Ruthie wants to construct a line that passes through point P and is perpendicular to AB. What should Ruthie do first?
A) measure the length of segment AB with her compass
B) construct two intersecting arcs with centers A and B
C) use her straight-edge to draw a line from point P to point A
☆☆☆D) construct an arc with center P that intersects segment AB in two points
Answer:
Length: 5 ft; width: 4 ft.
Step-by-step explanation:
A = LW formula for area of rectangle
(2x + 1)(2x) = 20 substitute length, width, and area into formula
4x² + 2x - 20 = 0 use the distributive property to multiply out left side
2x² + x - 10 = 0 divide both sides of equation by 2
(2x + 5)(x - 2) = 0 factor out trinomial
2x + 5 = 0 or x - 2 = 0 use zero product rule to solve for x
2x = -5 or x = 2 subtract 5 from both sides; add 2 to both sides
x = -5/2 or x = 2
We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.
Length: 2x + 1 = 2(2) + 1 = 5
Width: 2x = 2(2) = 4
Length: 5 ft; width: 4 ft.
Answer:
the answer is A. 3225
Step-by-step explanation:
S₃₀ = 30/2 [ 2 x 6 + (30 - 1) x 7 ]
15 [ 12 + 29 x 7 ]
15 [ 12 + 203 ]
15 x 215
=3225
She is incorrect cause if we take the number 20 and take 25% of it it equals 5 so now 20 is only 15. They if we take 75% away from 20 is equals 15 so then we only have 5 from 20 left. Therefore she’s incorrect because 75% leaves 5/20 and 25% leaves 15/20. Hope that makes sense.