First, write an equation system based on the problem
An equation for "the perimeter of a rectangle is 70 in" can be written as following
∴ 2l + 2w = 70 <em>(first equation)</em>
An equation for "the length is 11 in more than its width" can be written as following
∴ l = w + 11 <em>(second equation)</em>
Second, solve the equation by substitution method o find the dimension of the rectangle.
Substitute/plug l as (w+11) into the first equation
2l + 2w = 70
2(w + 11) + 2w = 70
2w + 22 + 2w = 70
4w + 22 = 70
4w = 70 - 22
4w = 48
w = 48/4
w = 12
The width of the rectangle is 12 in
Substitute w with 12 to the second equation
l = w + 11
l = 12 + 11
l = 23
The length of the rectangle is 23 in
Third, find the area of the rectangle
a = l × w
a = 23 × 12
a = 276
The area of the rectangle is 276 in²
Answer:
Consider triangle ABC with vertices at points A(2,-4), B(4,-4) and C(4,-2).
1. The rotation acts with the rule:
Then:
2. The reflection across the y-axis has a rule:
So,
Triangle A''B''C'' is exactly the same as tiangle from figure 1.
Answer: correct choice is 1.
PLZ brainliest answer
Step-by-step explanation:
Answer:3x^3+6x^2+8x+24 R-47/X-2
Step-by-step explanation:
The sum of the interior and exterior angle need to equal 180 degrees.
Let the exterior angle = X
You are told the interior angle = 38x +24
Now you have x + 38x +24 = 180
Combine like terms:
39x +24 = 180
Subtract 24 from each side:
39x = 156
Divide both sides by 39:
x = 156 / 39
x = 4
The number of sides is found by dividing 360 by the exterior angle:
360 / 4 = 90
There are 90 sides.