Your answer is in the picture. Hope it helps!
Step-by-step explanation:
As these two triangles are similar we know a few things:
Their respective angles will have the same measure
Their respective sides will be proportional to each other.
Knowing this, we can sole for x by creating a proportion of the two given sides
Now we can solve for x
Knowing that the respective angles will be equal we can create this equation to solve for y
And knowing that, again, the angles will be equal to each other If we solve for angle E, we can know the measure of angle H
We are given two of the angles of GEF and the sum of the angles of a triangle is always 180. We can setup an equation as follows
You can plan retirement now to know what you will do later on and plan on how much money you will collect
Answer: Let length = 2x + 3
Let width = x
Area = 54 ft2
length × width = Area
x(2x + 3) = 54
2x2 + 3x = 54
2x2 + 3x - 54 = 0
(2x - 9)(x + 6) = 0
x = 9/2 and x = -6
x = 4.5 and x = -6
We accept x = 4.5 because length cannot be a negative value. Substituting this value into the dimensions:
width = 4.5 ft
length = 2(4.5) + 3 = 9 + 3 = 12 ft
Step-by-step explanation: