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:
600 miles
Step-by-step explanation:
The actual distances between the cities are expected to be proportional to those on the map.
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AB/(1.8 ft) = CD/(2.16 ft) . . . . ratio of miles to feet is constant
CD = AB(2.16 ft)/(1.8 ft) = (500 mi)(6/5)
CD = 600 mi
The actual distance between City C and City D is about 600 miles.
9514 1404 393
Answer:
x = {-0.44, 1.69}
Step-by-step explanation:
Multiply by the denominator to eliminate the fraction.
3 = x(4x -5)
4x^2 -5x -3 = 0 . . . . . subtract 3 and put in standard form
Using the quadratic formula with a=4, b=-5, c=-3, we have the solutions as ...
Solutions rounded to hundredths are ...
x = -0.44
x = 1.69
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A graphing calculator can show the x-intercepts easily, so it works well to write the equation in the form
f(x) = 0
3/(4x -5) -x = 0
Answer:
735x0.01
Step-by-step explanation:
Answer:
33% of 25 is 8.25 I did 25/100 x 33 to get 8.25. 25-8.25=16.75 16.75 is sales price
Step-by-step explanation: