Answer:
Let the number be x.
Given the statement: The ratio of the measure of the three angles is, 4 : 5 : 6.
Then, the angles be 4x , 5x and 6x respectively.
We know that: The sum of all the measures of angles is 180 degree.
then;

Combine like terms;

Divide by 15 both sides we get;

Then, the measure of each angle of triangle:



Answer:
Part a
For the given study, the explanatory variable or independent variable is given as regularity or frequency of exercise. This variable is classify as categorical variable because variable is divided into two categories such as whether participant exercise 5 or more days a week or not.
Part b
For the given study, the response variable or dependent variable is given as frequency of colds. This variable is classified as quantitative variable because we measure the quantities or frequency of number of colds.
Part c
A confounding variable for this research study is given as incidence of upper respiratory tract infections that provides an alternative explanation for the lower frequency of colds among those who exercised 5 or more days per week, compared to those who were largely sedentary. This confounding variable is categorical in nature.
1) Here, QR = QP + PR
52 = 16 + PR
PR = 52 - 16 = 36
In short, Your Answer would be Option C
2) Slope of mentioned line:
m = (5+5) / (0-4)
m = 10/-4
m = -5/2
Parallel lines have same slope so it would be -5/2 as well
In short, Your Answer would be Option B
Hope this helps!
Answer:
12
Step-by-step explanation:
3 x 4
3 is how far the shape goes to the left.
4 is how far it goes to the bottom
you multiply the two numbers to cover the area