Answer: the perimeter of the shape is 19.1
Step-by-step explanation:
To determine the length of each side of the quadrilateral, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side
For line AD,
AD² = 2² + 4² = 4 + 16 = 20
AD = √20 = 4.47
For line AB,
AB² = 1² + 5² = 1 + 25 = 26
AB = √26 = 5.1
For line BC,
BC² = 2² + 4² = 4 + 16 = 20
BC = √20 = 4.47
For line CD,
CD² = 1² + 5² = 1 + 25 = 26
CD = √26 = 5.1
The perimeter of a plane figure is the distance around the figure. Therefore
Perimeter = AB + AB + BC + CD
Perimeter = 4.47 + 5.1 + 4.47 + 5.1 =
19.1
Answer:
55%
the percent decrease of the sale price from the regular price is 55%
Step-by-step explanation:
Percentage decrease is the percentage change in the sales price (regular and new)
Percentage decrease %∆P = ∆P/Pr × 100%
∆P = change in sales price = $135 - $60.75
Pr = regular price = $135
Substituting the values;
%∆P = (135-60.75)/135 × 100%
%∆P = 55%
the percent decrease of the sale price from the regular price is 55%
No, 5(x-1) expands out to make 5x-5. So 5x-1 and 5x-5 aren’t equivalent.
Answer:
The constant of proportionality is basically just the slope, so the answer is 1/6.
Step-by-step explanation:
Count how many Y units it goes up to get the the black point from (0,0) (the origin). You go up 1 unit to go 6 units to the right meaning the slope is 1/6.
That is the rise over run technique and there are many others, such as point slope form, and y2-y1 over x2-x1.
Hope this helps!