Answer:
Step-by-step explanation:
Given:
Now, from the figure shown below,
The sum of angle efh and angle hfg is equal to the angle efg. This is true because of the angle addition postulate which states that when two angles are formed with the same vertex and different sides, then their sum is equal to the total angle made by both the sides at the vertex.
Here, point 'f' is the vertex and the sides are 'ef and 'fg'.
Therefore,
Plug in their values and solve for 'x'. This gives,
Therefore, the angle measure of each are:
Are you familiar with PEMDAS?
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Answer:
K = 8.3 repeating or 8 1/3
Step-by-step explanation:
3k - 5 = 20
Add 5 to the '-5' and 20 so you'll now have 3k = 25 (You're isolating the variable )
3k/3 = k
25/3 = 8.3 repeating or 8 1/3
K = 8 1/3 or 8.3 repeating.
Answer:
Step-by-step explanation:
We have 2 linear equations, and in both, the amount of merchandise you would have to purchase is "x", the unknown. We are asked to find that value of x.
The first equation is
C(x) = .30x + 90, which says that the cost of this plan is a fixed $90, and you pay 30% of the manufacturer's cost, x.
The second equation is
C(x) = .80x + 40, which says that the cost of this plan is a fixed $40, and you pay 80% of the manufacturer's cost, x.
If we want to know when the cost of these 2 are equal to each other, we set the equations equal to each other and solve for x:
.3x + 90 = .8x + 40 so
-.5x = -50 so
x = $100
The cost for each plan will be the same at this value of x, but we will plug in 100 for x in each just to make sure we did it right:
C(100) = .3(100) + 90
C(100) = 30 + 90
C(100) = 120 and
C(100) = .8(100) + 40
C(100) = 80 + 40
C(100) = 120
Step-by-step explanation:
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