The length of B'C' in the rectangle A'B'C'D' = 9 units.
<u>Step-by-step explanation</u>:
step 1 :
Draw a rectangle with vertices ABCD in clockwise direction.
where, AB and DC are width of the rectangle ABCD.
AD and BC are length of the rectangle ABCD.
step 2 :
Now,
The length of the rectangle is AD = 5 units and
The width of the rectangle is AB = 3 units.
step 3 :
Draw another rectangle with vertices A'B'C'D' extended from vertices of the previous rectangle ABCD.
step 3 :
The length of the new rectangle is A'D' which is 4 units down from AD.
∴ The length of A'D' = length of AD + 4 units = 5+4 = 9 units
step 4 :
Since B'C' is also the length of the rectangle A'B'C'D', then the measure of B'C' is 9 units.
Answer:
y = (-5/8)x + 2
Step-by-step explanation:
y = mx + 2 and it has the point (8,-3)
So the given b = 2 because linear equation is y = mx + b
Now let's solve for m by using the point (8,-3)
-3 = m(8) +2
8m = -5 => m = -5/8
Therefore, the final equation is
y = (-5/8)x + 2
Answer:
The amount of reward that Sophia receives is
Step-by-step explanation:
Let
x------> amount of reward that Sophia receives
y-----> amount of reward that Isabella receives
we know that
------> equation A
-----> equation B
Substitute equation A in equation B
Find the value of x
Ax + z = aw - y
Ax + z - aw = -y
- Ax - z + aw = y <==