- The angles are supplementary angles
- The measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Find the diagram attached. From the figure, the sum of the angles m<1 and m<2 are supplementary
Given the following angles
m<1 = 2x + 6
m<2 = 3x + 9
Since both angles are supplementary, hence;
2x + 6 + 3x + 9 = 180
5x + 15 = 180
5x = 180 - 15
5x = 165
x = 165/5
x = 33
Get the measure of m<1;
m<1 = 2x + 6
m<1 = 2(33) + 6
m<1 = 66 + 6
m<1 = 72degrees
Get the measure of m<2:
m<2 = 180 - m<1
m<2 = 180 - 72
m<2 = 108degrees
Hence the measure of angle m<1 and m<2 are 72 and 108 degrees respectively
Learn more here: brainly.com/question/22309882
Answer:
1/380
Step-by-step explanation:
<u>Probability of Bob's name drawn first is:</u>
- 1/20 as there are 20 people with equal chance
<u>And probability of Laquisha's name drawn second is: </u>
- 1/19 as there are 19 people left with equal chance
<u>Probability of the two events happening is: </u>
- 1/20*1/19 = 1/380 product of individual probabilities
Answer:
Step-by-step explanation:
Answer:
3π sq.feet
Step-by-step explanation:
Area of the square = L²
L is the length of the square
Given
Area of the square = 12 ft square
12 = L²
L = √12
L = 2√3 feet
Since the circle is inscribed in the square, the length of the square will be the diameter of the circle;
Area of the circle = πd²/4
Area of the circle = π(2√3)²/4
Area of the circle = 12π/4
Area of the circle = 3π sq.feet
Answer:
d.
Step-by-step explanation:
Hello!
The objective of this test is to know if aerobic exercise modifies hippocampus activity. A random sample of 120 elderly men and women was taken and divided into two groups.
Group 1: Walked around a track three times a week.
Group 2: Did a variety of less aerobic exercises, including yoga and resistance training with bands.
After a year their brains were scanned showing that group 1 had an increase of 2% in their hippocampus and group 2 showed a decrease of 1.4%
a. True, this type of observational study can be the prelude to a more formal statistical study.
b. True, the explanatory variable is "type of exercise", it's the variable that the investigator suspects influence the hippocampus volume.
c. True, the objective of this experiment is to test if there is any modification on hippocampus volume, that's why the volume of the hippocampus was measured, before and after a year of exercise.
d. False, this is an observational study, you cannot establish a causal relationship between the two variables. Just inform you that there seems to be an association. To be able to generalize the results to all elderly population you need a more formal statistical experiment to support your conclusions.
I hope it helps!
