Answer:
See below.
Step-by-step explanation:
Start with triangle ABC with side BC lying on line n.
Draw a line through point A parallel to line n, and call it line m.
Angles 1 and 3 are alternate interior angle of parallel lines and are congruent.
Angle 2 and 4 are alternate interior angles of parallel lines and are congruent.
The sum of the measures of angles angles 1, BAC, and 2 is 180 since they lie on a line.
m<1 + m<BAC + m<2 = 180
Now we substitute in the angles we know are congruent by alternate interior angles (written above).
m<3 + m<BAC + m<4 = 180
Answer:
-$95
Step-by-step explanation:
If he deposits $230 in his bank account, that means he has $230 in it.
Then in order to withdraw $325 from his bank account, you have to subtract the two numbers.
So 230-325= -95
So thats why he has -$95 of value left in his bank account.
Answer:
1
Step-by-step explanation:
The sum of all five numbers in the list is 25.
According to the question,
The first number on my list of five numbers is 1, and the fifth is 5. The other figures are all one more than their two nearest neighbors' averages.
Let the list of numbers be 1,x,y,z,5.
As each of the other numbers is equal to one more than the average of its two neighbors.
x=(1+y)/2+1
2x=3+y -(1)
Similarly,
y=(x+z)/2+1
2y=x+z+2 -(2)
z=(y+5)/2+1
2z=y+7 -(3)
Multiply equation (2) by 2 and then substitute equations (1) and (3),
4y=3+y+y+7+4
4y=2y+14
2y=14
y=14/2
y=7
From equation (1),
2x=3+7
2x=10
x=5
From equation (3),
2z=7+7
2z=14
z=14/2
z=7
The list is: 1,5,7,7,5
Sum of the numbers of list = 1+5+7+7+5 = 25
Learn more about sum here:
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Answer:
Part A
Here the entire population is the total number of people who live in Scotland and the sample considered in this survey is the randomly chosen 34,572 people.
Part B
The approximations made out of the sample cannot be considered same as that of the entire population. Because here, only a random sample of 34,572 is taken whereas the total population here is the people who live in the Scotland, which can be quite large sample. The patient details recorded are used for survey. So in the sample surveyed we do not have the data about the rest of the population. The approximations made out of the sample become same as that of the entire population only if the entire population number is near to the randomly collected sample.