Rationalize the numerator:
This is continuous at 
, so we can evaluate the limit directly by substitution:
When we draw a circle with the centre at D and have a tangent HF to the circle D at point E, the angle DEF will be a right angle.
In other words angle DEF = 90 degrees
Since HF, the tangent, is a straight line, the other angle DEH should also be = 90 degrees because the straight line has an angle of 180 degrees
Therefore angle DEF = angle DEH = 90 degrees
Therefore, angle DEF is congruent to angle DEH (Option A)
3(2-y) + y = 4.50
6 - 3y + y = 4.50
- 2y = -1.5
y = 0.75
3x + y = 4.50
3x + 0.75 = 4.50
3x = 3.75
x = 1.25
answer
x = 1.25 and y = 0.75
cost of one lemonade = 75 cents
Step-by-step explanation:
BC = AD (opposite sides in parallelogram is equal)
x + 8 = 2x + 1
8 - 1 = 2x - x
7 = x
x = 7
BC = x + 8 = 7 + 8 = 15
<h3>
Answer: Choice C) $1125</h3>
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Explanation:
We'll add up the values in the bottom row of the table.
A value like +150 is the same as simply saying 150
The negatives stick around.
Adding up the values in that row gets us
150 + (-50) + 400 + 300 + (-175) + (-250) = 375
This indicates that over the entire 6 month period, the overall change is +375
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In other words, the initial investment (call it x) has increased by 375 dollars over the 6 month period.
We can then say:
x + 375 = 1500
x = 1500-375
x = 1125
She initially invested $1125
