A simple diagram will show you the intersection of altitudes is in the 2nd quadrant. It must have x-coordinate -2, as the altitude to the "base" y=10 must be the vertical line through (-2, 4).
The appropriate choice is ...
... C: (-2, 12)
Answer:
the answer will be 7.5 feet
Step-by-step explanation:
x = 37.5 (or) 
Solution:
Given 
AC = 50, DE = 30, EC = 25, BE = x, BC = 25 + x
To find the value of x:
Property of similar triangles:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.


Do cross multiplication, we get


Subtract 30x from both sides of the equation.

Divide by 20 on both sides of the equation, we get
x = 37.5 (or) 
Hence the value of x is 37.5 or
.
Given the table
C : 1, 2, 3, 4, 5
F(C) : 4, 6, 8, 10, 12
Usually, the independent variable is represented by the x-value while the dependent variable (or the function) is represented by the y-value.
Thus the points represented by the table are:
(1, 4), (2, 6), (3, 8), (4, 10) and (5, 15).
Answer:
$17,771.92
Step-by-step explanation:
A = P (1 + r/n)^nt
A = Future value (the answer you're trying to find)
P = Initial deposit ($1000)
R = Interest rate (8.25%; this will be represented as a decimal in the equation (.0825))
N = # of times interest is compounded per unit t (12)
T = Time (35)
35 * 12 = 420
1000 (1 + .0825/12)^420
1000(1.006875)^420
1000*17.77191635
A = $17,771.92 (rounded to the nearest hundredths)