Answer:
AB: 24
BC: 15
CD: 24
AD: 15
Step-by-step explanation:
A quadrilateral is any shape with four sides. A parallelogram has four sides, therefore it is classified as a quadrilateral.
The opposite sides of a parallelogram are equal to each other, so make the opposite sides of this parallelogram equal to each other in an equation.
AB = DC
AD = BC
Now you have a system of equations that you can solve by substitution.
Solve for y in the first equation by subtracting 2 from both sides.
Subtract 3y from both sides of the equation.
Divide both sides of the equation by negative 1 to make y a positive number.
Substitute this value of y into the second equation we made.
3x + 6 = (11) + 4
Combine like terms on the right side of the equation then subtract 6 from what you get.
Divide both sides of the equation by 3.
To find the length of each side of the parallelogram, substitute x into AD and y into AB.
- AD: 3(3) + 6 = 15
- AB: 2(11) + 2 = 24
Since AD = BC and AB = DC, you know the lengths for these sides as well.
Answer:
A #1 ( x+2)2 (x-2)2
Step-by-step explanation:
it is the only one that could possibly work
The formula to find the slope of a line is m=(y2-y1)/(x2-x1). In this question: x1=3, x2=2, y1=5, and y2=1. Plug in and solve:
(1-5)/(2-3)=-4/-1=4=m
Slope-intercept form follows the format: y=mx+b, where m is the slope and b is the y-intercept. We calculated m to be 4, so the equation reads:
y=4x+b
To solve for b, you can select one of the ordered pairs (we'll use (2,1)), plug them in for x and y, and solve for b:
1=4(2)+b
1=8+b
-7=b
The equation is y=4x-7.
Hope this helps!!
10^2+15^2=
100+225=325
The square root of 325 is 18.0277563773 is you round it to the hundredths place it’s 18.03