3 s.f.)
Step-by-step explanation:
Please see attached picture for full solution.
Answer:
g = 61.
Step-by-step explanation:
g + 9 = 70 Subtract 9 from both sides of the equation:
g + 9 - 9 = 70 - 9
g = 61.
