Observation one
From the markings on the diagram <1 = 60o The left triangle is at least isosceles. Therefore equal sides produce equal angles opposite them.
Now we have accounted for 2 angles that are equal (each is 60 degrees) and add up to 120 degrees. The third angle (angle 2) is found from this equation.
<1 + 60 + <2 = 180 degrees. All triangles have 180 degrees.
60 + 60 + <2 = 180
Observation 2
<2 = 60 degrees.
120 + <2 = 180
m<2 = 180 - 120
m<2 = 60 degrees.
Observation 3
m<3 = 120
<2 and <3 are supplementary.
Any 2 angles on the same straight line are supplementary
60 + <3 = 180
<3 = 180 - 60
<3 = 120
Observation 4
m<4 = 40 degrees.
All triangles have 180 degrees. No exceptions.
m<4 + 20 +m<3 = 180
m<4 + 20 + 120 = 180
m<4 + 140 = 180
m<4 = 180 - 140
m<4 = 40
The number of teams she can make is 10.
<h3>How many teams can she make?</h3>
Division is the process of putting a number into equal groups using another number. The sign used to denote division is ÷. Division is one of the basic mathematical operations. Other basic mathematical operations include addition, subtraction, multiplication.
The number of teams that can be made can be determined by dividing the total number of friends by the total number of players in each team. The whole number that is derived from the division process is the number of teams teams that can be made given the total number of friends and the number of people that have to be in each group.
Number of teams she can make = total number of friends / number of people in each group
31 / 3 = 10 remainder 1
So, only 10 teams can be made. one person would not be on any team.
To learn more about division, please check: brainly.com/question/13281206
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Answer:
A
Step-by-step explanation:
4^3+7=4^10
Answer:
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
Step-by-step explanation:
A. <em>One has 90% confidence that the sample proportion is equal to the population proportion. </em>
Confidence interval gives an interval estimate, not an equality
B. <em>There is a 90% chance that the true value of the population proportion will fall between the lower bound and the upper bound. </em>
<em>Ture. </em>
<em>C.</em><em> One has 90% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion. </em>
Also true but <em>One has 90% confidence is not good interpretation. </em>
<em>D</em><em>. 90% of sample proportions will fall between the lower bound and the upper bound.</em>
<em>Lower bound and upper bound is given to estimate population proportion. </em>
Answer:
The price of one notebook is 2$
Step-by-step explanation:
3x + 2= 4x
Take x to the same side —> 4x-3x=2 —> x=2
