Answer:
youngest 17
middle 19
oldest 21
Step-by-step explanation:
Three sisters have ages that are consecutive odd integers
youngest = x
middle = x + 2
oldest = x + 4
--------------------
The sum of the age of the youngest
x
and three times the age of the oldest
+ 3(x + 4)
is five less than five times the middle sister’s age
= 5(x + 2) - 5
-----------------------
x + 3(x + 4) = 5(x + 2) - 5
Distribute
x + 3x + 12 = 5x + 10 - 5
Combine like terms
4x + 12 = 5x - 5
Subtract 4x from both sides
12 = x - 5
Add 5 to both sides
17 = x
youngest x = 17
middle x + 2 = 19
oldest x + 4 = 21
Answer:
<6 and <16 are alternate exterior angles.
Answer:
Yes
Step-by-step explanation:
The radius of the circle is 9. If we imagine the distance to (8, sqrt 17) as a right triangle, where one leg is 8 and the other is square root 17, we can use the Pythagorean formula to solve this
8^2 (64) + sqrt 17^2 (17)= c^2
81=c^c
9=c
we can see that since the radius to the origin is 9, this point indeed lies on the circle.
