Let

Then

and solving for x gives






By the quadratic formula,

but x must be a positive number, so only the positive square root solution is valid.

We identify a = c = 3 and b = 2, so a + b + c = 8.
What r the numbers I can't help you out if I don't have the numbers
we conclude that the dimensions and area of the scaled figure are:
- l₂ = 48 in
- w₂= 32in
- A₂ = 1,536 in^2
How to find the dimensions of the large rectangle?
First, we know that the large rectangle is the smaller rectangle rescaled, with a scale factor k = 4.
This means that each dimension of the smaller rectangle must be multiplied by 4 to get the correspondent dimension on the larger rectangle.
The dimensions of the smaller rectangle are:
l₁ = 12in
w₁ = 8in
Then the correspondent dimensions of the large rectangle are:
l₂ = 4*12in = 48 in
w₂= 4*8in = 32in
Now, the area of the large rectangle is given by the product between the two dimensions, we will get:
A₂ = 48in*32in = 1,536 in^2
Then, we conclude that the dimensions and area of the scaled figure are:
- l₂ = 48 in
- w₂= 32in
- A₂ = 1,536 in^2
If you want to learn more about rectangles:
brainly.com/question/17297081
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Answer:
Angle 3 is 65°, Angle 8 is 115°
Step-by-step explanation:
Angle 3 and 1- Linear Pair
Angle 8 and 1- Alternate Exterior
Answer: $14.85
Step-by-step explanation: 8.98+3.27+1.50=13.75
13.75 x 0.08=1.1
13.75 + 1.1= 14.85