Answer:
<GDE= 55 ° <EDH=57°
Step-by-step explanation:
Note:
When an angles is bisected, the inital angles is seperated into two congruent angles.
Diction: congruent means equal




insert the missing variable
8 times 7 equals 56, subtract 1, it equals 55
6 times 7 equals 42, plus 15, it equals 57
I hope this helps, have a great day!
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°
To find the dollars per kilogram cost, find the cost for 1 kilogram. On the graph, it shows that at 1 kilogram, the cost is 3 dollars. Therefore, the cost is $3 per kilogram