Answer:
750 mm, 7.5 cm
Step-by-step explanation:
Verify each case
case a) 2.5 km, 2,500 m
we know that
1 km ------> 1.000 m
so
2.5 km=2,500 m
therefore
The pair of measurements is equivalent
case b) 750 mm, 7.5 cm
we know that
1 cm ------> 10 mm m
so
7.5 cm=75 mm
therefore
<u>The pair of measurements is not equivalent</u>
case c) 3 m, 3,000 mm
we know that
1 m ------> 1.000 mm
so
3 m=3,000 mm
therefore
The pair of measurements is equivalent
case d) 120 cm, 1.2 m
we know that
1 m ------> 100 cm
so
1.2 m=120 cm
therefore
The pair of measurements is equivalent
3.122
The process to getting this comes in many steps. Firstly, you need to find the angles for JLK and MLJ. To find JLK use the arcsin function using the opposite side and the hypotenuse.
Arcsin(Opp/Hype) = JLK
Arcsin(.5) = JLK
30 degrees = JLK
This means MLJ = 31 degrees since they add up to 61 degrees.
Now we need to find the length of LJ, which we can do using the Pythagorean Theorem.
3^2 + JL^2 = 6^2
9 + JL^2 = 36
JL^2 = 27
JL =

Now that we have the angle of MLJ and the length of JL, we can use the tangent function to find MJ.
Tan(angle) = opp/adj
Tan(31) = MJ/


Tan(31) = MJ
3.122 = MJ
1. Subtract $18 from $25.
2. Add $50 to that.
3. Subtract the total from $86.
What remains is how much Adison had to begin with.
8(2+6) = 16 + 48
or
16(1+3) = 16 + 48
or
4(4+12) = 16 + 48