Answer:
The factors are 2,3,4,5,8,10
Step-by-step explanation:
Here, we want to list out the factors that can divide 33, 424 and 380
The factors include;
2, 3 , 4 , 5, 8, 10
Kindly note that each of these factors can divide at least one of the listed numbers
Answer:
x = 8, and y = 12
Step-by-step explanation:
There are 2 variables, so you need 2 equations to form a system of equations in two variables.
The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.
First equation:
100 + 2x + y + 5x + y = 180
Simplify:
7x + 2y = 80 (First equation)
Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.
Second equation:
2x + y = 5x - y
Simplify:
3x - 2y = 0 (Second equation)
Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.
7x + 2y = 80
3x - 2y = 0
Solve the second equation for 2x.
3x = 2y
Now replace 2y in the first equation with 3x.
7x + 3x = 80
10x = 80
x = 8
Replace x with 8 in the second equation.
3(8) - 2x = 0
24 = 2x
x = 12
Answer: x = 8, and y = 12
<span><span><span><span><span>−12</span><span>a3</span></span><span>b2</span></span>c</span><span><span><span><span>-12</span><span>a3</span></span><span>b2</span></span>c</span></span> out of <span><span><span><span><span><span>−24</span><span>a3</span></span><span>b3</span></span><span>c3</span></span><span><span><span><span>−84</span><span>a4</span></span><span>b2</span></span>c</span></span><span><span><span><span><span>-24</span><span>a3</span></span><span>b3</span></span><span>c3</span></span><span><span><span><span>-84</span><span>a4</span></span><span>b2</span></span>c</span></span></span>.
<span><span><span><span><span><span>−12</span><span>a3</span></span><span>b2</span></span>c</span><span>(<span><span><span>2b</span><span>c2</span></span>+<span>7a</span></span>)</span></span><span><span><span><span><span>-12</span><span>a3</span></span><span>b2</span></span>c</span><span><span><span>2b</span><span>c2</span></span>+<span>7a</span></span></span></span>
48 inches to 30 inches is a decrease.
percent decrease = change/original value x 100%
= (48 - 30)/48 x 100%
= 18/48 x 100%
= 37.5% decrease