Answer:
8
Step-by-step explanation:
This one is similar to the other one done with graphs , the only difference is we have equations instead of graphs.
Like the other one, we want to find f(2) and whatever that equals we plug into g(x) to find g(f(2))
So first lets find f(2)
f(x) = x - 4
f(2) = 2 - 4
f(2) = -2
g(f(2)) , f(2) = -2 , g(-2)
now lets find g(-2)
g(x) = -2x + 4
g(-2) = -2(-2) + 4
multiply -2 and -2 to get 4
g(-2) = 4 + 4
add 4 and 4 to get 8
g(-2) = 8
We can conclude that g(f(2)) = 8
Answer:
1st Option;
j = 4.5
k = 2
Step-by-step explanation:
Let's solve for "j" first:
=> We know that by the definition of midpoint segment theorem we can say;
3j = 5j - 9
0 = 5j - 3j - 9
0 = 2j - 9
0 + 9 = 2j
9 = 2j
9/2 = j
4.5 = j
=> Now that we have j-value we use the same method to solve for k-value;
6k = k + 10
6k - k = 10
5k = 10
k = 10/5
k = 2
Therefore;
j = 4.5
k = 2
<u>So the first option would be correct!</u>
Hope this helps!
Answer:
Step-by-step explanation:
Let q : The four sides because a rectangle has four sides.
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
