Answer:
0.53
Step-by-step explanation:
0.533
Decimal places go 10ths, 100ths, 1000ths, and so on. The nearest hundred therefore, is the first 3. Looking at the next digit, which is 3, because it's less than 4, we know we have to round down, which makes the answer 0.53
We can simplify this equation and find the value of k.
k ÷ 2 + 1 - 1k = -2k
k ÷ 2 + 1 = -k
k + 1 = -2k
1 = -3k
k = -1/3
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:
Step-by-step explanation:
By definition, CD is an angle bisector. What that does is creates proportionality between the sides of each respective triangle. Here's the proportion:

Cross multiply to get 4x = 22.5 and
x = 5.625