1. Angle LKM and Angle JKM are supplementary 1. LJ is a straight line, since K is a midpoint
2. LK = KJ 2. K is a midpoint
3. Angle L + Angle M + Angle LKM = Angle LKM + Angle MJK 3. A triangle's total degrees is equal to the total degrees of two supplementary angles.
4. Angle JKM = Angle L + Angle M 4. Simple Algebra: Subtract Angle
5. LK = KM 5. MK is intersecting LJ at a midpoint.
6. Triangle LKM is isoceles 6. Two of three sides and angles are equal.
14 - 6 = 8
10 - 8 = 2
FG = 2
Say the first trip was x.
The second trip would be 2x-4.
The third would be 2(2x-4) = 4x-8
The forth would be 3x+18
The total of these would be x + 2x - 4 + 4x - 8 + 3x + 18
This can be simplified to 10x + 6
This means that 10x+6 = 426
Minus 6 from both sides
10x = 420
Divide both sides by 10
x = 42
Trip 1 = x = 42km
Trip 2 = 2x-4 = 84-4 = 80km
Trip 3 = 4x-8 = 168-8 = 160km
Trip 4 = 3x+18 = 126+18 = 144km
Here's the equation:
0.90(5.99) + 0.04(0.9(5.99))
We can simplify this:
0.90(5.99) + 0.036(5.99)
5.391 + 0.21564
5.60664
We can round:
It will cost about $5.61
Answer:
30
Step-by-step explanation:
area of triangle 1/2 b×h
1/2 10×6=30m^×
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