Answer:
m∠QPM=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠NPQ=m∠MPN+m∠MPQ
we have
m∠NPQ=(9x-25)°
m∠MPN=(4x+12)°
m∠MPQ=(3x-5)°
substitute the given values and solve for x
(9x-25)°=(4x+12)°+(3x-5)°
(9x-25)°=(7x+7)°
9x-7x=25+7
2x=32
x=16
Find the measure of angle QPM
Remember that
m∠QPM=m∠MPQ
m∠MPQ=(3x-5)°
substitute the value of x
m∠MPQ=(3(16)-5)=43°
therefore
m∠QPM=43°
Answer:64.622604
Step-by-step explanation:
Answer:
3/2 x-5
Step-by-step explanation:
Since there are
in a circle, and central
, you can see that the part "sliced out" by the central angle is
of the whole circle.
This means that the length of the intercepted arc
is
of the circumference of the circle. So,
We want to solve
Subtract 2/(2x+1) from each side.
Add 1/4 to each side, and simplify the left side.
Cross multiply.
4(x - 2) = 1(2x + 1)
4x - 8 = 2x + 1
Simplify and solve for x.
4x - 2x = 1 + 8
2x = 9
x = 9/2 or x = 4 1/2.
Answer:
