Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
Answer:
<h2>x=3/2, y=4</h2>
Step-by-step explanation:
3y=6x+3
solve by substitution for 3y=6x+3
3y=4x+6
6x+3=4x+6
6x-4x=6-3
2x=3
<h2>x=3/2</h2>
3y=6x+3 ⇒ y=6x/3 + 3/3 ⇒ y=2x+1
y=2x+1 ( substitute x=3/2)
y=2(3/2)+1
y=3+1
<h2>y=4</h2>
Answer:
x = 35, y = 26.5
Step-by-step explanation:
x = 35 ( Alternate angles are congruent )
The sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2y - 10 + 35 + 102 = 180, that is
2y + 127 = 180 ( subtract 127 from both sides )
2y = 53 ( divide both sides by 2 )
y = 26.5
