Answer:
(A) At the intersection of the first line with the third line, the bottom left angle is 115 degrees. At the intersection of the second line with the third line, the uppercase left angle is 65 degrees.
Step-by-step explanation:
Alternate interior angles are supplementary when parallel lines are crossed by a transversal. The first description seems to be describing alternate interior angles. (See attachment)
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<em>Comment on orientation</em>
If the transversal is oriented horizontally, then the descriptions of the angles will be of different angles than assumed here.
The total amount of people who ordered a large is 5 + 12 + 8 = 25 people.
The amount of customers who bought a large cold drink is 5.
The probability that someone bought a large cold drink is 5 out of 25 people.
This is 5/25 which is 1/5 which is .2
Convert the decimal to a fraction by multiplying by 100 and adding a percent sign at the end.
.2 x 100 = 20%
Edit:
The probability was supposed to be if the customer ordered a cold drink based on people who ordered large.
The amount of people who ordered a large drink is 22 + 5 = 27.
The amount of people who ordered a cold large is 5.
To find the percent, divide the people who ordered cold large by the total people who ordered large.
This would be 5/27 which in decimal form is .185185
To convert to a percent, multiply by 100 and add a percent sign after it.
.185185 x 100 = 18.5185%
The question says to round to the nearest percent so your answer is:
19%
Let's use a for number of days when he shot 50 shots and b for number of days when he shot 100 shots.
We have:
a + b = 20
We also know that he shot total of 1250 shots:
50a + 100 b = 1250
We have two equations. We can solve them for a and b. Let's rearange first equation for a:
a= 20 - b
We insert this into second equation:
50 * (20 - b ) + 100b = 1250
1000 - 50b + 100b = 1250
50b = 250
b = 5
a = 20 - 5
a = 15
Mark shot 100 shots on 5 days.
Let the cost of one cup of hot chocolate be = x
Let the cost of one cup of hot tea be = y
Paul paid $ 25.50 for 3 cups of hot chocolate and 4 cups of tea.
Equation becomes = 
...(1)
As given, the cost of each cup of tea was 2/3 the cost of each cup of hot chocolate.
.... (2)
Putting the value of y from (2) in (1)
=
=
=
x=4.5
=
y =3
Hence each cup of hot chocolate is $4.50
Each cup of tea is $3.
Answer:
4 + (-5)
Step-by-step explanation:
4 - 5 = 4 + (-5) = -1
Additive inverse of 5 = (-5)
