Diagonals of a parallelogram bisect each other. It is not relevant that PN=9. since AO=4 then AM=4
Answer:
x = 88
Step-by-step explanation:
All angles in a triangle equal 180 degrees. So our equation will be:
x + 48 + (x - 44) = 180
x + 48 + x - 44 = 180
2x + 48 - 44 = 180
2x + 4 = 180
2x = 176
x = 88
Hope this helps!
PART A
The geometric sequence is defined by the equation

To find the first three terms, we put n=1,2,3
When n=1,



When n=2,



When n=3



The first three terms are,

PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,



PART C
To find

We substitute n=11 into the equation of the geometric sequence.

This implies that,


Answer:
m<4 = 34°
Step-by-step explanation:
m<2 = 34° (given)
m<3 + m<2 = 180° (linear pair)
m<3 + 34° = 180° (substitution)
Subtract 34° from each side
m<3 = 180° - 34°
m<3 = 146°
m<4 + m<3 = 180° (linear pair)
m<4 + 146° = 180° (substitution)
Subtract 146° from each side
m<4 = 180° - 146°
m<4 = 34°
This shows that vertical angles are congruent.
m<2 and m<4 are vertical angles formed when two straight line intersects. They are both of equal measure.