Slope RS: 2/3
Slope ST: -3/2
Slope TU: 4/6 = 2/3
Slope UR: -1/5
Sides RS and TU have the same slope, so they are parallel.
The slope of side ST is the negative reciprocal of the slopes of sides RS and TU, so side ST is perpendicular to sides RS and TU.
Side UR is not parallel or perpendicular to any other side.
The quadrilateral is a trapezoid.
Answer:
ONE
Step-by-step explanation:
Answer:
Maggie is incorrect.
Step-by-step explanation:
PEMDAS tells us the order of operations and the steps of solving a mathematical statement. It states that exponents must be performed before multiplication or division.
P - Parentheses
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
Therefore, to solve 12÷3² correctly, 3² needs to be simplified to 9 <em>before</em> dividing.
I hope this helps!
Answer:
23 inches
Step-by-step explanation:
If we add 5 inches to the shortest side, all sides will be the same length and the perimeter will be 69 inches. The longest sides have length that is 1/3 that, or ...
... (1/3)·(64 +5 in) = 23 in
_____
You can solve for x, but you obviously don't need to.
The perimeter is ...
... (4x -2) + 2(4x -2 +5) = 64
... 12x +4 = 64
... 12x = 60
... x = 5
... 4x -2 +5 = 4·5 +3 = 23 . . . . the length of the longest side in inches
