By substitution,
1.5x - 6 = -4.5x + 21
6x = 27
x = 4.5
Hence, y = 1.5(4.5) - 6 = 0.75
Answer:
8 hours worked, 64 dollars
56 dollars, 7 hours worked
themepark:
5 hours worked, 45 dollars
6 hours worked, 54 dollars
8 hours worked, 72 dollars
working at the themepark earns 5 extra dollars when they work for 5 hours.
Answer:
Step-by-step explanation:
We need to note that this is an equation, in which we can solve for x.
We can use a calculator to find the tangent of 39 - we type 39 into the calculator then press the "TAN" button to find it's tangent. We find that to be around 0.81.
We now have the formula simplified down to 
. To solve for x, we want to isolate it on one side, so we can multiply both sides by 68 to get rid of the fraction.
We know have 
, so x is approximately 55.
Hope this helped!
Answer:
ΔRHS ≅ ΔNKW
Step-by-step explanation:
We are given that, in the triangles RHS and NKW.
∠H = ∠K
Side HS = KW.
∠S = ∠W
Now, using the ASA congruence criteria, which states that when two corresponding angles of the triangles are equal with the included side between them is equal, then both the triangles are congruent.
Hence, according to ASA criteria, ΔRHS ≅ ΔNKW.
