Answer: 16 points
Step-by-step explanation:
12+4=16 You have to add 4 points to the 12 points he got on the second game because in the problem it says that the second game had 4 fewer points then the first.
Answer:
21, 22, and 23
Step-by-step explanation:
Three consecutive natural numbers can be represented as n, n+1, and n+2.
The square of the smallest number would be
and its equal to the product of the other two (n+1)(n+2).
So the equation is
.
If n is 21 then the next numbers are 22 and 23.
Answer:
y = 1.5x
Step-by-step explanation:
The statement is valid. To set up a Euler diagram, follow these steps
Step 1) Draw a large circle and label it circle A
Step 2) Inside this large circle, draw a smaller circle and label it circle B
Circle A will represent the set of all obtuse angles (any angles that are between 90 and 180 degrees). Circle B represents only one item: the angle value of 150 degrees. All of circle B is inside circle A because 150 degrees is between 90 and 180; therefore, 150 is obtuse. This is simply the definition of what "obtuse" means.
So if you threw a dart and it landed in circle B, then you know for sure it landed in circle A as well. This is effectively saying "if you get a 150 degree angle, then you know its obtuse"
This is a visual way to back up the conditional statements you used earlier and help add more evidence that the statement "A 150 degree angle is an obtuse angle" is a valid statement.
Answer:
11.661904
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