A = ab ( the area of rectangle )
a b = 192
a b r² = 363
192 r² = 363
r = √363 / 192 = √121/64
r = 11/8
The similarity ratio of the two rectangles is 11/8.
Let's call this line y=mx+C, whereby 'm' will be its gradient and 'C' will be its constant.
If this line is parallel to the line you've just mentioned, it will have a gradient 2/3. We know this, because when we re-arrange the equation you've given us, we get...

So, at the moment, our parallel line looks like this...
y=(2/3)*x + C
However, you mentioned that this line passes through the point Q(1, -2). If this is the case, for the line (almost complete) above, when x=1, y=-2. With this information, we can figure out the constant of the line we want to find.
-2=(2/3)*(1) + C
Therefore:
C = - 2 - (2/3)
C = - 6/3 - 2/3
C = - 8/3
This means that the line you are looking for is:
y=(2/3)*x - (8/3)
Let's find out if this is truly the case with a handy graphing app... Well, it turns out that I'm correct.
Given the simple interest formula:
I = P•R•T
where:
I = interest
P = principal
R = interest rate
T = time (in years)
We can isolate R algebraically to find out the interest rate:
I = P•R•T
Divide both sides by P•T:
I / (P•T) = (P•R•T)/(P•T)
The formula for the interest rate is:
R = I / (P•T)
Substitute the given values into this formula to solve for the interest rate (R):
R = I / (P•T)
R = $490/ ($1,400 • 5 years)
R = $490 / $7,000
R = 0.07 or 7%
Therefore, the interest rate is 7%.
Please mark my answers as the Brainliest if you find my explanations and solution helpful :)
This question is super easy.


Hope this helps!
Thanks!
-Charlie
Answer:
120°
Step-by-step explanation:
All the angles of an equilateral triangle are equal, and hence have a measure of 60°.
∵ ∠AGF is a part of equilateral Δ AGF, m∠AGF = 60°.
∵ ∠FGE is a part of equilateral Δ AGF, m∠FGE = 60°.
Also note that ∠AGE = ∠AGF + ∠FGE.
⇒ m∠AGE = m∠AGF + m∠FGE
⇒ m∠AGE = 60° + 60°
= 120°.