Answer:
3 soccer trophies does Joel have
Step-by-step explanation:
As per the statement:
Joel has 24 sports trophies.
⇒Total sport trophies Joel have= 24
It is also given: of the trophies, 1/8 are soccer trophies
We have to find how many soccer trophies does Joel have.

Simplify:

Therefore, 3 soccer trophies does Joel have
Answer:

Step-by-step explanation:
see the attached figure with letters to better understand the problem
Let
a ----> the height of rectangle in mm
b ---> the base of rectangle in mm
step 1
Find the base of rectangle
----> by segment addition postulate
substitute

step 2
Find the height of rectangle
---> by segment addition postulate
substitute the given values

Find the length sides CG
Applying the Pythagorean Theorem

substitute the given values



simplify

therefore

step 3
Find the area of rectangle

we have


substitute

Answer:
C. The graph of G(x) is the graph of F(x) flipped over the y-axis and compressed vertically.
Step-by-step explanation:
The negative in front of the 2 made the function flip over the y-axis. While the 2, compressed the function a little, making it so the function touched 2, vertically.
Answer:
B
Step-by-step explanation:
Answer:
y = 2
Step-by-step explanation:
6y - 2(y + 1) = 3(y - 2) + 6
6y - 2y - 2 = 3y - 6 + 6
6y - 2y - 2 = 3y
4y - 2 = 3y
4y - 2 + 2 = 3y + 2
4y = 3y + 2
4y - 3y = 3y - 3y + 2
y = 2