Answer:
Triangle DEF is a right, scalene triangle. It is not isosceles, obtuse, acute, or equilateral
Step-by-step explanation:
All we know about m and n are that they are not equal to each other and they are positive. This was given in the problem. See image. Once it is graphed you can see on the graph the lengths of DE and EF. Use Pythagorean theorem to calculate DF. see image.
DE is horizontal and EF is vertical, so you can see their slopes or calculate using a formula. Calculate the slope of DF. Slope is y-y on top of a fraction and x-x on the bottom of the fraction.
Lastly, use midpoint formula to find the midpoints. Average the x's and average the y's to find the x- and y-coordinates of the midpoints. See image.
Finally, DEF is a right triangle. The graph as well as the slopes show us that DE and EF form a right angle. So DEF must be a right triangle (and not obtuse nor acute) We were told that m doesNOT equal n, so the triangle cannot have two equal sides, so it cannot be isosceles (2 equal sides) nor equilateral (3 equal sides) It has 3 different lengths of sides; that is called scalene.
Answer:
A example: A customer brought 5 quarts of lemonade from Leah's stand. She also tipped Leah an additional $2. The customer finally paid a total of $27 including the tip. How much is each quart of lemonade worth? If x is what the lemonade is worth, write an equation to figure out the total.
In this problem, the x is what the lemonade is worth. So you should start with a 5x. The customer also tipped $2. So you should add 2 to the 5x. We also know the total, 27.
With the information we can form an equation.
5x + 2 = 27.
To solve, we can subtract 2 from both sides and finally dived by 5 on both sides as well. Your final answer should be x = 5.
Hopefully this is what you're looking for, sorry for being late!
An equation relating the length of the rectangle to its width would be, “l+3=w”. The length plus 3 inches would be equal to the width.
Answer:
y = 3 + 1.5x
Step-by-step explanation:
4y = 12 + 6x
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Divide each side by '4'.
y = 3 + 1.5x
Simplifying
y = 3 + 1.5x