I'm pretty sure it's 28 but sorry if I'm wrong it might be 44
Answer:
n = 3
Step-by-step explanation:
-6n - 20 = -2n + 4 (1-3n)
First distribute the 4 (1-3n)
-6n - 20 = -2n + 4 - 12n
Combine like terms on the right side
-6n - 20 = -14n + 4
Get 'n' on one side by adding -6n to both sides
-20 = -8n + 4
Subtract 4 to both sides
-24 = -8n
Divide -8 to both sides
3 = n
9514 1404 393
Answer:
24
Step-by-step explanation:
Let d represent Donald's age now. Then Natali's age now is d+38. The age relationship 5 years ago was ...
(d+38) -5 = 3(d -5)
d +33 = 3d -15 . . . . . eliminate parentheses
48 = 2d . . . . . . . . . . . add 15-d
24 = d . . . . . . . . . . . . . divide by 2
Donald is 24 years old now.
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<em>Alternate solution</em>
You can also work this by considering that 5 years ago, Natalie's age was more than Donald's age by twice Donald's age then. Hence Donald was 38/2 = 19 at that time. Now, Donald is 19+5 = 24.
<h3>Answer: RS = 16</h3>
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Explanation:
The ratio QR : RS : ST is equal to 1 : 4 : 5
This means we have the following three equations
For some positive number x.
Note the ratio QR : RS : ST turns into x : 4x : 5x, which reduces to 1 : 4 : 5 when we divide all three parts by x
.
Along with those three equations, we'll also use QT = 40 as well.
Now turn to the segment addition postulate. Plug in the equations mentioned earlier, and solve for x
.
QT = QR + RS + ST
40 = x+4x+5x
40 = 10x
10x = 40
x = 40/10
x = 4
So we know that
QR = x = 4
RS = 4x = 4*4 = 16
ST = 5x = 5*4 = 20
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As a check,
QR + RS + ST = 4 + 16 + 20 = 40
which is the same as QT = 40
Therefore, we've confirmed that QR + RS + ST = QT is correct and we've confirmed our answers.
