45+5.25n>108
-45 -45
————————
5.25n > 63
Divide both sides by 5.25
n>12
Answer:
y=60° b=60°
Step-by-step explanation:
the sum of all degrees of interior triangle is 180
in the first one, 30° and 90° have been given.(that small square represent 90°)
so 180°-90°-30°=60°
in the second one, the 120° is on the other side of a line, a line has a degree of 180, therefore the interior angle is 60°, the same rule 180°-2*60°=60°
So if we see the first one (8,4) x=8 and y=4
And we see the 2nd one (4,y) x=4 and y=?
We notice that the value of x its been halved. So y varies with x so y value also has to be halved so y= 2
The correct answer is C. 4.
Typically, we look to multiply by the bottom number (the denominator) in order to get fractions to cancel out. If we multiply 1/6 by 6, we get just 1, which is why we do it.
In this problem, you have two different denominators, 2 and 4. If you multiply them all by 2, the term -3/4m will still be a fraction.
-3/4m * 2 = -3/2m
As a result, we must try 4 instead. This causes all of them to cease being a fraction. Even the one with 2 as a denominator.
-1/2 * 4 = -2
We know that the perimeter of a rectangle = 2(l + w)
l = length
w = width
In our problem,
l = 5x
w = 5x - 4
Let's create an inequality to help us solve this problem.
2(5x + (5x - 4)) ≥ 96
Let's start off by simplifying the terms inside the parentheses.
2(10x - 4) ≥ 96
Distribute the 2
20x - 8 ≥ 96
Add 8 to both sides.
20x ≥ 104
Divide both sides by 20
x ≥ 5.2
Let's plug 5.2 into x for our length and width.
Length = 5x = 5(5.2) = 26 cm
Width = 5x - 4 = 5(5.2) - 4 = 26 - 4 = 22 cm
The smallest possible dimensions for the rectangle are, length = 26 cm and width = 22 cm
