Answer:
Step-by-step explanation:
1). segment AB ≅ segment AE ......... 1). Given
2). ΔBAE is isosceles .............. 2). Definition of isosceles Δs
3). ∠ABC ≅ ∠AEB ............. 3). Corollary to isosceles Δs theorem
4). segment BG ≅ segment EF ........ 4). Definition of midpoints
5). segment BC ≅ segment ED ......... 5) Given
6). segment CD ≅ segment DC ....... 6). Reflexive property
7). segment BD ≅ segment EC ........ 7). Property of sum of equals parts
8). ΔBGD ≅ Δ EFC ............... 8). SAS postulate
9). ∠1 ≅ ∠2 ............ 9). Corresponding parts of congruent Δs
10). ΔCHD is isosceles ............ 10). Corollary to isosceles Δs theorem
Answer: $2936.27
Step-by-step explanation:
Present value = $1663
Rate = 5.5%
Time(n) = 19years
Future value= PV(1+r)^n
= 1663(1+5.5%)^19
= 1663(1.055)^19
=1663 × 2.766
=4599.86
Interest = Future value - Present value
= $4599 - $1663
= 2936
5+10+10+12+14+7= 58
x= 70-58
x=12 ft
Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Answer: function 1
Rate of change of function 1:
Following the format of y=mx+c, the rate of change should be m, so, the rate of change for function 1 = 4
To find the gradient (rate of change):
The two points the line passes through are (x1, y1) and (x2, y2), which in this case is (1, 6) and (3, 10)
(Doesn't matter which is which but you need to make sure that once you decide which is which, you stick to it)
To calculate the gradient, you substitute these values following (y1 - y2)/(x1 - x2)
Gradient of function 2 = (10 - 6)/(3 - 1)
= 2
Therefore, since 4 > 2, rate of change of function 1 > rate of change of function 2.
