The dimensions she would take are length = 24cm and width = 7cm
<h3>What is a rectangle?</h3>
A rectangle is a polygon with 4 sides and 4 right angles.
Analysis:
let the width be = x
Length = 2x + 10
Diagonal = 25
The diagonal, length and width of the rectangle form a right angle triangle and by Pythagoras,
= +
625 = + 4 + 40x + 100
5 + 40x +100 - 625 = 0
5 + 40x - 525 = 0
divide through by 5
+ 8x - 105 = 0
+15x - 7x - 105
x(x + 15) -7(x + 15) = 0
(x-7)(x+15) = 0
since dimension cannot be negative x = 7
so width is 7cm
Length = 2x+ 10 = 2(7) + 10 = 24cm
In conclusion, the dimensions are 24cm and 7cm.
Learn more about rectangles: brainly.com/question/25292087
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Answer: 60 degrees
Step-by-step explanation:
Since we know that the sum of the angles in a triangle is 180 degrees, that means x + x+ x = 180.
3x = 180
x = 60.
Another way we could figure out that x = 60 was by realizing that this is an equilateral triangle, which means each angle must = 60 degrees.
12. The inverse relation has the x- and y-values swapped.
The appropriate choice is ...
D. (13, 5)
Hi there
The equation of plan A
Y=1000+100x
Where x is the number of years
The equation of plan B
Y=1000 (1+0.05)^x
Where x is the number of
The correct Option was A because
Plan A be worth after 2 years
Y=1000+100×2
Y=1200
Plan B be worth after 2 years
Y=1,000×(1+0.05)^(2)
Y=1,102.5
1200 is more than 1102.5
So it's A
Hope it helps
X2+12x+11=0
x2+12x+(12/2)^2-(12/2)^2+11=0
(x+6)^2-36+11=0
(x+6)^2=25
(x+6)=+-5
x= +5-6 or -5-6
= -1 or- 11