The following statements are true:
The tree grows approximately 7 feet between years 5 and 7;
the tree stops growing at around 30 feet
In graphing the function, we see that the initial value, when x = 0, is 1 ft, not 2.
Additionally, we can see the values as the height increases; when the tree hits 15 feet, it continues to grow at around 1.5 feet every 0.4 years until it hits around 25 feet tall. Then it begins to slow down.
Use the FOIL method to multiply these terms. Multiply the first, outside, inside, and last terms:
(5x - 4)(2x - 5)
(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)
10x² - 25x - 8x + 20
10x² - 33x + 20
The area of the rectangle should be 10x² - 33x + 20.
The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
Answer:
Stated Below:
Step-by-step explanation:
x + y = 90 because the 2 angles add up to 90
.
Now, m < x = five times m < y, so x = 5y or y = x/5
So the last choice is the correct one.
