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°
The answer is 6 divide 145 into 9 you"ll get the length
Step-by-step explanation:
Given that,
A piece of buttered toast falls to the floor 17 times. The toast landed buttered side up 6 times.
It means that the total number of outcomes are 17
We need to find the probability that the toast lands buttered side down. Favourable oucome is 17-6 = 11
So, probability is given by :


So, the probability that the toast lands buttered side down is 11/17.
Cal's dog weighs approximately 94 pounds.
Answer:
In this example it seems that "a" is a fixed value that is added to adjust the scale value. . It seems that "b" is a factor that adjust the value of the ACT score as a predictor for success in the chosen field of study.
Step-by-step explanation: The scores from the SAT and ACT are not in the same format as GPA. So the scale needs adjustment. Also the tests measure different knowledge and skills. They may be more or less reliable as predictors of success in a given field of study, so the "b" factor would change for different majors.